|
| Topology optimization of continuum structures under multiple constraints |
| Received:October 08, 2008 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20105007 |
| KeyWord:buckling constraints displacement constraints stress constraints ICM method topology optimization |
| Author | Institution |
| 边炳传 |
泰山学院 应用科学技术系,泰安 |
| 隋允康 |
北京工业大学 机械工程与应用电子技术学院 工程数值模拟中心,北京 |
|
| Hits: 2140 |
| Download times: 1594 |
| Abstract: |
| In this paper, according to the ICM (Independent Continuous Mapping) method, the topology optimization model for the continuum structure was constructed. The model had the minimized weight as the objective function subjected to the buckling constraints displacement constraints and stress constraints. The continuous independent topological variables were used in this problem. Based on the Taylor expansion and the filtering function, the objective function was approximately expressed as a second-order expressions. Based on the Rayleigh quotient, the Taylor expansion and the filtering function the buckling constraints were approximately expressed as an explicit function. Based on the filter function, the displacement constraints are expressed approximately by Mohr theorem. Using the globalization method of stress constraints and the von Mises’ yield criterion in mechanics of materials, the local stress constraints were translated into the whole structure strain energy constraint. Thus the analysis quantity of the sensitivity was decreased. The optimization model was translated into a dual programming and solved by the sequence second-order programming. The number of the variable was reduced and the model’s scale was minified. Numerical examples show that this method can solve the topology optimization problem of continuum structures with the buckling and displacement constraints efficiently and give more reasonable structural topologies. |
|
|
|