长沙理工大学学报(自然科学版)
一种新的多输入多输出柔顺机构拓扑优化方法
作者:
作者单位:

(1.长沙理工大学汽车与机械工程学院,湖南长沙 410114;2.长沙理工大学工程车辆轻量化与可靠性技术湖南省高校重点实验室,湖南长沙 410114)

作者简介:

荣见华(1963-),男,教授,主要从事结构动力学及优化方面的研究。

通讯作者:

荣见华(1963-),男,教授,主要从事结构动力学及优化方面的研究。

中图分类号:

TH122

基金项目:

国家自然科学基金资助项目(11772070,11372055);中国建筑第五工程局有限公司科研项目(3030402)


A new topology optimization method for multi-input-multi-output compliant mechanisms
Author:
Affiliation:

(1.School of Automotive and Mechanical Engineering, Changsha University of Science & Technology, Changsha 410114,China;2.Key Laboratory of Light weight and Reliability Technology for Engineering Vehicle,College of Hunan Province,Changsha University of Science & Technology,Changsha 410114,China)

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    摘要:

    针对多输入多输出柔顺机构的输出位移最大化拓扑优化问题,提出了一种新的拓扑优化求解方法。首先,引入柔顺度的小量变化约束函数来处理柔顺机构拓扑优化的病态载荷问题和类铰链问题。基于传统界限公式法思路,通过一个界限变量将多个输出位移最大化目标等效转化为多个约束条件,构建了一种新的多输入多输出柔顺机构拓扑优化的界限公式模型。然后,结合变体积约束限技术、密度过滤技术、Heaviside映射技术、固体各向同性材料插值方法及光滑对偶求解算法,提出了一种新的多输入多输出柔顺机构拓扑优化方法。算例计算结果表明:相对于现有方法,本研究提出的方法获得的最终拓扑不仅清晰,不含类铰链,且具有更大的输出位移。

    Abstract:

    A new topology optimization method was proposed to maximize the output displacements of multi-input-multi-output compliant mechanisms. Firstly, aconstraint function on the small quantity change of the compliance was introduced to deal with the illconditioned loads and hinge-like problems of topological optimization of multi-input-multi- output compliant mechanisms. Based on the idea of the traditional bound formula method, a new bound formula model for topology optimization of multi-input-multi-output compliant mechanisms was constructed by equivalently transforming multiple output displacement maximization objectives into multiple constraints through abound variable. Secondly, combining with the varied volume constraint scheme, density filtering technology, Heaviside mapping technology, solid isotropicmaterial inter polation method and the smooth dual algorithm, a new topology optimization method for multi-input-multi-output compliant mechanisms was proposed. The calculating results of the examples show that,compared with the existing method, the final topology obtained by proposed method is not only clear,free of hinges, but also has a larger output displacement.

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引用本文

荣见华,彭罗,易继军,等.一种新的多输入多输出柔顺机构拓扑优化方法[J].长沙理工大学学报(自然科学版),2021,18(1):66-78.
RONG Jian-hua, PENG Luo, YI Ji-jun, et al. A new topology optimization method for multi-input-multi-output compliant mechanisms[J]. Journal of Changsha University of Science & Technology (Natural Science),2021,18(1):66-78.

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  • 在线发布日期: 2022-02-22
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