Improved strategy based on the variable density method for continuum structural topology optimization
ObjectiveTo effectively address numerical instabilities and enhance optimization performance for achieving desirable results in continuum structural topology optimization problems, an improved strategy based on the variable density method is proposed.MethodsFirstly, in response to the limitations of...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | zho |
| Published: |
Editorial Office of Journal of Mechanical Strength
2025-01-01
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| Series: | Jixie qiangdu |
| Subjects: | |
| Online Access: | http://www.jxqd.net.cn/thesisDetails?columnId=104517794&Fpath=home&index=0 |
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| Summary: | ObjectiveTo effectively address numerical instabilities and enhance optimization performance for achieving desirable results in continuum structural topology optimization problems, an improved strategy based on the variable density method is proposed.MethodsFirstly, in response to the limitations of the solid isotropic material with penalization (SIMP) model and the rational approximation material properties (RAMP) model in terms of penalty efficiency and convergence speed, an improved interpolation model was proposed. Secondly, the Sigmund sensitivity filtering method was employed to eliminate checkerboard patterns and mesh dependency phenomena. Finally, a grayscale suppression operator was designed and integrated into the optimality criterion (OC) method for updating design variables.ResultsNumerical studies have demonstrated that this scheme not only improves penalty efficiency and accelerates convergence speed but also eliminates completely grayscale elements, resulting in optimized structures with clear boundaries. |
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| ISSN: | 1001-9669 |