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Structural and Multidisciplinary Optimization

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20-09-2017 | RESEARCH PAPER

Structural topology optimization under harmonic base acceleration excitations

Authors: Ji-Hong Zhu, Fei He, Tao Liu, Wei-Hong Zhang, Qinglin Liu, Chong Yang

Published in: Structural and Multidisciplinary Optimization | Issue 3/2018

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Abstract

This work is focused on the structural topology optimization methods related to dynamic responses under harmonic base acceleration excitations. The uniform acceleration input model is chosen to be the input form of base excitations. In the dynamic response analysis, we propose using the large mass method (LMM) in which artificial large mass values are attributed to each driven nodal degree of freedom (DOF), which can thus transform the base acceleration excitations into force excitations. Mode displacement method (MDM) and mode acceleration method (MAM) are then used to calculate the harmonic responses and the design sensitivities due to their balances between computing efficiency and accuracy especially when frequency bands are taken into account. A density based topology optimization method of minimizing dynamic responses is then formulated based on the integration of LMM and MDM or MAM. Moreover, some particular appearances such as the precision of response analysis using MDM or MAM, and the duplicated frequencies are briefly discussed. Numerical examples are finally tested to verify the accuracy of the proposed schemes in dynamic response analysis and the quality of the optimized design in improving dynamic performances.

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Title: Structural topology optimization under harmonic base acceleration excitations
Authors: Ji-Hong Zhu
Fei He
Tao Liu
Wei-Hong Zhang
Qinglin Liu
Chong Yang
Publication date: 20-09-2017
Publisher: Springer Berlin Heidelberg
Published in: Structural and Multidisciplinary Optimization / Issue 3/2018
Print ISSN: 1615-147X
Electronic ISSN: 1615-1488
DOI: https://doi.org/10.1007/s00158-017-1795-0

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