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<p>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.</p>

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

  • 期刊论文

  • 发表日期：

    2026年3月3日

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

摘要

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.