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Liu Hu, Zhang Weihong, Zhu Jihong. STRUCTURAL TOPOLOGY OPTIMIZATION AND FREQUENCY INFLUENCE ANALYSIS UNDER HARMONIC FORCE EXCITATIONS[J]. Chinese Journal of Theoretical and Applied Mechanics, 2013, 45(4): 588-597. DOI: 10.6052/0459-1879-12-253
Citation: Liu Hu, Zhang Weihong, Zhu Jihong. STRUCTURAL TOPOLOGY OPTIMIZATION AND FREQUENCY INFLUENCE ANALYSIS UNDER HARMONIC FORCE EXCITATIONS[J]. Chinese Journal of Theoretical and Applied Mechanics, 2013, 45(4): 588-597. DOI: 10.6052/0459-1879-12-253

STRUCTURAL TOPOLOGY OPTIMIZATION AND FREQUENCY INFLUENCE ANALYSIS UNDER HARMONIC FORCE EXCITATIONS

Funds: The project was supported by the National Natural Science Foundation of China (90916027, 51275424, 11002113, 11172236), the National Basic Research Program of China (2011CB610304), NPU Foundation for Fundamental Research (JC20120229) and the opening project (KFJJ13-6M) of State Key Laboratory of Explosion Science and Technology (Beijing Institute of Technology).
  • Received Date: September 18, 2012
  • Revised Date: April 24, 2013
  • In this paper, structural topology optimization is studied under harmonic force excitations. The displacement amplitude at the specified location of a structure is defined as the objective function subjected to the volume constraint. The displacement amplitude is calculated based on modal superposition method and the corresponding sensitivity analysis is derived. In order to avoid localized modes, the polynomial interpolation scheme is introduced to relate material properties to pseudo density variables. In the meantime, the influences of the excitation frequency and direction upon the displacement response are investigated and how the eigen-modes vary in the optimization process is highlighted. Topology optimization of structure under harmonic excitation with high frequency is specially analyzed. More constraints on the static displacements are applied to generate clear structural topology. Numerical optimization examples are finally solved to demonstrate the validity of the proposed optimization procedure.
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