A comparative study of dynamic analysis methods for structural topology optimization under harmonic force excitations
A comparative study of dynamic analysis methods for structural topology optimization under harmonic force excitations
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DOI：
10.1007/s00158-014-1218-4
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发表时间：
2015-01
影响因子：
3.9
通讯作者：
Hu Liu;Weihong Zhang;T. Gao
中科院分区：
文献类型：
--
作者：
Hu Liu;Weihong Zhang;T. Gao
这项工作的重点是与大规模问题的谐波响应相关的拓扑优化。对模态位移法（MDM）、模态加速法（MAM）和全法（FM）进行了比较研究，以突出其有效性。研究发现，MDM由于谐波响应精度较低，导致收敛效果不佳，而MAM和FM精度良好，明显有利于优化收敛。尤其是在某一特定频率激励下，调频无论在精度还是效率上都具有优越性； MAM 因其在考虑多个激励频率时计算效率和精度之间的平衡而更受欢迎。
This work is focused on the topology optimization related to harmonic responses for large-scale problems. A comparative study is made among mode displacement method (MDM), mode acceleration method (MAM) and full method (FM) to highlight their effectiveness. It is found that the MDM results in the unsatisfactory convergence due to the low accuracy of harmonic responses, while MAM and FM have a good accuracy and evidently favor the optimization convergence. Especially, the FM is of superiority in both accuracy and efficiency under the excitation at one specific frequency; MAM is preferable due to its balance between the computing efficiency and accuracy when multiple excitation frequencies are taken into account.