Topology Optimization Design of Heat Convection Problems With Variable-Density Cells

WANG Qin; LIU Liyang; QIANG Bo; WEI Yanqiang

doi:10.21656/1000-0887.430383

Volume 44 Issue 9

Sep. 2023

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Article Navigation > Applied Mathematics and Mechanics > 2023 > 44(9): 1134-1144

WANG Qin, LIU Liyang, QIANG Bo, WEI Yanqiang. Topology Optimization Design of Heat Convection Problems With Variable-Density Cells[J]. Applied Mathematics and Mechanics, 2023, 44(9): 1134-1144. doi: 10.21656/1000-0887.430383

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Topology Optimization Design of Heat Convection Problems With Variable-Density Cells

doi: 10.21656/1000-0887.430383

Shenyang Aircraft Design & Research Institue, Shenyang 110035, P.R.China

Received Date: 2022-11-29
Rev Recd Date: 2023-09-13
Publish Date: 2023-09-01

Abstract

Abstract

The method of designing cell structures with variable-density cells based on erode-dilate operators was applied to the optimization of thermal structures. A series of variable-density microstructures with the same topology definition but different volume fractions were obtained with erode-dilate operators. Then, the thermal conductivity of the variable-density cells was extracted and the equivalent thermal conductivity fitting curve was obtained. After this, the method of moving asymptotes was used to update macro design variables, and the variable-density microstructure was implanted into the macroscopic unit of the corresponding volume fraction to complete the assembly. Numerical examples were given to compare and analyze the thermal compliance, the mean temperature, the variance and other parameters of the temperature fields with different optimization methods. The results show that, variable-density cell structures have better heat dissipating performance than traditional single-scale cell structures and periodic cell structures.
- topology optimization,
- variable-density cell,
- erode-dilate operator,
- asymptotic homogenization method,
- heat convection problem

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References(32)

References

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