可装配式空间三平移柔顺机构拓扑构型研究  

Research on the 3-DOF translational compliant mechanism for assemblyable spatial topological configuration

作　　者：赖俊豪 朱大昌[1] 占旺虎 杨家谋 钟云 LAI Jun-hao;ZHU Da-chang;ZHAN Wang-hu;YANG Jia-mou;ZHONG Yun(School of Mechanical and Electric Engineering,Guangzhou University,Guangzhou 510006)

机构地区：[1]广州大学机械与电气工程学院,广东广州510006

出　　处：《机械设计》2020年第8期41-49,共9页Journal of Machine Design

基　　金：广东高校基础研究重大项目及应用研究重大项目(自然科学类)(2017KZDXM060);广东省普通高校创新团队项目(2018KCXTD023)。

摘　　要：针对空间柔顺机构拓扑构型难以加工或加工成本过高的问题,提出一种可装配式空间柔顺拓扑设计方法。通过对空间3-PUU型并联机构运动学分析,得到其微分雅可比矩阵,建立空间三平移柔顺机构拓扑构型同构映射矩阵。采用同构映射矩阵与SIMP(Solid Isotropic Material with Penalization)插值模型相结合的拓扑优化方法,建立空间三平移柔顺机构拓扑模型并求解。通过对拓扑构型二次建模与静力学仿真对比分析,实时修正拓扑优化参数,采用3D打印实体模型进行相关试验分析。试验结果表明:文中所设计的空间三平移柔顺机构与3-PUU型并联机构具有同构性,为该类型柔顺机构精确建模与应用提供切实可行的途径。Since the compliant mechanism for spatial topological configuration is difficult to process and the processing cost is high,the method of assemblyable spatial topological configuration is proposed.Based on the kinematic analysis on the 3-PUU parallel mechanism,the Differential Jacobi Matrix is worked out;the Isomorphic Mapping Matrix of the 3-DOF translational compliant mechanism for spatial topological configuration is set up.Both the Isomorphic Mapping Matrix and SIMP(Solid Isotropic Material with Penalization)interpolation model are adopted for topological optimization,so that the 3-DOF translational compliant mechanism for spatial topological configuration is worked out and solved.Through the comparative analysis on the secondary modeling of topological configuration and the simulation of statics,the parameters of topological optimization are modified in a realtime manner,and the physical model is printed out in 3D for the related experimental analysis.The results show that the 3-DOF spatial translational compliant mechanism is identical to the 3-PUU parallel mechanism,which provides practical significance for the precise modeling and application of this compliant mechanism.

关 键 词：拓扑优化 微分矢量同构映射 SIMP 可装配式拓扑构型 

分 类 号：TH122[机械工程—机械设计及理论]