| Citation: | REN Yiru, XIANG Jianhui, HE Jie, et al. Topology optimization of cantilever structure with self-weight load based on guide-weight method[J]. Journal of Beijing University of Aeronautics and Astronautics, 2021, 47(7): 1338-1344. doi: 10.13700/j.bh.1001-5965.2020.0191(in Chinese)
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Aiming at the problem of non-convergence of the material distribution at the end of the cantilever beam structure under self-weight load, a topology optimization method for the cantilever beam structure under self-weight load is proposed to solve the problem. According to the principle of virtual work equal, the load equivalent method was established by the relationship among the shape function of the four-node rectangular element, the unit volume density and the mass. According to the Kuhn-Tucker condition of the optimization model, the guide-weight criterion was derived, the sensitivity formula of the objective function was obtained, and the iterative formula considering the topology optimization of the self-weight load was derived. Aimed at the problem of ambiguity of material distribution in the end region of the topological optimization of a cantilever beam structure under self-weight load, a solution strategy combining variable density method and non-structural mass was studied, and the influence of typical factors on the topological structure was revealed. The results show that this method can solve the problem of fuzzy material distribution at the end of a cantilever beam under self-weight.
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