Topology Optimization of Compliant Mechanisms with Embedded MovablePiezoelectric Actuator Considering Minimum Length Constraints

doi:10.3969/j.issn.1004-132X.2025.02.008

Abstract

Abstract: In order to optimize the configuration of the compliant mechanisms and the distribution of the piezoelectric actuators simultaneously and meet the manufacturing requirements, a topology optimization design method of the compliant mechanisms was proposed with embedded movable piezoelectric actuators considering the minimum length constraints. The independent point density interpolation model was used to describe the material distribution of the main structure, the level set function was used to characterize the embedded movable piezoelectric actuator of any shape, the structure indicator function was used to identify the solid and empty phase materials, and the filtering threshold technology was used to control the minimum length of the main structure. At the same time, non-overlapping constraints were established to ensure that the piezoelectric actuator did not overlap with the boundary of the design domains during the optimization processes. Maximizing the output displacement of the compliant mechanisms was used as the objective function, and a hybrid topological description model of independent point density interpolation and level set method was established. The method of moving asymptote(MMA) approach was used to solve topology optimization problems. Numerical examples demonstrate that the proposed method may effectively simultaneously optimize the main structure and the position distribution of the piezoelectric actuators, and meet the minimum length requirements.

Key words: compliant mechanism, topology optimization, piezoelectric actuator, minimum length constraint, movable component

摘要： 为了使柔顺机构构型与压电驱动分布同时达到最优，并满足工艺制造要求，提出考虑最小尺寸约束的内嵌可移动压电驱动柔顺机构拓扑优化设计方法。采用独立点密度插值模型描述主体结构的材料分布，利用水平集函数表征任意形状的内嵌可移动压电驱动器，通过结构指示函数识别实体和空相材料，采用滤波阈值技术控制主体结构的最小尺寸。同时建立非重叠约束以保证压电驱动器在优化过程中不与设计域边界发生重叠，并以柔顺机构的输出位移最大化为目标函数，建立独立点密度插值水平集联合拓扑优化模型，利用移动渐近线法求解拓扑优化问题。数值算例证明所提方法可以有效地同时优化主体结构和压电驱动器的位置分布，并满足最小尺寸要求。

关键词: 柔顺机构, 拓扑优化, 压电驱动, 最小尺寸约束, 可移动组件

CLC Number:

TG156

LIU Min1, 2, LU Feiyang1, ZHAN Jinqing1, 2, WU Jian1, ZHU Benliang3. Topology Optimization of Compliant Mechanisms with Embedded MovablePiezoelectric Actuator Considering Minimum Length Constraints[J]. China Mechanical Engineering, 2025, 36(02): 255-264.

刘敏1, 2, 卢飞扬1, 占金青1, 2, 吴剑1, 朱本亮3. 考虑最小尺寸约束的内嵌可移动压电驱动柔顺机构拓扑优化设计[J]. 中国机械工程, 2025, 36(02): 255-264.

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