An ICM Method for Topology Optimization Based on Polished Inverse Mapping

TIE Jun; YE Hongling; PENG Xirong

doi:10.21656/1000-0887.380052

Volume 39 Issue 4

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TIE Jun, YE Hongling, PENG Xirong. An ICM Method for Topology Optimization Based on Polished Inverse Mapping[J]. Applied Mathematics and Mechanics, 2018, 39(4): 424-441. doi: 10.21656/1000-0887.380052

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An ICM Method for Topology Optimization Based on Polished Inverse Mapping

doi: 10.21656/1000-0887.380052

¹School of Polytechnic, Tianjin University of Finance and Economics, Tianjin 300222, P.R.China; ²College of Mechanical Engineering and Applied Electronics Technology, Beijing University of Technology, Beijing 100124, P.R.China;³College of Civil Engineering, Hunan City University, Yiyang, Hunan 413000, P.R.China

Funds: The National Natural Science Foundation of China(11672103)

Received Date: 2017-03-08
Rev Recd Date: 2017-05-31
Publish Date: 2018-04-15

Abstract

Abstract

The polish mapping and the filter mapping in the ICM (independent continuous mapping) method for topology optimization were extended, and the composite function was used to coordinate the filter function. Due to the superposed discrete effects of composite functions, the composite function of the power function and the sine function was introduced to identify the presence and absence of the elements. The ICM method was used to establish the topology optimization model for the continuum structure with the minimum weight under the displacement constraints, which was solved with the exact dual algorithm of the quadratic programming. Then based on the dynamic inversion strategy, the rational inversion function was constructed with the optimal threshold to obtain the most strict discrete solution. Moreover, the 2-stage ‘discrete-continuous’ and ‘continuous-discrete’ solution method was established for topology optimization. Moreover, a calculator program was developed and compiled based on the MATLAB according to this new method. The results show that the proposed method has the advantages of higher computational efficiency, less optimal gray values and less structural weight after inversion, and gives a more reasonable structural topology.
- topology optimization,
- ICM method,
- polished inverse mapping,
- superposed discrete effect,
- composite filter function,
- displacement constraint

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References(29)

References

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