考虑几何非线性的无铰链柔顺机构渐进式拓扑优化设计  

Bi-evolutionary Structural Optimization Method for Hinge-Free Compliant Mechanism Considering Geometric Nonlinearity

作　　者：唐跃友 王强[1] 何健 夏凉 Yueyou Tang;Qiang Wang;Jian He;Liang Xia(State Key Laboratory of Intelligent Manufacturing Equipment and Technology,Huazhong University of Science and Technology,Wuhan,430074;School of Systems Design and Intelligent Manufacturing,Southern University of Science and Technology,ShenZhen,518055)

机构地区：[1]华中科技大学智能制造装备与技术国家重点实验室,武汉430074 [2]南方科技大学系统设计与智能制造学院,深圳518055

出　　处：《固体力学学报》2024年第6期709-723,共15页Chinese Journal of Solid Mechanics

基　　金：国家自然科学基金项目(52375245);轻质高强结构优化设计技术研究项目(2023-KYWX-0013)资助。

摘　　要：在柔顺机构的拓扑优化设计中,位形变化对结构性能影响不可忽视,集中铰链区域的形成不仅削弱了结构强度,还不利于结构的可制造性.为此,本文基于双向渐进结构优化法,提出了一种考虑几何非线性的无铰链柔顺机构拓扑优化设计方法.首先,采用了双向渐进结构优化法,其独特的0-1分布有效避免了几何非线性有限元分析中的单元畸变问题,提升了数值计算的稳定性与收敛性.其次,通过对输入和输出端在单位激励下的响应形变进行约束,有效抑制了柔顺机构中集中铰链的形成,提升了结构强度并改善了设计构型的可制造性.最后,制备了基于非线性设计的无铰链柔顺机构测试样件,实验结果与数值仿真结果高度一致,进一步验证了所提铰链抑制策略在柔顺机构拓扑优化中的有效性与可行性.In the topology optimization of compliant mechanisms,positional and shape factors significantly affect structural mechanical properties.The formation of concentrated hinge regions not only weakens structural strength but also hinders manufacturability.To this end,we propose a topology optimization method for hinge-free compliant mechanisms,incorporating geometric nonlinearity and utilizing the bi-directional evolutionary structural optimization(BESO)method.Initially,the design domain is discretized,where the 0-1 distribution of the BESO method prevents element distortion during nonlinear finite element analysis,thus enhancing numerical stability and convergence.The deformations of the compliant mechanism at the input and output are constrained under unit excitation,effectively suppressing the emergence of concentrated hinges.This leads to improved structural strength and manufacturability.Finally,hinge-free mechanisms are fabricated via additive manufacturing.Experimental results from samples show excellent agreement with finite element simulations,validating the effectiveness of the proposed hinge-suppression strategy in compliant mechanism design.

关 键 词：柔顺机构 双向渐进结构优化法 几何非线性 无铰链 

分 类 号：TH112[机械工程—机械设计及理论]