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Polygonal multiresolution topology optimization of multi-material structures subjected to dynamic loads

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Abstract

Topology optimization of multi-material structures under dynamic loads is implemented to minimizing compliance on polygonal finite element meshes with multiple volume constraints. A multiresolution scheme is introduced to obtain high resolution de-signs for structural dynamics problems with less computational burden. This multiresolution scheme employs a coarse finite element mesh to fulfil the dynamic analysis, a refined density variable mesh for optimization and a density variable mesh overlapping with the density variable mesh for design configuration representation. To obtain the dynamic response, the HHT-α method is employed. A ZPR (Zhang-Paulino-Ramos Jr.) update scheme is used to update the design variables in association to multiple volume constraints by a sensitivity separation technique. Several numerical examples are presented to demonstrate the effectiveness of the method to solve the topology optimization problems for mul-ti-material structures under dynamic loads.

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The data and materials that support the findings of this study are available from the corresponding author upon reasonable request.

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Acknowledgements

The authors appreciate the polygonal finite element program provided by Talischi C et al. for research purposes. This work was supported by the National Natural Science Foundation of China under Grant No. 51505096, and the Natural Science Foundation of Heilongjiang Province under Grant No. LH2020E064.

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  1. School of Mechanical and Power Engineering, Harbin University of Science and Technology, Harbin, 150080, China

    Xudong Jiang & Jiaqi Ma

  2. School of Mechanical and Electrical Engineering, Harbin Engineering University, Harbin, 150001, China

    Xiaoyan Teng

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  1. Xudong Jiang
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Jiang, X., Ma, J. & Teng, X. Polygonal multiresolution topology optimization of multi-material structures subjected to dynamic loads. Int J Mech Mater Des 19, 351–373 (2023). https://doi.org/10.1007/s10999-022-09631-8

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