Kinematics and Dynamics Analysis of Ring Array Deployable Structures Based on SLE

Abstract

Abstract:

Firstly, by analysing the geometric parameter relationship of SLE, the relationship among the element size, element number and the radius of the ring deployable structures was obtained in deployed and folded configurations. Secondly, according to the characteristics of the ring array deployable structure, a method was adopted, which was the combination of unit mechanism method and influence coefficient method, and the kinematics analysis method of the structure was established. Thirdly, the influence coefficient method and the principle of virtual work were combined to form the dynamatics analysis of the structure.At last, the effectiveness of the kinamatics and dynamics methods was confirmed by an example.

Key words: deployable structure; , scissor-like element(SLE);kinematic influence coefficient; , unit mechanism method

摘要：

通过分析剪刀单元之间几何参数的关系，得到单元尺寸和单元数量与展开和收拢半径之间的约束条件;针对可展结构的组成特点，提出将单元机构法与运动影响系数法相结合，建立可展结构的运动学分析方法;将运动影响系数法与虚功原理相结合，形成了可展结构的动力学分析方法。通过算例证实了所建立的运动学和动力学分析方法的有效性。

关键词: 可展结构, 剪刀机构, 运动影响系数, 单元机构法

CLC Number:

TH113

袁茹, 王剑, 王三民, 刘国林. 剪刀机构环形阵列可展结构的运动学与动力学研究[J]. 中国机械工程, 2014, 25(17): 2309-2313.

References

[1]刘荣强，田大可，邓宗全．空间可展开天线结构的研究现状与展望[J].机械设计，2010, 27(9): 1-10.
Liu Rongqiang,Tian Dake,Deng Zongquan.Research Actuality and Prospect of Structure for Space Deployable Antenna[J]. Journal of Machine Design,2010, 27(9): 1-10.
[2]Pinero E P. Expandable Space Framing[J].Progressive Architecture, 1962, 43(6):154-155.
[3]You Z, Pellegrino S.Fordable Bar Structures[J].International Journal of Solids and Structures,1997, 34(15):1825-1847.
[4]Zhao J S, Chu F L, Feng Z J.The Mechanism Theory and Application of Deployable Structures Based on SLE[J]. Mechanism and Machine Theory,2009,44(2): 324-335.
[5]杨毅,丁希仑.剪式单元可展机构静力学分析与拓扑优化设计[J].中国机械工程，2010, 21(2):184-189.
Yang Yi,Ding Xilun.Analysis and Topology Optimization of Deployable Mechanism Based on Pantograph[J].China Mechanical Engineering,2010, 21(2):184-189.
[6]Kipe G, Soylemez E, Ozgur Kisisel A U. A Family of Deployable Polygons and Polyhedra[J]. Mechanism and Machine Theory, 2008, 43(5): 627-640.
[7]Lu J Y, Li N, Luo Y Z.Kinematic Analysis of Planar Deployable Structures with Angulated Beams Based on Equilibrium Matrix[J]. Advances in Structural Engineering, 2011,14(6):1005-1015.
[8]Charis G.An Improved Analytical Model for the Prediction of the Nonlinear Behavior of Flat and Curved Deployable Space Frames[J].Journal of Constructional Steel Research, 1997,44:129-158.
[9]Thomas M, Tesar D. Dynamic Modeling of Serial Manipulator Arms[J]. Journal of Dynamic Systems Measurement and Control, 1982,104(9): 218-227.
[10]Huang Z.Modeling Formulation of 6-DOF Multi-loop Parallel Manipulators, Part-2: Dynamic Modeling and Example[C]//Proc. of the 4th IFToMM International Symposium on Linkage and Computer Aided Design Methods. Bucharest, Romania:1985:163-170.
[11]Huang Z, Wang H B.Dynamic Force Analysis of n-DOF Multi-loop Complex Spatial Mechanisms[J]. Mechanism and Maching Theory, 1992, 27(1):97-105.

[1]	WANG Zhiqiang, LEI Zhenyu. Analysis of Causes for Rail Corrugation on Steel Spring Floating Slab Tracks of Metro Small Radius Curves [J]. China Mechanical Engineering, 2023, 34(24): 2899-2908.
[2]	REN Yongsheng, YAO Donghui, ZHANG Jinfeng. Research Advances in Chatter of Metal Cutting Systems Involving Time Delays [J]. China Mechanical Engineering, 2023, 34(21): 2548-2567,2576.
[3]	XU Lixin, XIA Chen, YANG Bo. Analysis and Test on Dynamic Transmission Errors of RV Reducers under Load Conditions [J]. China Mechanical Engineering, 2023, 34(18): 2143-2152.
[4]	WANG Liangwen, KONG Yangguang, WANG Ruolan, ZHANG Zhigang, LIU Xuling, LI Linfeng, . Simulation and Experimental Study of Contact-collision of Inner Braced Manipulators for Grasping Thin-walled Fragile Cylindrical Inner Wall Workpieces [J]. China Mechanical Engineering, 2023, 34(17): 2026-2036.
[5]	ZHOU Ruchuan, WU Wenmin, FENG Manman, GUO Hui, LIN Yanhu. Tooth Surface Generation and Meshing Characteristics Analysis of Low-angle Face Gear Drives [J]. China Mechanical Engineering, 2023, 34(06): 631-640.
[6]	CHEN Hao, GONG Mingde, ZHAO Dingxuan, ZHANG Wei, ZHANG Yue, HAO Chunyou, . Sensitivity Analysis and Adaptive Tracking Control of Electro-hydraulic Active Suspensions [J]. China Mechanical Engineering, 2023, 34(04): 481-489.
[7]	DONG Chenglin, CAI Longqi, LI Yi, LU Tong, ZHANG Luke. Isotropy Design and Vibration Reduction of a Three-dimensional Dynamics Vibration Absorber Based on Parallel Mechanisms [J]. China Mechanical Engineering, 2023, 34(03): 307-313.
[8]	HE HonglinZ, HAO Weipeng, YU Zhihao, LONG Yufan, YAN Yinqi, LI Ji. Topological Dynamics Optimization of Constrained Damping Plates Based on Bilinear Material Interpolation Model [J]. China Mechanical Engineering, 2022, 33(23): 2783-2789，2878.
[9]	ZHANG Hongquan, XIAO Wangqiang. Anti-vibration Design for Compressor Pipelines of Inverter Air Conditioners Based on Particle Damping [J]. China Mechanical Engineering, 2022, 33(18): 2172-2182，2189.
[10]	WANG Longkai, WANG Ailun, YIN Yijun, JIN Miao, HENG Xing. Dynamics Modeling Method of Complex Rotors for Aero-turboshaft Engines [J]. China Mechanical Engineering, 2022, 33(13): 1513-1520.
[11]	WU Lifeng, , LYU Yong, YUAN Rui, ZHU Xi, YOU Jun, . Improved SA-MEMD with Applications to Fault Diagnosis of Rolling Bearings [J]. China Mechanical Engineering, 2022, 33(11): 1336-1344.
[12]	ZHU Jianxu, ZHAO Dingxuan, , GONG Mingde, CHEN Hao, , YANG Mengke, . Active Suspension System Energy Consumption and Engine Power Matching Control for Emergency Rescue Vehicles [J]. China Mechanical Engineering, 2022, 33(11): 1361-1368.
[13]	QIU Mingming, YU Wei, ZHAO Han, LIU Hao, CAO Longkai. Braking Energy Recovery Control Strategy for PHEVs Considering Coupling Influence of Driving Cycle and Driving Style [J]. China Mechanical Engineering, 2022, 33(02): 143-152.
[14]	WU Hongan, , LYU Yong, , YI Cancan, YUAN Rui, . Synchrosqueezing Algorithm for Window Extension and Compression Optimization and Its Applications in Instantaneous Frequency Estimation under Variable Speed Conditions [J]. China Mechanical Engineering, 2022, 33(01): 34-44.
[15]	SHAN Zenghai, LI Zhiyuan, ZHANG Xu, HUANG Yixiang, LI Yanming, LIU Chengliang, ZHANG Xuan. Health Status Assessment of Hydraulic Pumps Based on Multi-sensor Information Fusion and Multi-grained Cascade Forest Model [J]. China Mechanical Engineering, 2021, 32(19): 2374-2382.