Topology Optimization Design of Graded Lattice Compliant Mechanisms Based on ICM Method

IF 2.6 3区工程技术 Q3 MATERIALS SCIENCE, MULTIDISCIPLINARY

Acta Mechanica Solida Sinica Pub Date : 2026-03-03 DOI:10.1007/s10338-026-00712-1

Nan Wei, Jicheng Li, Bingchuan Bian, Tao Song, Hongling Ye

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引用次数: 0

Abstract

A collaborative topology optimization design method is proposed utilizing a surrogate model for the effective elastic properties of microstructures. The method optimizes graded lattice compliant mechanisms (GLCMs) to maximize target output displacement under volume constraints. First, the effective elastic properties of graded microstructures are calculated using homogenization theory, and a surrogate model is constructed via cubic polynomial fitting to link the macroscopic structure layout with microstructure selection. Subsequently, a collaborative topology optimization model for GLCMs is established and solved under volume constraints using the independent continuous mapping (ICM) method. Finally, the effectiveness of the present method for optimizing GLCMs is verified through a displacement inverter mechanism and a compliant flipping wing mechanism. The results demonstrate superior compliant performance of GLCMs over uniform lattice compliant mechanisms. The proposed collaborative topology optimization method offers insights into GLCMs design and advances the theoretical underpinnings of the ICM method.

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基于ICM方法的梯度点阵柔性机构拓扑优化设计

提出了一种利用替代模型求解微结构有效弹性特性的协同拓扑优化设计方法。该方法优化了梯度晶格柔性机构（GLCMs），以在体积约束下最大化目标输出位移。首先，利用均匀化理论计算梯度微观结构的有效弹性特性，并通过三次多项式拟合建立替代模型，将宏观结构布局与微观结构选择联系起来；随后，建立了glcm的协同拓扑优化模型，并在体积约束下采用独立连续映射（ICM）方法进行了求解。最后，通过位移逆变机构和柔性翻转翼机构验证了该方法优化glcm的有效性。结果表明，glcm的柔顺性能优于均匀晶格柔顺机制。所提出的协同拓扑优化方法为glcm设计提供了见解，并推进了ICM方法的理论基础。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Acta Mechanica Solida Sinica 物理-材料科学：综合

CiteScore

3.80

自引率

9.10%

发文量

1088

审稿时长

9 months

期刊介绍： Acta Mechanica Solida Sinica aims to become the best journal of solid mechanics in China and a worldwide well-known one in the field of mechanics, by providing original, perspective and even breakthrough theories and methods for the research on solid mechanics. The Journal is devoted to the publication of research papers in English in all fields of solid-state mechanics and its related disciplines in science, technology and engineering, with a balanced coverage on analytical, experimental, numerical and applied investigations. Articles, Short Communications, Discussions on previously published papers, and invitation-based Reviews are published bimonthly. The maximum length of an article is 30 pages, including equations, figures and tables