Transactions of Materials and Heat Treatment

Title：Multi-objective topology optimization design and sensitivity analysis on 3-PRR fully compliance parallel mechanism based on level-set method

Authors： Wang Xinhui Chang Zongyao Du Surui Jiao Fanwei

Unit： Shuozhou Campus of the North University of China

KeyWords： 3-PRR fully compliance parallel mechanism kinetic isomorphism characteristics level-set topology optimization sensitivity analysis micro movement characteristics

ClassificationCode：TP391

year,vol(issue):pagenumber：2018,43(1):181-188

Abstract：

The differential Jacobian matrix was derived by the theory of isomorphic mapping and differential kinematic principle based on traditional 3-PRR parallel mechanism of explicit joints. And according to level-set method, the minimum compliance was defined as optimization objective function, the differential Jacobian matrix was defined as kinetic constraint of input-output mapping relation, and the volume fraction of material before and after optimization was defined as optimal constraint to establish the optimization model of 3-PRR fully compliance parallel mechanism. Furthermore, the optimal configuration and design sensitivity of 3-PRR fully compliance parallel mechanism were solved by optimization solver OptiStruct. The research indicates that the micro movement characteristics of the designed 3-PRR fully compliance parallel mechanism are consistent with that of traditional 3-PRR parallel mechanism, and the phenomenon of stress concentration is eliminated when the compliance of optimization result is up to the minimum. The theory analysis and simulation optimization provide practical meaning for the optimal configuration design of planar and spatial micro elastic deformation mechanism and even intelligent crawling mechanism.

Funds：

作者简介：王鑫辉（1996- ），男，本科，E-mail：1224702830@qq.com

Reference：

[1]荣伟彬，马立，孙立宁，等.二维微动工作台分析及其优化设计方法[J].机械工程学报，2006，42(5)：26-30.

Rong W B, Ma L, Sun L N, et al. Analysis and optimum design of 2-DOF micro-positioning stage[J].Chinese Journal of Mechanical Engineering，2006，42(5)：26-30.

[2]豪厄尔. 柔顺机构学[M]. 余跃庆, 译. 北京：高等教育出版社，2007.

Howell L L. Compliant Mechanisms[M]. Translated by Yu Y Q. Beijing：Higher Education Press，2007.

[3]Howell L L，Midma A. Parametric deflection approxiations for end-loaded large-deflection beams in compliant mechanisms[J]. Journal of Mechanical Design, 1995, 117(1): 156-165.

[4]李茜,余跃庆,常星.基于2R伪刚体模型的柔顺机构动力学建模及特性分析[J].机械工程学报，2012，48 (13)：40-48.

Li Q, Yu Y Q, Chang X. Dynamic modeling and analysis of compliant mechanisms based on 2R pseudo-rigid-body model[J].Chinese Journal of Mechanical Engineering，2012，48 (13)：40-48.

[5]朱大昌，宋马军.基于多目标拓扑优化的全柔顺并联机构构型固有振动频率研究[J].中国机械工程，2015，26(13)：1794-1801.

Zhu D C, Song M J. Research on natural vibration frequency of fully compliant parallel mechanism configuration based on multi-objective topology optimization[J].China Mechanical Engineering，2015，26(13)：1794-1801.

[6]汪源，朱伟，沈惠平.一种柔顺并联自适应机构的工作特性分析[J].机械设计与研究，2013，29(4)：25-29.

Wang Y, Zhu W, Shen H P. A novel adaptive flexible parallel mechanism and its operating characteristics analysis[J].Machine Design & Research，2013，29(4)：25-29.

[7]任学平，谈艳阳，田凯.换辊小车横移车架结构的多目标优化设计[J].锻压技术，2017，42 (9) ：157-162.

Ren X P, Tan Y Y, Tian K. Multi-objective optimization on the transverse frame of roll change car[J].Forging & Stamping Technology，2017，42(9) ：157-162.

[8]宋马军.基于静动态多目标拓扑优化理论的弹性微变形并联机构构型综合与设计[D].赣州：江西理工大学，2016.

Song M J. Configuration Synthesis and Design of Elastic Micro Deformation Parallel Mechanism Based on Statics/Dynamics Multi-objective Topology Optimization [D]. Ganzhou：Jiangxi University of Science and Technology，2016.

[9]Bendsoe M P, Kikuchi N. Generating optimal topologies in structural design using a homogenization method[J]. Computer Methods in Applied Mechanics and Engineering, 1998, 71(1): 197-224.

[10]袁志鹏，吴任东，袁朝龙，等.重载圆筒式橡皮囊压机筒形机架优化设计[J].锻压技术，2016，41(11)：105-114.

Yuan Z P，Wu R D, Yuan C L, et al. Optimization design on cylinder frame for overloading cylindrical type rubber bladder hydraulic press[J]. Forging & Stamping Technology，2016，41(11)：105-114.

[11]Van Dijk N P, Langelaar M, Van Keulen F. Explict level-set-based topology optimization using an exact Heaviside function and consistent sensitivity analysis[J]. International Journal for Numerical Methods in Engineering, 2012, 91(1):67-79.

[12]Lio Z, Zhang N, Wu T. Design of compliant mechanisms using meshless levelset methods[J].Computer Modeling in Engineering & Sciences，2012，85(4)：299-328.

[13]Challis V J. Multi-property Topology Optimization with the Level Set Method[D]. Queensland,Australia: The University of Queensland, 2009.

[14]Allaire G, Jouve F, Toader A M. Structural optimization using sensitivity analysis and a level-set method[J]. Journal of Computational Physics,2004, 194(1)：363-393.

[15]谢晖，凌鸿伟. 基于Sobol法的热成形工艺参数全局灵敏度分析及优化设计[J].塑性工程学报，2016，23(2) ：11-15.

Xie H，Ling H W. Global sensitivity analysis and optimal design for hot forming parameters based on sobol method[J]. Journal of Plasticity Engineering，2016，23(2) ：11-15.

[16]黄真,赵永生,赵铁石.高等空间机构学[M].北京：高等教育出版社，2006.

Huang Z, Zhao Y S, Zhao T S. Advanced Spatial Mechanism[M]. Beijing：Higher Education Press，2006.

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