Research on Topology Optimization of Damping Material Microstructures With Varied Volume Constraints

ZHANG Dongdong; LUAN Fuqiang; ZHAO Lihui; ZHENG Ling

doi:10.21656/1000-0887.420206

Volume 43 Issue 6

Jun. 2022

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Article Navigation > Applied Mathematics and Mechanics > 2022 > 43(6): 648-659

ZHANG Dongdong, LUAN Fuqiang, ZHAO Lihui, ZHENG Ling. Research on Topology Optimization of Damping Material Microstructures With Varied Volume Constraints[J]. Applied Mathematics and Mechanics, 2022, 43(6): 648-659. doi: 10.21656/1000-0887.420206

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Research on Topology Optimization of Damping Material Microstructures With Varied Volume Constraints

doi: 10.21656/1000-0887.420206

ZHANG Dongdong^{1, 2
,
,},
LUAN Fuqiang¹,
ZHAO Lihui^{1, 2},
ZHENG Ling³

1.
School of Mechanical Engineering, University of Shanghai for Science and Technology, Shanghai 200093, P.R.China
2.
Shanghai Technology Service Platform of Reliability Evaluation for New Energy Vehicles, Shanghai 200093, P.R.China
3.
College of Mechanical and Vehicle Engineering, Chongqing University, Chongqing 400044, P.R.China

Received Date: 2021-07-06
Rev Recd Date: 2021-11-27

Available Online: 2022-05-26

Publish Date: 2022-06-30

Abstract

Abstract

The vibration suppression performance of a damping composite structure depends on the material layout and the damping material properties. A topology optimization method was proposed for damping material microstructures with varied volume constraints, to obtain the damping material microstructure with desired properties under the smallest material consumption. Based on the homogenization method, a 3D finite element model for the damping material was established, and the effective elastic matrix of the damping material was formulated. The Hashin-Shtrikman bounds theory was used inversely to estimate the volume fraction bound of the damping material corresponding to the desired effective modulus, and a movement criterion for volume constraint bounds of damping materials was constructed. Then the optimization problem of achieving the desired properties of damping materials with microstructures was converted to another problem of maximizing the desired modulus under volume constraints, and a topology optimization model for the damping material microstructure was established. The optimality criteria method was employed to update the design variables, and the optimized topology configurations of damping material microstructures were obtained. The feasibility and effectiveness of the proposed method were verified with several numerical examples, and the influences of the initial configurations, the mesh density and Young’s modulus on the microstructure configurations of the damping material were also discussed.
- damping material,
- varied volume constraint,
- effective modulus,
- homogenization method,
- Hashin-Shtrikman bounds theory

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References(20)

References

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