Abstract
Structural topological optimization is to seek the best path of transmitting forces for structures. The topological optimization under multiple loading cases involves the balance of many paths of transmitting forces. Based on the Independent Continuous Mapping (ICM) method, the optimization problem under multiple loading cases is solved under three conditions, namely local constraints, global constraints, and their combination. In this paper, local constraints are firstly analyzed by envelope method and average method. Secondly, global constraints are uniformly calculated with mathematical programming (MP). Thirdly, local and global constraints are processed by synthesizing above two methods. Finally, the results are compared. From the present numerical examples, it is shown that the envelope method and the MP or their combination can be used to efficiently model and accurately simulate the topological optimization problem under multiple loading cases.
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Sui, Y., Du, J., Guo, Y. (2006). TOPOLOGICAL OPTIMIZATION OF FRAME STRUCTURES UNDER MULTIPLE LOADING CASES$^*$. In: LIU, G., TAN, V., HAN, X. (eds) Computational Methods. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-3953-9_2
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DOI: https://doi.org/10.1007/978-1-4020-3953-9_2
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