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    Method for Accelerated Tribological Property Evolution Experiments of Conformal Contact Surfaces in Mixed Lubrication Regime
    ZHANG Ziyang, GONG Yajing, WANG Yuechang
    China Mechanical Engineering    2026, 37 (1): 22-29.   DOI: 10.3969/j.issn.1004-132X.2026.01.003
    Abstract (412)   HTML (109)    PDF(pc) (2108KB)(1145)       Save

    An acceleration experimental design method for hybrid-lubrication conformal-contact surface tribological evolution was proposed. The method was based on the concept of “viscosity-reduction acceleration”, where the asperity contact states were preserved while the evolution of tribological behavior was accelerated by increasing the interaction frequency between surface asperities. The approach was validated by Plint TE-92 friction and wear tester.The results show that at the non-accelerated condition (sliding speed is as 0.2 m/s, temperature is as 25 °C, duration is as 20 min) and the corresponding accelerated condition (sliding speed is as 0.4 m/s, temperature is as 47 °C, duration is as 10 min) share the highly consistent values of friction coefficient, and 3D surface parameters Sq and Ssk. It indicates that the wear effect of 10-minute in test with accelerated parameters is equivalent to that of 20-minute in test with non-accelerated parameters.

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    Tribological Properties of Polyelectrolyte-Modified PEEK Composite Materials
    GAO Chuanbao, ZHANG Xinyue, CEN Jiajia, CHEN Qin, FENG Haiyan, CHEN Kai, ZHANG Dekun
    China Mechanical Engineering    2026, 37 (1): 14-21.   DOI: 10.3969/j.issn.1004-132X.2026.01.002
    Abstract (485)   HTML (139)    PDF(pc) (2572KB)(1131)       Save

    To enhance the tribological properties of PEEK, a “modify-then-form” approach was proposed. Hydrophilic SPMK was grafted onto the PEEK powder surface via UV-induced polymerization, then the PEEK-SPMK composites were prepared by hot-pressing. The friction and wear behaviors of modified PEEK under various operating conditions were analyzed, revealing the influence mechanism and lubrication mechanism of polyelectrolyte SPMK powder modification on the tribological behavior of PEEK composites.Results indicate that SPMK powder modification significantly enhances PEEK surface wettability. The friction coefficient(0.028) and wear rate(5.6×10-7 mm³/(N·m)) of PEEK-SPMK in physiological saline are markedly reduced compared to pure PEEK.

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    Tribological Properties and Mechanism of Nanostructured Carbon Films under Coupling Effect of Temperature and Electric Field
    YU Zhimin, CHEN Lei, FAN Xue
    China Mechanical Engineering    2026, 37 (1): 30-39.   DOI: 10.3969/j.issn.1004-132X.2026.01.004
    Abstract (417)   HTML (58)    PDF(pc) (7563KB)(887)       Save

    The nanostructured carbon films including amorphous carbon films and graphene nanocrystalline carbon films were prepared on SiO2 substrates. A self-designed reciprocating tribometer capable for applying coupled multi-physical fields was employed to investigate the tribological properties of the different nanostructured carbon films under the coupling effect of temperature and electric field. At room temperature, the electric field was the dominant factor for affecting the friction coefficient of nanostructured carbon films. When the temperature of tribopair was 200 ℃, temperature became the main influencing factor. Under the coupling effects of temperature and electric field, the structured evolution to graphitic-like structure leads the reduction of friction coefficient of amorphous carbon film. While the nanostructure of graphene nanocrystalline carbon film is stable, but the aggravated wear results in significant fluctuations of friction coefficient.

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    Research Progresses of Current Carrying Tribological Behavior of Materials under Influences of Service Environment
    SHEN Mingxue, CHEN Siyang, WU Haihong, XIAO Li, Wang Nenghui, JI Dehui
    China Mechanical Engineering    2026, 37 (1): 2-13.   DOI: 10.3969/j.issn.1004-132X.2026.01.001
    Abstract (547)   HTML (44)    PDF(pc) (29450KB)(805)       Save

    The research progresses on current-carrying tribological behavior of materials under service environmental influences were reviewed herein. It was summarized that the tribological performance and the dynamic evolution of electrical arcs under various environmental conditions such as humidity, temperature, atmosphere, crosswind, and air pressure. The mechanism of current-carrying wear under different service environments was clarified, along with the roles of third‑body media (e.g., water, ice, oxide films) induced by the environments in wear damage and arc erosion of the friction pairs. The intrinsic relationship between external environmental factors and material damage in current-carrying friction pairs was revealed to advance the development of current-carrying friction theory.

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    China Mechanical Engineering    2026, 37 (1): 1-1.  
    Abstract (244)   HTML (65)    PDF(pc) (276KB)(662)       Save
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    Failure Probability Analysis of Temperature Field in Wet Friction Components Based on Macro-Micro Frictional Contact Model
    WU Jianpeng, DING Ao, MA Biao, LI Heyan, WANG Liyong, YANG Chengbing
    China Mechanical Engineering    2026, 37 (1): 40-50.   DOI: 10.3969/j.issn.1004-132X.2026.01.005
    Abstract (344)   HTML (50)    PDF(pc) (29170KB)(559)       Save

    Aiming at accurately quantifying the failure probability of temperature fields for wet friction components, a macro-micro friction contact model, with the interaction of thermal-mechanical coupling simulation and single asperity contact model, was established to acquire temperature, and a statistical model for temperature field failure probability was constructed. The method utilized kernel density estimation to establish the probability density function of failure parameters and emploied Monte Carlo simulation for probability calculation. Experimental results show high agreement between simulation data and test data. The established statistical model may effectively and accurately calculate the failure probability of wet friction components.

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    Research on Stochastic Nonlinear Optimal Control of Maglev Trains
    Weiwei LIU, Kuo LI, Hongji WANG, Xi YU
    China Mechanical Engineering    2025, 36 (11): 2583-2592.   DOI: 10.3969/j.issn.1004-132X.2025.11.013
    Abstract (599)   HTML (1)    PDF(pc) (1506KB)(305)       Save

    To improve the stability of the maglev systems, the stochastic differential equations for the controlled maglev systems were established based on Hamilton's theory, where the nonlinear characteristics of the aerodynamic lift and levitation forces were taken into account. The dynamic planning equations for an optimal control strategy were developed with the objectives of maximizing the reliability, extending the longest average first-passage time, and minimizing the maximum Lyapunov exponent. The results show that the conditional reliability of the maglev systems may be improved and the average first-passage time prolonged by considering the joint action of PD control and optimal control. Moreover, the maximum Lyapunov exponent is always negative, satisfying the conditions for the trivial solution of the maglev systems to be asymptotically stable with a probability of 1. After optimal control, the joint probability density of the systems undergoes a change in behavior, which improves the system's stability. When the intensity of Gaussian white noise is low, the optimal control strategy for maximum reliability has better performance indicators. However, the strategy for minimum the maximum Lyapunov exponent only exhibits good performance within a certain range. The study of the optimal control problem of the maglev trains provides a theoretical basis for improving the train's stability and prolonging the time until the first-passage failure occurs.

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    A Full-position Welding Pool Identification and Deviation Measurement Method Based on DeepLab-EMCAD
    XIONG Yecheng, LIU Haisheng, WANG Zhongren, SHI Tielin, XIA Hai, YANG Hongbo
    China Mechanical Engineering    2025, 36 (12): 2993-3001.   DOI: 10.3969/j.issn.1004-132X.2025.12.023
    Abstract (579)   HTML (4)    PDF(pc) (5775KB)(280)       Save

    A method for full-position welding pool identification and deviation measurement was proposed based on DeepLab-EMCAD. A lightweight MobileNetV3 network was adopted as the backbone of the model encoder, and the atrous spatial pyramid pooling(ASPP) module was optimized to reduce the model parameters and improve the segmentation efficiency. The EMCAD multi-attention mechanism was integrated into the decoder to enhance the segmentation accuracy of the welding pools. A deviation calculation method was proposed to quantitatively describe the deviation based on the segmentation results of the welding pools. Experimental results show that compared with the baseline model, the proposed model improves the average intersection over union and average pixel accuracy in welding pool segmentations by 5.72% and 5.5% respectively, and the inference time is reduced by 29.69 ms, with the number of parameters decreasing by 4.854×107. Compared with classic segmentation networks, the proposed model has the best performance in handling the edges of the welding pools. The deviation detection errors are controlled within 0.1 mm.

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    Overview and Prospects of Data-driven Low-carbon Design and Manufacturing of Electromechanical Products
    WANG Liming, XIAO Xingyuan, LI Fangyi, WANG Xiaoguang, LI Jianfeng, NIE Yanyan, LIU Weitong, LI Liuyuan, WANG Yitong, WANG Boyun, CUI Yuqi
    China Mechanical Engineering    2026, 37 (4): 764-779.   DOI: 10.3969/j.issn.1004-132X.2026.04.001
    Abstract (1791)   HTML (22)    PDF(pc) (3560KB)(271)       Save

    Carbon footprint data served as the core basis for quantifying the full life-cycle carbon emissions of electromechanical products and driving the low-carbon transformation of the manufacturing industries. Focusing on the whole processes of carbon footprint data from acquisition to application, the relevant research approaches were systematically reviewed. The acquisition technologies for multi-source heterogeneous carbon footprint data and the data quality evaluation system were organized, addressing the question of "how data comes". Focusing on “how to use”, applications of data-driven technologies in low-carbon design and manufacturing were elaborated, including data-based carbon footprint correlation modeling, intelligent prediction, generation of low-carbon design solutions, and multi-objective decision-making methods, as well as data-driven manufacturing energy consumption prediction, low-carbon process planning, and intelligent workshop scheduling strategies. Finally, challenges and future directions for data integrity and system integration in low-carbon manufacturing were discussed, offering theoretical references for the green and low-carbon development of electromechanical products.

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    A Probabilistic Fatigue Life Prediction Method for Wind Turbine Towers Based on a Physics-informed Neural Network
    XIE Bingbing, ZHAO Feng, GUO Xinxing, QIAO Li, CHENG Sichuang, LIU Xiaohui, ZHANG Tongzhou, HU Weifei
    China Mechanical Engineering    2026, 37 (5): 1017-1025.   DOI: 10.3969/j.issn.1004-132X.2026.05.001
    Abstract (497)   HTML (41)    PDF(pc) (2177KB)(247)       Save

    To address the limitations that the traditional fatigue design for wind turbine towers using deterministic S-N curves might not accurately quantify fatigue life dispersion, a probabilistic fatigue life prediction method was proposed based on physics-informed neural networks. By embedding the physical prior knowledge such as fatigue life dispersion, monotonicity and nonlinearity into the neural networks, a probabilistic prediction model capable of accurately quantifying uncertainty was constructed. Compared with traditional methods, the proposed method reduces the normalized root mean square error(NRMSE) by up to 31.58%. A 16 MW wind turbine simulation model was established in accordance with IEC standards, and tower load data were obtained by using Bladed software. Combined with wind-speed distribution, rain flow counting and the Miner rule, the probabilistic fatigue life prediction of the towers was achieved. The results show that the proposed method effectively characterizes the probabilistic features of fatigue damages, and the tower lifetime varies significantly with reliability requirements (shortening from 83.3 years at 50% probability to 18.2 years at 99.9% probability), which provides a reliable basis for probabilistic fatigue design and safety assessment of wind turbine towers.

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    Prediction and Conditioning of Surface Integrity for Cutting Difficult-to-machine Metallic Materials
    LIU Zhanqiang, ZHAO Yongyao, WANG Bing, ZHAO Jinfu, LIU Annan, YAO Longxu
    China Mechanical Engineering    2026, 37 (3): 509-527.   DOI: 10.3969/j.issn.1004-132X.2026.03.001
    Abstract (594)   HTML (23)    PDF(pc) (3737KB)(220)       Save

    Machined surface integrity, a composite reflection of the geometric, physical, chemical, and mechanical properties of the machined surface layers, is dictated by the thermo-mechanics loads and material removal modes inherent to the cutting processes. This integrity directly governed the in-service performance and lifespan of engineered components. A thorough investigation into how conditioning strategies influenced surface integrity was therefore fundamental to realize high-integrity surfaces, and was critically important for optimizing the machining of difficult-to-cut metallic materials. This review began by categorizing the metrics of machined surface integrity for these materials based on three aspects: geometric features, microstructural evolution, and surface-layer mechanical properties, while also summarizing the approaches for developing predictive models. Subsequently, it elucidated research advancements in machined surface integrity conditioning strategies of difficult-to-cut metallic materials, critically comparing the distinct influence mechanisms of tool and process optimization, multi-energy field assisted machining, and workpiece pre-treatment on machined surface integrity. Finally, this paper explored the prediction accuracy of current models and the general applicability of conditioning strategies, offering an outlook on future research priorities.

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    China Mechanical Engineering    2025, 36 (12): 3065-.  
    Abstract (183)      PDF(pc) (669KB)(198)       Save
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    Efficient Aerodynamic Optimization Method for Turbine Blades Based on Multi-degree-of-freedom Parameterized Dimensionality Reduction
    HUANG Pengfei, CHEN Jiang, CHENG Jinxin, LI Bin, XIANG Hang
    China Mechanical Engineering    2026, 37 (2): 255-263.   DOI: 10.3969/j.issn.1004-132X.2026.02.001
    Abstract (453)   HTML (27)    PDF(pc) (14472KB)(197)       Save

    In view of the high design dimension and difficulty in constructing surrogate models in the aerodynamic optimization of three-dimensional turbine blades, a multi-degree-of-freedom parameterized dimensionality reduction method was proposed to construct an efficient optimization framework, that integrated DFFD and PCA, and combined the pre-screened surrogate model assisted differential evolution (Pre-SADE) algorithm. Taking a small gas turbine as the object, a snapshot set was generated through experimental design, and the 36-dimensional DFFD design space was mapped to the 10-dimensional basis modal coefficient space. A concise and effective surrogate model was established in the dimensionality reduction space and rapid optimization was completed. The results show that the proposed method significantly reduces the shock wave intensity and aerodynamic loss while improving the design point flow (+0.46%) and isentropic efficiency (+3.191%), and the optimization time is reduced by 24.58%. The study verifies the intuitiveness, effectiveness and optimization efficiency improvement advantages of this dimensionality reduction method in high-dimensional design problems, providing a more efficient and low-cost solution for blade aerodynamic optimization.

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    A Process Knowledge Generalization Based on Standardized Expression of Process Data
    Qiao ZHENG, Ruiqiang LYU, Bencheng CUI, Rui ZUO
    China Mechanical Engineering    2025, 36 (11): 2728-2737.   DOI: 10.3969/j.issn.1004-132X.2025.11.031
    Abstract (469)   HTML (1)    PDF(pc) (4783KB)(194)       Save

    In the aviation field, the reuse rate of process design knowledge for parts with long cycles and complex processes was low, and there was a lack of effective knowledge recommendation and inheritance. The current methods for process knowledge generalization mainly focused on using fuzzy knowledge and reasoning algorithms to overcome the dependence of process methods on the environment. These methods did not significantly help in addressing the incompleteness and inconsistency of formalized expressions. This paper was based on the standardized expression of process data, the knowledge graph construction and heuristic search for process recommendations were carried out, resulting in a higher knowledge reuse rate, which provided a way of thinking for the high-reusability, high-efficiency, and knowledge-driven process planning of parts with long cycles and complex processes.

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    Design and Applications of Disc Cutter Changing Robots for Shield Machines
    JIANG Lijie, YANG Hang, HAN Dong, SUN Yanming, WANG Yixin, WU Qiankun, JIA Lianhui
    China Mechanical Engineering    2026, 37 (5): 1037-1044.   DOI: 10.3969/j.issn.1004-132X.2026.05.003
    Abstract (353)   HTML (39)    PDF(pc) (29940KB)(182)       Save

    To address the problems of high labor intensity, high operational risk, and low operational efficiency in manual disc cutter changing during shield tunneling machine construction, a changing operation plan using robot instead of humans was proposed. A new type of tool system suitable for robot operation and a high-power density redundant degree of freedom robot mechanisms were designed.The D-H parameter method was used for kinematic modeling, the robot pose calculation was achieved. The rapidly-exploring random tree(RRT) algorithm was used for robot tool change path planning, the obstacle avoidance path calculation was achieved during the motion processes. Based on the B-spline curves, the robot joint motion trajectory calculation was achieved. A simulation analysis platform was built for robot tool changing, and the effectiveness of the proposed solution was verified. Finally, a tool changing robot test bench was built, and a tool changing robot control system was constructed based on the operation layer, control layer, and execution layer. The feasibility of the tool changing robot system design scheme was verified through parameter calibration, laboratory and engineering testing.

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    Adaptive Variable Impedance Constant Force Control of Robotic Grinding under Unknown Environments
    GUO Wanjin, TIAN Yuxiang, LI Qianhui, CAO Chuqing, ZHAO Lijun, XU Mingkun, LIU Xiaoheng, HOU Xudong
    China Mechanical Engineering    2026, 37 (1): 92-104.   DOI: 10.3969/j.issn.1004-132X.2026.01.011
    Abstract (520)   HTML (5)    PDF(pc) (25028KB)(178)       Save

    To solve the problems of insufficient adaptive adjustment ability of robotic constant force grinding due to the uncertainty of environmental parameters under unknown environments, a robotic adaptive variable impedance constant force control method with real-time estimation of unknown environmental parameters was proposed. In the proposed method, the adaptive sliding mode control was used as the inner loop control, and the environmental parameter estimation and adaptive variable impedance control were used as the outer loop control. The robotic platform experimentsal results show that the proposed method may realize the tracking of the expected grinding forces, and has high adaptability to the robotic grinding operations under unknown environmental conditions.

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    Research on Load Spectrum Editing Based on Optimal Pseudo Wigner-Ville Distribution Method
    Lingyun YAO, Zhishun YANG, Li LI, Yongjie LIN
    China Mechanical Engineering    2025, 36 (11): 2501-2508.   DOI: 10.3969/j.issn.1004-132X.2025.11.004
    Abstract (438)   HTML (1)    PDF(pc) (2654KB)(176)       Save

    To improve the quality of load spectrum editing, this paper utilized the PWVD method to edit the load spectrums. According to the principle of the minimum clustering metric parameter, the optimal PWVD matrix for the load spectrum was determined, and the instantaneous energy distributions of the load spectrums were calculated, which was used to delete small damage loads and generate a compressed load spectrum. The results show that the edited load spectrum based on the optimal PWVD method is consistent with the original load spectrum calculation results in terms of statistical parameters, power spectral density, rain flow count and fatigue simulation. The compressions of the load spectrum(Y⁃direction) edited by PWVD, Wigner-Ville distribution(WVD), S transform and short time Fourier transform are as 28.21%, 15.02%, 19.15% and 15.79%, respectively. The predicted life of the edited load spectrum is the same as that of the original load. Therefore, the method of utilizing the optimal PWVD to edit the load spectrum has the potential for applications in accelerating the fatigue durability analysis of vehicle components.

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    Design and Experimental Study of Stiffness Self-tuning Wideband Dynamic Vibration Absorbers
    Zhi WANG, Shanfu LI, Jing TIAN, Mengkang YUE
    China Mechanical Engineering    2025, 36 (11): 2593-2600.   DOI: 10.3969/j.issn.1004-132X.2025.11.014
    Abstract (529)   HTML (2)    PDF(pc) (4520KB)(171)       Save

    To address the issues of traditional dynamic absorbers losing resonance and exhibiting a significant decline in vibration reduction performance when the external excitation frequency shifted, a novel wideband dynamic vibration absorber was designed that altered the stiffness to change the natural frequency, and to broaden the vibration absorption bandwidth. The vibration absorption and frequency adjustment mechanism of the absorbers were theoretically analyzed, followed by PID parameter optimization by using an ISSA, finally, an ISSA-PID controller was employed to adjust the structural parameters of the absorbers, achieving adaptive wideband vibration absorption. Simulation results indicate that the ISSA optimization requires fewer iterations and demonstrates greater optimization capability compared to the sparrow search algorithm(SSA) optimization. The control scheme optimized by ISSA reduces the overshoot by 44.8% compared to that of the pre-optimization condition and reduces by 33.3% compared to that of the SSA-optimized scheme. In addition, the settling time of the control scheme optimized by ISSA is reduced by 16.2% compared to that of the SSA-optimized scheme. The testing results indicate that the wideband dynamic vibration absorber has a wide vibration absorption bandwidth and significant vibration reduction effectiveness, demonstrating substantial engineering application value.

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    Experimental Study of Characteristics of Gas Pressure Reducing Valves under Different Working Conditions
    Bin QIN, Jiaxu HAO, Jingwen LIN, Quan ZHANG
    China Mechanical Engineering    2025, 36 (11): 2477-2485.   DOI: 10.3969/j.issn.1004-132X.2025.11.001
    Abstract (537)   HTML (11)    PDF(pc) (1718KB)(170)       Save

    Pressure reducing valves were often used in gas pipeline systems to control the downstream pressure. At present, the pressure reduction range of conventional small pressure reducing valves was small, and it was difficult to meet the pressure reduction demands under ultra-high pressure. A small pressure reducing valve with adjustable output pressure under ultra-high pressure was proposed, with an input pressure of 19~60 MPa and an output pressure of 7~13 MPa. By establishing a test platform and setting different upstream pressure and downstream resistance of the pressure reducing valves, the stability of the performance of the pressure reducing valves and the characteristic change were studied under four types of working conditions. Through experimental validation, the pressure reducing valve may maintain stable downstream pressure in ultra-high pressure usage scenarios. The response time of the valves after the pipeline connection is between 0.5 and 6.0 seconds, with pressure fluctuations within 10 seconds after response being between 0.12% and 4.49%. The results indicate that the trend of pressure changes after the reducing valves are related to the upstream pressure: when the upstream pressure decreases, the output pressure first declines and then rises, while when the upstream pressure is stable, the output pressure tends to decrease. The results may guide the applications of the pressure reducing valves in hydraulic systems.

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    Tool Wear Monitoring Based on IWOA-IECA-BiLSTM Model
    BAO Zhenke, CAO Huajun, QIN Fengze, CHEN Zhixiang, TAO Guibao
    China Mechanical Engineering    2025, 36 (12): 2936-2943.   DOI: 10.3969/j.issn.1004-132X.2025.12.016
    Abstract (1243)   HTML (1)    PDF(pc) (2374KB)(167)       Save

    To improve the monitoring accuracy of tool wear during machining, a BiLSTM model based on IWOA and IECA mechanism was proposed. Tool wear data segments from the PHM2010 dataset were intercepted, and multi-domain features were extracted. Tool wear strongly correlated features were then obtained by screening with the Pearson correlation coefficient. The input features were used to train the model. The BiLSTM module in the model effectively captured temporal features within the data. The IECA attention mechanism module enhances the feature representational capability. The IWOA module optimized the model's hyperparameters, further improving the model accuracy. The model performance was finally tested based on three-fold cross-validation and compared with several other models. The results demonstrate that the IWOA-IECA-BiLSTM tool wear monitoring model achieves the best performance on most test sets. On test sets C1,C4 and C6, the root mean square error (RMSE) values are as low as 6.5, 12.46, and 9.28, respectively.

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    Frontiers of Direct Energy Deposition: Process Innovation and Intelligent Regulation
    YI Hao, ZHANG Haoquan, CAO Huajun
    China Mechanical Engineering    2026, 37 (6): 1272-1280.   DOI: 10.3969/j.issn.1004-132X.2026.06.001
    Abstract (1931)   HTML (20)    PDF(pc) (3684KB)(166)       Save

    A systematic review of the latest research advances in DED technology was provided, focusing on four key developmental directions: multi-heat source hybridization, material supply innovation, energy field regulation, and AI-driven processes. Regarding multi-heat source hybridization, combined processes, such as laser-arc hybridization, the complementary mechanism between different heat sources were leveraged, effectively balancing processing efficiency and forming accuracy. Regarding material supply innovation, novel feeding approaches, including twisted wire, multi-wire, and wire-powder synergistic feeding, had significantly expanded the capability to fabricate functional gradient materials and multi-principal element alloys. It laid the material foundation for enhancing the performance of components overall. Regarding energy field regulation, several methods such as pulse modulation, path planning, and multi-physical field coupling achieved precise control over molten pool dynamics and microstructural evolution. Regarding AI driving, the integration of machine learning and other data-driven techniques expedited the intelligent evolution of DED technology in areas such as processing parameter optimization, intelligent defect diagnosis, and digital twin system development.

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    Numerical Simulation and Experimental Verification of Flow Pulsation and Outlet Pressure of Roller Piston Pump
    ZHANG Chenchen, RUAN Jian, LI Sheng
    China Mechanical Engineering    2026, 37 (2): 304-314.   DOI: 10.3969/j.issn.1004-132X.2026.02.006
    Abstract (322)   HTML (31)    PDF(pc) (27751KB)(161)       Save

    In order to study the flow pulsation and outlet pressure characteristics of the roller piston pump, a CFD numerical simulation model was established based on the motion law and structure of the pump, and its internal flow field and pressure field were analyzed in detail through CFD numerical simulation. The results show that the pressure and flow changes inside the plunger working chamber indicate that there is no structural flow pulsation in the pump, but when the suction and discharge chambers and the distribution window were switched, flow backflow occurs due to the pressure difference. Theoretical analysis show that under the conditions of 3000 r/min and 5 MPa, the flow pulsation and pressure pulsation are as 23.4% and 9.8% respectively. Finally, the outlet pressure of the roller piston pump was tested by building a special test bench for outlet pressure testing. Experimental data show that the pressure pulsation value of the pump under this working condition is as 11.25%, and the CFD simulation result is as 9.8%. The experimental results were consistent with the CFD numerical simulation results, which verified the accuracy of the CFD numerical simulation and provided guidance for the subsequent reduction of pulsation.

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    Design and Kinematics Modeling of Extensible Snake-like Manipulators
    WANG Xuhao, SHENG Wolong, WU Mengli, XU Yilong, ZHAO Xiaowei, CAO Yiran
    China Mechanical Engineering    2025, 36 (12): 2885-2893.   DOI: 10.3969/j.issn.1004-132X.2025.12.010
    Abstract (886)   HTML (9)    PDF(pc) (15676KB)(155)       Save

    A novel snake-like manipulator was proposed, the modular joints of the manipulator were designed with an active extensible degree of freedom, which increased the overall motion flexibility and adaptability in complex spaces. Kinematics modeling of the snake-like manipulators was carried out. The mappings among actuator space, joint space and end task space were analyzed. Considering the characteristics of the extensible joints, two novel joint-end inverse kinematics algorithms were proposed, i.e. the integrated method by combing the conventional FABRIK algorithm with Jacobian-based iterative algorithm, and the modified FABRIK algorithm with iteratively updated link lengths. Numerical simulations were conducted to verify computational accuracy and efficiency. The results show that both methods have better accuracy, while the modified FABRIK algorithm has higher computational efficiency. Finally, a prototype was constructed, and experiments were carried out to validate motion capabilities of the proposed snake-like manipulators.

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    Eco-design for Additive Manufacturing: Knowledge-driven Framework and Applications
    WANG Yanan, PENG Tao, XIONG Yi, WANG Liming, TANG Yunlong, TANG Renzhong
    China Mechanical Engineering    2026, 37 (4): 780-791.   DOI: 10.3969/j.issn.1004-132X.2026.04.002
    Abstract (1327)   HTML (18)    PDF(pc) (14372KB)(154)       Save

    To support designers in developing environmentally sustainable components fabricated by additive manufacturing, the concept of eco-design for additive manufacturing(EcoDfAM) was clarified, and a body of knowledge required in EcoDfAM was constructed. A knowledge-driven EcoDfAM framework was proposed based on knowledge by integrating multiple intelligent technologies. This framework consisted of three layers: knowledge source layer, knowledge model layer, design application layer. Taking the valve body parts of a hydraulic system in the aircraft wing that were printed using the metal powder bed fusion technology as an example, the application analysis and discussion of the proposed framework were carried out. The results show that the framework integrating ontology, machine learning, knowledge graph may effectively integrate the complex multi-domain professional knowledge required by EcoDfAM, and generate eco-design recommendations through flexible reuse of knowledge. This study may be used to develop intelligent design advisor systems, providing appropriate knowledge feedback in different design stages to guide designers, effectively improving the efficiency and quality during the eco-design processes of parts fabricated by additive manufacturing.

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    Analysis of Compressive Stiffness Characteristics of Tubular Support Structures with Negative Poisson's Ratio
    SU Yilin, JI Xiaogang, XIN Jiaming, NIU Guofa
    China Mechanical Engineering    2026, 37 (3): 538-545.   DOI: 10.3969/j.issn.1004-132X.2026.03.003
    Abstract (439)   HTML (9)    PDF(pc) (2582KB)(153)       Save

    Negative Poisson ratio structures were widely used in engineering because of their unique structural properties, high energy absorption and good deformation adaptability. The performance optimization of tubular supports was studied with negative Poisson ratio structure in engineering applications. Combining structural design and mechanics analyses, the compressive performance of tubular supports was systematically investigated. Based on the unique inward shrinkage deformation characteristics of negative Poisson's ratio structures, four new tubular stent structures were designed and prepared. By analyzing the stress distribution and load displacement curve through physical compression test and numerical simulation, a multi-dimensional evaluation system was constructed including peak load, energy absorption and compression stiffness. The results show that the stabilitys of FB-H structure is the best under continuous radial pressure, and the compressive strength of FB-X structure and FB-S structure are increased by 42% and 123%, respectively. Different structures show differences under axial loads. The FB-X and FB-S brackets have high rigidity and are suitable for scenarios requiring support stability. The FB-N and FB-H brackets are flexible and suitable for large deformation scenes.

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    Model-driven Early Functional Design and Verification of Small and Modular Natural Circulation Lead-based Fast Reactors
    WU Xuanyu, FENG Yixiong, CHEN Zhao, YUAN Weiquan, DUAN Chengjie, HONG Longzhuang, ZHANG Zhifeng, TAN Jianrong
    China Mechanical Engineering    2026, 37 (5): 1063-1071.   DOI: 10.3969/j.issn.1004-132X.2026.05.006
    Abstract (269)   HTML (40)    PDF(pc) (7131KB)(151)       Save

    The traditional document-based nuclear power equipment development pattern had problems such as discrete and poorly correlated design information, ambiguous design intentions that were difficult to trace, and a lack of intuitiveness and immersion in the design argumentation processes. Taking the small and modular natural circulation lead-based fast reactor(NCLFR) as the research object and taking the assembly and disassembly processes as an example, the MBSE method was combined with the virtual prototype technology, and three aspects of requirement analysis, functional design, and functional verification were discussed. Based on the independently developed MBSE modeling platform M-Reactor in the China Nuclear Power Technology Research Institute Co., Ltd., the requirement analysis and functional design of the assembly and disassembly processes were carried out. On the basis of the early 3D modeling of the NCLFR, the consistent mapping and model linkage between the system logic model and the functional virtual prototype were achieved, verifying the completeness, correctness, and traceability of the assembly and disassembly processes, providing designers with a more immersive design experience and a visual design verification method. In this way, the results may provide a reference for the applications of the MBSE method in the systematic design of nuclear power equipment.

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    Decoupled Modeling and Correction for Fork-Ear Type Aircraft Wing-Fuselage Docking Assembly Deviations Based on Distributed Binocular Vision and Priority Constraint
    TIAN Xingyuan, ZHU Yongguo, CUI Wei, HE Minyin, CHENG Cheng, ZHANG Yitao
    China Mechanical Engineering    2026, 37 (3): 528-537.   DOI: 10.3969/j.issn.1004-132X.2026.03.002
    Abstract (411)   HTML (20)    PDF(pc) (4587KB)(149)       Save

    Aiming at the problems that the optical path measured by laser trackers was prone to occlusion and the coupling relationship existing in docking assembly accuracy during aircraft wing-fuselage docking assembly, the wing-fuselage docking assembly of fork-ear aircrafts was used as research object, and a method was proposed for decoupled modeling and correction for fork-ear type aircraft wing-fuselage docking assembly deviations based on distributed binocular vision and assembly accuracy priority constraint. A deviation detection and correction system was constructed for the wing-fuselage docking assembly of fork-ear aircrafts, integrating distributed binocular cameras, laser trackers, and numerical control positioners. Based on the importance and process characteristics of wing-fuselage docking assembly accuracy, a comprehensive expression was established for the wing-fuselage docking assembly deviations of fork-ear aircrafts, and a correction method was proposed for such assembly deviations, which was based on the priority constraint of assembly accuracy. The coupled accuracy requirements were decoupled into a phased discrete optimization problem for aircraft wing-fuselage docking assembly. The relative attitude deviation of the aircraft wing-fuselage was quantified using Lie algebra parameterization. The clearance correction and coaxiality correction amounts were calculated respectively via the fork-ear fit clearance model and the fork-ear hole coaxiality model, enabling the step-by-step correction of deviations in aircraft wing-fuselage docking assembly. Experimental results show that compared with the unconstrained model assembly method and the traditional geometric reference-based multi-constraint model deviation correction method, the wing-fuselage relative attitude deviation, fork-ear hole coaxiality, and fork-ear fit clearance are all improved.

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    Study on Crack Propagation of Freight Train Wheel Treads under Ramp Emergency Braking Conditions
    ZHAO Jie, LU Chun, HE Jiahuan, MA Tinghai, YE Zhang
    China Mechanical Engineering    2025, 36 (12): 2811-2819.   DOI: 10.3969/j.issn.1004-132X.2025.12.001
    Abstract (699)   HTML (9)    PDF(pc) (3749KB)(148)       Save

    The fatigue crack propagation of freight train wheel treads under ramp emergency braking conditions was studied based on the extended finite element method, taking into account the frictional heat generation, conduction heat dissipation, and the variation of material parameters with temperature. By analyzing the temperature fields and stress fields during the rolling contact processes under ramp emergency braking conditions, the results indicate that the existence of tread cracks affects the wheel-rail contact stress distribution, the high contact stress regions are divided into two sub-regions by the tread cracks, and stress concentration occurs at the crack front, and the tread crack propagation behavior is closely related to the relative positions of cracks and contact regions. During the braking processes, the circumferential compressive stress generated by high temperature will inhibit the tread crack growth, but the residual tensile stress after cooling will promote the tread crack propagation. During the stages of tread temperature rising, the tread crack propagation mode is a mixed Ⅱ-Ⅲ multiaxial propagation mode, dominated by mode Ⅱ propagation. During the stages of cooling, the tread crack propagation mode is mixed Ⅰ-Ⅱ-Ⅲ multiaxial propagation mode, dominated by mode Ⅰ and mode Ⅱ.

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    Research Progresses on Reliability Design of Remanufactured Electromechanical Products with Multi-life Characteristics across Whole Working Ranges
    YANG Jie, JIANG Zhigang, ZHU Shuo, CHEN Xin, ZHANG Hua
    China Mechanical Engineering    2026, 37 (4): 987-998.   DOI: 10.3969/j.issn.1004-132X.2026.04.023
    Abstract (1106)   HTML (7)    PDF(pc) (3842KB)(148)       Save

    The low reliability of remanufactured electromechanical products stemmed from multiple factors: complex and variable operational scenarios leading to performance disparities across working ranges, the imbalance in multi-attribute life(physical, technical, and economic) of various substance-field units within the products, and the non-uniform evolution of reliability across different attribute life under varying working ranges. These factors collectively posed significant challenges to enhancing product reliability. In response, research on whole working range reliability design was emerged. By exploring the design connotations, a framework for whole working range reliability design under multiple life characteristics was advanced. Building upon this framework, representative studies, ranging from the generation to the optimization of reliability design schemes, were reviewed. These included the evolution of whole working range reliability based on life characteristics, reliability design and multi-objective reliability optimization for remanufactured products. Furthermore, current research challenges were discussed. Finally, key research focuses were summarized, and future directions for reliability design were proposed.

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    Design of Wheel-mounted Phased Array TFM Imaging and Inspection System for Storage Tank Bottom Plates
    LI Jian, ZHANG Kai, WANG Haibin, WANG Zhe, CHENG Jingwei, YAN Chang
    China Mechanical Engineering    2025, 36 (12): 3057-3063.   DOI: 10.3969/j.issn.1004-132X.2025.12.031
    Abstract (510)   HTML (4)    PDF(pc) (5162KB)(146)       Save

    To address the issues of high cost, low detection efficiency, and inconsistent quality in routine maintenance operations such as inspection of atmospheric storage tank bottom plates, an ultrasonic phased array inspection system was developed for tank bottom plates. A mechanical scanner was employed to facilitate online, efficient detection of localized corrosion damage, providing technical support for ensuring the long-term safe operation of storage tanks. A wheeled phased array TFM imaging algorithm was proposed, and the inspection accuracy and image quality were enhanced. Experimental results show that, in inspecting a 12 mm carbon steel bottom plate, the system may stably detect artificial flaws on the bottom surface with a depth of 20% of the plate thickness, as specified by the JB/T 10765—2023 standard. The detection sensitivity reaches 5 mm(length) × 0.5 mm(depth) for surface-breaking cracks in welds. And the signal-to-noise ratio of defect images is improved by 10.4 dB compared to conventional methods.

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    Dynamic Evolution Correlation Quantitative Analysis Method of Complex Product Design Specification Decomposition
    ZHANG Haizhu, CHEN Xiang, GU Sunquan, LI Rong, ZHU Xuechao, MA Kai
    China Mechanical Engineering    2026, 37 (5): 1026-1036.   DOI: 10.3969/j.issn.1004-132X.2026.05.002
    Abstract (293)   HTML (38)    PDF(pc) (1764KB)(145)       Save

    Aiming at the problems that the complex interaction relationship in the evolution processes of the complex product design specification often caused the module design parameters to be overestimated or underestimated, which led to repeated iteration of design, a method was proposed for quantitatively analyzing the interaction relationship in the dynamic evolution processes of the design specifications. Firstly, based on the design structure matrix, combined with regression analysis and grey entropy correlation degree calculation method, the calculation model of design specification coupling correlation strength was constructed, and the multiple coupling relationship of design specification decomposition was quantitatively analyzed. Then, the theory of community ecology was introduced, and based on Lotka-Volterra model, a quantitative analysis method of dynamic evolution correlation of design specification decomposition was proposed to characterize the interaction relationship in the processes of design specification decomposition. By further integrating the quantitative analysis results of coupling correlation and evolution correlation of design specification decomposition, the quantitative analysis of dynamic evolution correlation relationship of complex product design specification decomposition was realized. Finally, taking the axle load and braking capacity specification decomposition of a high-speed train bogie as an example, the feasibility and effectiveness of the method were verified.

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    Kinematic Modeling of a Novel Rigid⁃Flexible Hybrid Continuum Robots
    Jiaxiang DONG, Quanquan LIU, Xiping HU, Xuezhi ZHAO
    China Mechanical Engineering    2025, 36 (11): 2678-2684.   DOI: 10.3969/j.issn.1004-132X.2025.11.025
    Abstract (658)   HTML (3)    PDF(pc) (2848KB)(144)       Save

    A study of the kinemetic modeling was carried out for a novel rigid-flexible hybrid continuum robot driven by tension-torsion synergistic actuation. A kinetostatic model was developed based on the piecewise constant curvature(PCC) framework, which comprehensively considered various loads. To solve the highly nonlinear inverse kinematics, a BP neural network model optimized by the Newton-Raphson based optimizer(NRBO), denoted as NRBO-BP model, was constructed. Experimental results show that the average bending angle errors at the end of the single/dual-segment flexible robots are as 4.2° and 7.1°, respectively. The maximum position error in trajectory tracking based on NRBO-BP model is as 2.5 mm, which verifies the accuracy and effectiveness of the proposed methods.

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    Nonlinear Dynamics of Continuously Tunable Planetary Gear Metamaterial
    Shuai MO, Xuan HUANG, Wenbin LIU, Wei ZHANG
    China Mechanical Engineering    2025, 36 (11): 2509-2516.   DOI: 10.3969/j.issn.1004-132X.2025.11.005
    Abstract (569)   HTML (7)    PDF(pc) (12618KB)(141)       Save

    A continuous steady-state metamaterial with tunable mechanics was designed based on planetary gears. The excellent tunable mechanics properties of metamaterials were studied, which showed the designed metamaterials had a wide range of programmable stiffness and a significantly tunning band gap. The configuration relationship between tunability and structural parameters was analyzed. Then, a rigid-flexible coupling nonlinear dynamics model of planetary gear metamaterials was established and the dynamics characteristics of planetary gear metamaterials were explored by numerical simulation in the processes of dynamic tunning. Moreover, the influences of the system dynamic parameters on the bifurcation characteristics and stability were explored under coupling excitations, and the distribution characteristics of the system vibration response with the coupling parameter plane were disclosed. Finally, an improved non-iterative cell mapping method was used to analyze the dependence of the vibration response of the system on the initial conditions. The results show that the planetary gear metamaterials have a wide range of stiffness tunability and significantly variable band gap interval. Under the influences of internal and external excitations, the system exhibits various dynamics characteristics. The dynamics characteristics of flexible construction are mainly affected by structural parameters, and the dynamics characteristics of rigid construction are affected by multiple sets of coupling parameters and initial conditions.

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    Research on Vibration and Lubrication Characteristics of Piston Pumps with Coupled Slipper Pair and Valve Plate Pair Interactions
    LAI Rongshen, ZHU Xiaoteng, QUAN Yunqing, MIAO Kefei, YE Shaogan, BAO Yue, LIU Huixiang, ZHAO Shoujun
    China Mechanical Engineering    2026, 37 (2): 275-284.   DOI: 10.3969/j.issn.1004-132X.2026.02.003
    Abstract (400)   HTML (31)    PDF(pc) (6578KB)(140)       Save

    This paper investigated the vibration-oil film coupling mechanism in axial piston pumps through an integrated dynamics model combining pump component dynamics with slipper/swashplate and valve plate/cylinder block lubrication models. The model was solved using a combined explicit-implicit approach with control volume method. Experimental validation confirmed the model effectiveness in predicting vibration characteristics. The results indicate that calculated results of coupled model show strong agreement with experimental data; in terms of oil film characteristics, increases of rotational speed lead to greater central oil film thickness, while pressure elevation results in reduces of oil film thickness at the center of high-pressure regions. The oil film pressure distribution exhibits periodic variation in sync with the plunger chamber pressure. Leakage increases markedly with both increases of pressure and speed, especially in high-pressure regions. The coupled model demonstrates superior predictive accuracy compared to conventional decoupled approaches. The research provides important theoretical support for the design of axial piston pumps.

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    Interpretable Modeling and Optimization of Laser Hardening Process Parameters for QT550-5
    LIANG Qiang, CHEN Hong, ZHENG Yinpeng, WANG Bing, DU Yanbin, LONG Shuai
    China Mechanical Engineering    2026, 37 (4): 900-912.   DOI: 10.3969/j.issn.1004-132X.2026.04.014
    Abstract (1087)   HTML (16)    PDF(pc) (7418KB)(140)       Save

    Aimed to achieve laser surface hardening and optimize processing parameters for nodular cast iron QT550-5, a finite element model coupling the temperature and phase transformation fields was developed herein. Using laser power, scanning speed, and overlap rate as experimental variables, and targeting the hardened layer depth and molten layer depth as optimization objectives, Latin hypercube sampling was first employed for the experimental design. A Bayesian-optimized multi-task neural network prediction model was constructed based on the experimental data. SHAP were introduced for interpretability analysis to clarify the contribution mechanism of various parameters to the hardening results. Subsequently, the multi-objective hippopotamus optimization algorithm was used for parameter optimization. A comprehensive evaluation system integrating the entropy weight method and the technique for order preference by similarity to ideal solution was established to rank the non-dominated solution set and determine the optimal parameter combination. Experimental validation under the optimal parameters confirmes the significant surface hardening effectiveness in QT550-5.

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    Experimental Study of Propulsion Characteristics of Marine Methanol⁃Diesel Dual⁃fuel Engines
    Enzhe SONG, Zongwei GUO, Tian YANG, Lili LU, Chong YAO, Qiangzhi XIN, Baofu JIA
    China Mechanical Engineering    2025, 36 (11): 2766-2773.   DOI: 10.3969/j.issn.1004-132X.2025.11.035
    Abstract (520)   HTML (2)    PDF(pc) (1697KB)(139)       Save

    In order to investigate the characteristics of marine methanol powers and provide calibration data for modeling simulation studies, a marine methanol-diesel dual fuel engine was subjected to propulsion characteristics tests. The economy, combustion performance and emission performance of the engines were compared under pure diesel mode and dual fuel mode. The results show that the addition of methanol has a small effect on the equivalent fuel consumption of the engines, but it may reduce the unit power cost by 18.22% at most under the same operating conditions; the addition of methanol leads to the shortening of the combustion duration and the reduction of the average effective pressure at each operating point; the CO and HC emissions of the engines under the dual-fuel mode are higher than those of under the diesel mode, and the NO x emissions under dual-fuel mode are slightly higher than those of the diesel mode only at high loads.

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    A Review of Thermal Characteristics for Planetary Roller Screw Mechanisms
    QIAO Guan, CHEN Jiaqi, TANG Shufeng, LIU Guoqiang, LIU Geng
    China Mechanical Engineering    2026, 37 (1): 162-173.   DOI: 10.3969/j.issn.1004-132X.2026.01.017
    Abstract (481)   HTML (4)    PDF(pc) (4512KB)(137)       Save

    In a long period of high-speed and heavy-load conditions, the planetary roller screw mechanisms accumulated much heat. Thus, the rise of internal temperature of the system, and thermal deformations led to the lubrication performance degeneration, even the failure of the mechanisms. According to the structural characteristics of the planetary roller screw mechanisms, the mechanism of its thermal characteristics was revealed. And, the progresses of thermal characteristics research were analyzed and summarized from the aspects of heat source, thermal characteristics analysis methods, temperature rise and thermo-mechanics coupling, thermal deformatios, thermal errors and the structural. Then, the research trends in thermal characteristics of the planetary roller screw mechanisms were discussed and predicted.

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    Robotic Grinding Path Generation Method Guided by CAD for Automobile Wheel Hubs
    Quanyin YANG, Yuning ZHANG, Tong XIAO, Jinlong LIANG, Jintao WANG, Jinting XU
    China Mechanical Engineering    2025, 36 (11): 2704-2709.   DOI: 10.3969/j.issn.1004-132X.2025.11.028
    Abstract (616)   HTML (2)    PDF(pc) (5468KB)(136)       Save

    An adaptive generation method of robotic grinding paths guided by CAD drawings was proposed to remove burrs on wheel hub hole side edges smoothly, addressing inconsistent raw materials, missing 3D models, and only 2D CAD drawings. First, theoretical grinding paths were quickly extracted based on point correspondences between CAD main and sectional views, and actual 2D hole contours were acquired using a 2D industrial camera. A registration model between the theoretical paths and actual contours was established, and a neighborhood-based weighted averaging method was used to restore depth information of the actual contours, generating adaptive grinding paths. Then, B-spline curve fitting was applied to smooth path points, and a spherical quadrilateral interpolation model was used to optimize tool orientations, ensuring continuous and smooth grinding in high-curvature or challenging regions. Experimental results show that the generated paths are continuous, smooth, and tool orientations remain stable. Compared with theoretical paths, path accuracy is improved by over 90%, and the average production cycle is as 88 s, meeting industrial requirements.

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    Study on Topology Design and Crashworthiness of Novel Anti-impact Units for Hydraulic Supports
    ZENG Qingliang, LI Zhaoji, QI Guoqing, LIU Peng, WAN Lirong
    China Mechanical Engineering    2026, 37 (5): 1054-1062.   DOI: 10.3969/j.issn.1004-132X.2026.05.005
    Abstract (212)   HTML (36)    PDF(pc) (5956KB)(135)       Save

    In order to improve the anti-impact of hydraulic supports, based on the characteristics of non-dimensional parameters governing the crashworthiness of thin-walled structures proposed by authors, a new type of anti-impact unit, namely the window multi-celled structures(WMCS), was designed by adopting bi-tubular and mixed multi-celled structures. The crashworthiness of anti-impact units with different cross-sectional shapes was systematically investigated by using a combination of experimental tests, simulation analysis and theoretical prediction. The results show that the inner and outer contours of the bi-tubular structures and the number of cells affect the deformation modes of the anti-impact units. As the increase of wall thickness, the energy absorption and initial peak crushing forces of the anti-impact units increase, among which the initial peak crushing forces are highly sensitive. Differently, the specific energy absorption and crushing forces efficiency increase first and then decrease. According to the optimal intersection among deformation modes, force-displacement curves and crashworthiness, the WMCS-C1 with a wall thickness of 5 mm was selected as the anti-impact unit.

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    Design of Continuum Robots and Compensation Strategies for Losses of Guide Paths
    YANG Mingxing, SHEN Jiale, GAO Peng, ZHANG Xing, WANG Junxiang
    China Mechanical Engineering    2025, 36 (12): 2820-2828.   DOI: 10.3969/j.issn.1004-132X.2025.12.002
    Abstract (607)   HTML (5)    PDF(pc) (3887KB)(131)       Save

    A novel cable-driven continuum robot and the driving error compensation strategy for guiding paths were proposed to address the problems of low kinematics modeling accuracy and insufficient axial stiffness in current continuum robots. A flexible continuous cutting body with flexible support and a flexible arm structure with enhanced axial stiffness were designed. Subsequently, a kinematics model of the robots was established and the workspace at the end of the flexible arm was obtained. The accuracy of the kinematics modeling was confirmed through bending simulation. Analyzing the causes of bending errors, deriving the transmission losses of the casing and the tension transmission model before and after the rope passes through the disc hole, and then a compensation strategy was proposed for driving loss compensation and kinematics model parameter correction. The bending experiments of continuum robots at different angles show that the maximum bending angle error after compensation is as 4.11°, the maximum position error is as 6.11 mm, and the maximum error reduces 48.0%. The experiments verify the effectiveness of the proposed robots and drive error compensation control strategy.

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