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| Topological optimization of continuum structure with static displacement and frequency constraints by ICM method |
| Revised:June 29, 2004 |
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| DOI：10.7511/jslx20064074 |
| KeyWord:continuum structure,topological optimization,displacement constraints,frequency constraints |
| PENG Xi-rong SUI Yun-kang |
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| Abstract: |
| The topological optimization model of continuum structure that minimizes weight and subjects to static displacement and frequency constraints is established by ICM method.Continuous topological variables independent of cross-sectional or shape variables are adopted.Based on the filter function,the displacement constraints are expressed approximately by Mohr theorem.By differentiating the Rayleigh quotient with respect to design variables,the frequency constraints are expressed approximately by the modal elastic energy and kinetic energy of structure.Adopting image-filtering method,checkerboard patterns and mesh dependence problems are eliminated.Local modal problems are solved by constructing a suitable set of filter functions.By adding additional frequency constraints into optimization model to prevent modal switch from occurring,the oscillation is eliminated during the process of optimization.Several numerical examples reveal that it is convenient for dealing with multi-displacement and multi-frequency constraints and is also convenient for solving local modal and modal switch problems to establish optimization model by ICM method. |
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