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| Topological optimization of the continuum structure subjected to the buckling constraints with ICM method |
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| DOI：10.7511/jslx20083066 |
| KeyWord:ICM method,buckling constraints,topology optimization,filtering function |
| SUI Yun-kang BIAN Bing-chuan YE Hong-ling |
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| Abstract: |
| In this paper,according to the ICM(Independent Continuous Mapping) method,the topology optimization problem of continuum structures with the buckling constraints are solved.The topology optimization model for the continuum structure is constructed,which has the minimized weight as the objective function subjected to the buckling constraints.The continuous independent topological variables are used in this problem.Based on the Taylor expansion,the filtering function and the Rayleigh quotient,the objective function is approximately expressed as a second-order expressions and the buckling constraint is approximately expressed as an explicit function.Thus the analysis of the sensitivity is avoided.The optimization model is translated into a dual programming and solved by the sequence second-order programming.The number of the variable is reduced and the model's scale is minified.Finally,three examples are presented.They show that this method can solve the topology optimization problem of continuum structures with the buckling constraints efficiently and give more reasonable structural topologies. |
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