Study on Angular Stiffness of a Laminated Membrane Coupling

Abstract

Abstract:

In order to explore the compensation capacity of angular misalignment for a system process of installation or operation, a new method for calculating the angular stiffness was developed according to the deformation principle of the flexible components. The calculation formulas for the angular stiffness of the laminated membrane coupling with joint bearing and the laminated membrane coupling without joint bearing were built based on the positions of the maximum deformation and the minimum deformation respectively, and the reasons why they were difference were analyzed. The numerical example concludes that the calculation formulas are validity and practicability. The results show that the compensation capacity of the laminated membrane coupling with joint bearing is greater than the laminated membrane coupling without joint bearing.

Key words: laminated membrane coupling, joint laminated membrane coupling, angular misalignment, compensation, rigidity calculation

摘要：

为了研究叠片联轴器补偿系统在安装或运行过程中产生的角向不对中的能力，基于挠性元件的变形原理，给出了计算叠片联轴器角向刚度的新方法。通过分析关节叠片联轴器和普通叠片联轴器角向变形时的两个极限位置，应用数值解法推导出了两种联轴器的角度变形刚度计算公式，分析了两种联轴器在角向刚度方面存在差异的原因。通过算例证明了该公式的有效性和实用性，研究结果表明，关节叠片联轴器补偿角向不对中的能力远强于普通叠片联轴器。

关键词: 叠片联轴器, 关节联轴器, 角向不对中, 补偿, 刚度计算

CLC Number:

TH133.4

SHEN Tu-Liu-Fang-1, SUN Cheng-Long-2, GONG Zun-Guo-2. Study on Angular Stiffness of a Laminated Membrane Coupling[J]. China Mechanical Engineering, 2013, 24(14): 1897-1901.

申屠留芳1, 孙成龙2, 巩尊国2. 叠片联轴器角向刚度的研究[J]. 中国机械工程, 2013, 24(14): 1897-1901.

References

[1]申屠留芳 [1],张相炎 [2].关节轴承式叠片联轴器设计[J].机械科学与技术,2004,23(1):43-45.
[2]Shentu Liufang,Zhang Xiangyan.Design oftheJointBearingFlexibleLaminated MembraneCoupling[J]. Mechanical Science and Technology,2004,23(1):43-45.
[3]申屠留芳 [1],张相炎 [2].关节联轴器角不对中补偿能力的研究[J].淮海工学院学报,2004,13(1):11-14.
[4]ShentuLiufang,Zhang Xiangyan.A StudyontheCompensatoryCapacityforthe Angle- misalignmentoftheJointBearingFlexibleLaminatedMembraneCoupling[J].JournalofHuaihaiInstituteofTechnology (NaturalSciencesEdition),2004,13(1):11-14.
[5]申屠留芳,汤洪涛.轴不对中对叠片联轴器膜片应力的影响[J].机械强度,1999,21(2):112-114.
[6]ShentuLiufang,Tang Hongtao,WangChengxuan.TheInfluenceof MembraneStressintheFlexibleLaminated MembraneCouplingduetoShaft Misalignment[J].Journalof Mechanical Strength,1999,21(2):112-114.
[7]中屠留芳[1],张相炎[2].关节联轴器结构最优设计[J].中国机械工程,2003,14(19):1637-1639.
[8]ShentuLiufang,ZhangXiangyan.TheOptimalDesignofStructureofaJointFlexibleLaminated MembraneCoupling[J].ChinaMechanicalEngineering,2003,14(19):1637-1639.
[9]洪成文.膜片联轴器挠性元件刚度计算.热能动力工程,1986,(6):32-39.
[10]HongChengwen.RigidityCalculationofDiaphragmCouplingFlexibleElements[J].JournalofEngineeringforThermalEnergyandPower,1986(6):32-39.
[11]申屠留芳 [1],张相炎 [2].四孔关节联轴器叠片强度综合计算的研究方法[J].机械科学与技术,2005,24(4):494-497.
[12]ShentuLiufang,ZhangXiangyan.ResearchonSyntheticComputationoftheStrengthoftheFourholeJointFlexibleLaminatedMembraneCoupling[J].MechanicalScienceandTechnology,2005,24(4):494-497.
[13]范钦山.材料力学[M].2版.北京:高等教育出版社,2005.

[1]	YANG Mingxing, SHEN Jiale, GAO Peng, ZHANG Xing, WANG Junxiang. Design of Continuum Robots and Compensation Strategies for Losses of Guide Paths [J]. China Mechanical Engineering, 2025, 36(12): 2820-2828.
[2]	GUO Yuqin, YIN Hang, YANG Dongjie, LIU Chenxi, LI Fuzhu. A Design Method of Wide Blade Ultrasonic Sonotrodes for Both of End and Side Faces Working by Cooperating Frequency Offset Compensation with Stepwise Hierarchical Optimization [J]. China Mechanical Engineering, 2025, 36(12): 2903-2910.
[3]	Qiong WEI, Linyong BAI, Zichao CHEN, Daode ZHANG, Yi LI. Sliding Mode Control for Pneumatic Swing Angle Servo Systems Based on Disturbance Observation and Friction Compensation [J]. China Mechanical Engineering, 2025, 36(11): 2563-2573.
[4]	YUAN Jiabin, GUO Xipeng, LI Rong, YIN Shaohui. Ultra-precision Turning Alignment Error Compensation Technology in Multi-axis Simultaneous Operations [J]. China Mechanical Engineering, 2025, 36(07): 1397-1406.
[5]	LEI Xingmao1, DING Haigang1, 2, WANG Simin3, YANG Chengcheng1, PANG Zhizhen1. Precise Regulation of Differential Pressures at Port of Load-sensitive Multi-way Valves Based on ADRC Algorithm [J]. China Mechanical Engineering, 2025, 36(05): 954-962，973.
[6]	DUAN Bowei1, WANG Dongcheng1, 2, XU Yanghuan1, LIU Hongmin1. Multi-channel Flatness Parallel Prediction Method for Cold Rolled Strips [J]. China Mechanical Engineering, 2025, 36(03): 558-569.
[7]	GAO Wenbin1, 2, ZHAN Qingyuan1, 2. Research on Robot Parameter Calibration Based on Configuration Similarity Clustering [J]. China Mechanical Engineering, 2024, 35(07): 1168-1177，1187.
[8]	LIU Yi, YI Wangmin, YAO Jiantao, WANG Xingda, YU Peng, ZHAO Yongshen. Design and Research of Heavy-duty Posture-adjusting Assembly Robots in Narrow Space [J]. China Mechanical Engineering, 2024, 35(02): 324-336.
[9]	LI Mozhi, ZHU Wenfeng, WANG Shunchao. Roller Pose Compensation in Automotive Body Roll-hemming Forming Process with Adhesive for Dimensional Deviation [J]. China Mechanical Engineering, 2024, 35(02): 364-370.
[10]	CHEN Zhongyuan, CHEN Ke, LIU Hao, OUYANG Xiaoping, . Low-speed Dead Zone Adaptive Compensation Method for Drive Units of Supernumerary Robotic Limbs [J]. China Mechanical Engineering, 2024, 35(01): 56-66.
[11]	YE Bosheng, JIN Xiongcheng, LI Han, SHAO Baiyan, LI Xiaokun, LI Siao. Robot Error Compensation Algorithm by Pseudo Target Iterative Generation [J]. China Mechanical Engineering, 2024, 35(01): 136-143.
[12]	LI Guangbao, GAO Dong, LU Yong, PING Hao, ZHOU Yuanyuan. Adaptive Kalman Filtering and PSO-GA-BP Algorithm for Robot Error Compensation [J]. China Mechanical Engineering, 2023, 34(20): 2456-2465.
[13]	YANG Jisen, ZHOU Run, ZHANG Tianheng, LU Yu, WU Zhuo, ZHANG Di, ZHANG Jing. Research on Magnetic Field Compensated Double-layer Time-grating Angular Displacement Sensors under Structural Parameter Constraints [J]. China Mechanical Engineering, 2023, 34(19): 2296-2303，2312.
[14]	TWANG Wei, MA Qianlun, BAI Zhenhua, WANG Ziang. Mechanics Property Prediction of Cold Rolled High Strength Steel Coils Based on GBD#br# [J]. China Mechanical Engineering, 2023, 34(18): 2222-2229.
[15]	JIN Hongyan, WANG Lei, ZHAO Ximei. Adaptive Nonlinear Sliding Mode Contour Control of Two-axis Direct Drive Servo Feed Systems Based on Friction Compensation [J]. China Mechanical Engineering, 2023, 34(11): 1335-1342.