Grey filter functions for suppression of grey-scale elements |
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| Authors: | Tieping Wei Chuifu Chen Jinhui Yao Guofu Lian |
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| Affiliation: | 1. Department of Mechanical and Automotive Engineering, Fujian University of Technology, Fuzhou, People’s Republic of China;2. School of Mechanical Engineering and Automation, Fuzhou University, Fuzhou, People’s Republic of China;3. Department of Force Value Measurement, Fujian Province Institute of Metrology, Fuzhou, People’s Republic of China |
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| Abstract: | To solve the problem of the presence of grey-scale material in optimization results and improve convergence efficiency during the optimization procedure caused by those intermediate densities, three kinds of simpler filter functions were proposed for the variable density method according to S-curve models. First, the feasible range for the parameters of the filter functions was determined by studying Messerschmitt–Bölkow–Blohm beam with the solid isotropic micro-structure with the penalization (SIMP) method. Then, the filter functions were applied to three classic examples to verify their validity and feasibility. The results showed that higher convergence efficiency, clearer structure boundaries, and better feasible solutions were obtained compared with that without the filter function. Finally, the filter functions were also compared with one existing method to demonstrate its effectiveness and validity. |
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| Keywords: | Topology optimization variable density grey-scale element filter function |
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