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| Reciprocal programming method for structural lightweight topology optimization with local performance constraints |
| Received:May 15, 2021 Revised:June 14, 2021 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20210515409 |
| KeyWord:local performance constraints blending method reciprocal programming partition method globalization method integration method structural topology optimization ICM(Independent, Continuous and Mapping) method |
| Author | Institution |
| 隋允康 |
北京工业大学 材料与制造学部, 北京 |
| 彭细荣 |
湖南城市学院 土木工程学院, 益阳 |
| 叶红玲 |
北京工业大学 材料与制造学部, 北京 |
| 李宗翰 |
北京工业大学 材料与制造学部, 北京 |
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| Abstract: |
| The structural topology optimization problem targeting the local performance constraints on stress and fatigue is summarized as three kinds of solutions:partition, globalization and integration methods, and three blending optimization methods. Fatigue life conditions are derived by analogy with stress constraints;one is full fatigue formula;the other is the concept of structural life with the globalization of fatigue life constraints and corresponding solutions. Under the concept of reverse life, the specification of fatigue life constraint and stress constraint is unified. The existing methods solving local performance constraint problems are supplemented. Three kinds of methods belong to the single objective model, which are partition, globalization and integration methods. Based on Theorem 2 of the reciprocal programming theory, three blending optimization methods are proposed, which are alternating iteration of single-objective and multi-objective models. They are partition-integration, globalization-integration and integration-integration blending optimization respectively. The above six methods are all modeled based on the ICM method. The numerical example shows that the proposed blending optimization methods can improve the solution efficiency. |
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