基于转动约束策略的柔顺机构拓扑优化

doi:10.3901/JME.2023.01.082

机械工程学报 ›› 2023, Vol. 59 ›› Issue (1): 82-90.doi: 10.3901/JME.2023.01.082

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基于转动约束策略的柔顺机构拓扑优化

乔赫廷¹, 武双双¹, 闫明¹, 汤赫男¹, 蔡高源²

1. 沈阳工业大学机械工程学院沈阳 110870;
2. 鞍山钢铁集团公司鞍山 114021

收稿日期:2021-12-21 修回日期:2022-05-13 出版日期:2023-01-05 发布日期:2023-03-30
通讯作者: 乔赫廷(通信作者),男,1982年出生,副教授。主要研究方向为结构与多学科优化设计。E-mail:qiaoheting311@163.com
作者简介:武双双,女,1992年出生,博士研究生。主要研究方向为机械设计与理论。E-mail:15736950252@163.com;闫明,男,1978年出生,教授,博士研究生导师。主要研究方向为机械结构设计及机械动力学应用。E-mail:yanming7802@163.com
基金资助:
国家自然科学基金（51505298，52275455）和辽宁省教育厅一般计划项目（LJGD2019008）资助项目。

Topology Optimization of Compliant Mechanisms Based on Rotation Constraint Strategy

QIAO Heting¹, WU Shuangshuang¹, YAN Ming¹, TANG Henan¹, CAI Gaoyuan²

1. School of Mechanical Engineering, Shenyang University of Technology, Shenyang 110870;
2. Anshan Iron and Steel Group Corporation, Anshan 114021

Received:2021-12-21 Revised:2022-05-13 Online:2023-01-05 Published:2023-03-30

摘要/Abstract

摘要： 柔顺机构在航天航空、生物医疗、及仿生机器人等高新科技领域的精密微机械系统中拥有巨大的应用潜力。目前，拓扑优化是柔顺机构构型设计的主要方法之一。为了解决传统柔顺机构拓扑优化设计中存在虚铰的问题，首先，将旋转角引入柔顺机构构型设计中，以旋转角为观测指标，分析拓扑优化结果中存在虚铰的原因。其次，通过约束设计域内的旋转角平方的平均值不超过许用值，建立无铰链式柔顺机构拓扑优化模型，并且利用伴随法推导与之相应的灵敏度分析列式。最后，采用反向位移机构与柔性夹钳这两个经典算例的拓扑优化设计验证了所提优化模型的可行性和有效性。研究结果表明：基于转动约束策略获得的具有类桁架构型无铰链式柔顺机构，虽然在输入位移与输出位移方面表现出一定程度的减少，但避免了局部应变过大、应力集中问题的出现。

关键词: 柔顺机构, 拓扑优化, 虚铰, 旋转角, 无铰链

Abstract: Compliant mechanisms have a great application potential in ultra-precision MEMS(Micro-Electro Mechanical System) of aerospace, biomedical, bionic robot and other high-tech fields. At present, topology optimization is one of the main methods in configuration design of compliant mechanisms. In order to solve the problem of de facto hinges in the traditional topology optimization of compliant mechanisms, firstly, the rotation angle is introduced into the configuration design of the compliant mechanism. Then, the causes of the emergence of de facto hinges in the optimum results obtained by topology optimization are analyzed by taking the rotation angle as the observation. Secondly, the topology optimization model of hinge-free compliant mechanisms is established by limiting the average of squared rotation within the design domain to the allowable value, and the corresponding sensitivity analysis formulas are derived by the adjoint method. Finally, the feasibility and effectiveness of the proposed optimization model are verified by topology optimization of two classical examples, namely reverse displacement mechanism and flexible clamp. The results show that hinge-free compliant mechanisms with truss-like configuration obtained by the rotation constraint strategy exhibit a certain degree of reduction in the input displacement and output displacement, but the problems of excessive local strain and stress concentration are avoided.

Key words: compliant mechanism, topology optimization, de facto hinge, rotation, hinge-free

中图分类号:

乔赫廷, 武双双, 闫明, 汤赫男, 蔡高源. 基于转动约束策略的柔顺机构拓扑优化[J]. 机械工程学报, 2023, 59(1): 82-90.

QIAO Heting, WU Shuangshuang, YAN Ming, TANG Henan, CAI Gaoyuan. Topology Optimization of Compliant Mechanisms Based on Rotation Constraint Strategy[J]. Journal of Mechanical Engineering, 2023, 59(1): 82-90.

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基于转动约束策略的柔顺机构拓扑优化

Topology Optimization of Compliant Mechanisms Based on Rotation Constraint Strategy

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