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Topology optimization of viscoelastic materials on damping and frequency of macrostructures

机译：粘弹性材料在阻尼和宏观结构频率上的拓扑优化

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摘要

Damping and natural frequency are the most important characteristics for evaluating the performance of dynamic structures. This paper proposes a topology optimization algorithm based on the bi-directional evolutionary structural optimization (BESO) method to designing viscoelastic materials. This algorithm optimizes damping and natural frequency of macrostructures by tailoring microstructures of viscoelastic materials. The material microstructures are assumed to be composed of periodic unit cells (PUCs) and the effective properties of the PUC are extracted by the homogenization theory and further integrated into the analysis of the macroscopic structure. To improve the performance of dynamic structures, the inverse homogenization is conducted to seek the best distribution of the base materials within the PUC. Numerical examples are presented to demonstrate the effectiveness of the proposed algorithm, which optimizes the microstructures of viscoelastic cellular or composite materials for 2D and 3D structures. (C) 2018 Elsevier B.V. All rights reserved.
机译：阻尼和固有频率是评估动态结构性能的最重要特征。提出了一种基于双向演化结构优化（BESO）方法的拓扑优化算法来设计粘弹性材料。该算法通过调整粘弹性材料的微观结构来优化宏观结构的阻尼和固有频率。假定材料的微观结构由周期性晶胞（PUC）组成，并且通过均质化理论提取了PUC的有效特性，并将其进一步集成到宏观结构的分析中。为了提高动态结构的性能，进行反向均质化以寻求PUC中基础材料的最佳分布。数值算例表明了该算法的有效性，该算法优化了用于2D和3D结构的粘弹性多孔或复合材料的微观结构。 （C）2018 Elsevier B.V.保留所有权利。

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