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考虑几何非线性的无铰链柔顺机构渐进式拓扑优化设计

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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.
Bi-evolutionary Structural Optimization Method for Hinge-Free Compliant Mechanism Considering Geometric Nonlinearity
In the topology optimization of compliant mechanisms,positional and shape factors signifi-cantly affect structural mechanical properties.The formation of concentrated hinge regions not only weak-ens structural strength but also hinders manufacturability.To this end,we propose a topology optimiza-tion method for hinge-free compliant mechanisms,incorporating geometric nonlinearity and utilizing the bi-directional evolutionary structural optimization(BESO)method.Initially,the design domain is dis-cretized,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 emer-gence 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-sup-pression strategy in compliant mechanism design.

compliant mechanismBESO methodgeometric nonlinearityhinge-free

唐跃友、王强、何健、夏凉

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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

南方科技大学系统设计与智能制造学院,深圳,518055

柔顺机构 双向渐进结构优化法 几何非线性 无铰链

2024

固体力学学报
中国力学学会

固体力学学报

CSTPCD北大核心
影响因子:0.605
ISSN:0254-7805
年,卷(期):2024.45(6)