| Citation: | HAO Baoxin, ZHOU Zhicheng, QU Guangji, et al. Comparison of determining methods and constraint schemes for geometric stability in truss topology optimization[J]. Journal of Beijing University of Aeronautics and Astronautics, 2019, 45(8): 1663-1673. doi: 10.13700/j.bh.1001-5965.2018.0624(in Chinese)
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To improve the accuracy of determining truss geometric stability and the practicability of truss topology optimization results, several ways of determining truss geometric stability were compared, and the validity of three schemes for guaranteeing truss geometric stability of topology optimization results were discussed. First, by comparing several ways to identify truss geometric stability through some illustrative tiny trusses, a simple procedure was outlined to evaluate truss geometric stability. Second, a unified semidefinite programming (SDP) formulation of the truss topology optimization problem was established for three kinds of constraints to address the geometric stability issue. Finally, three truss structures were optimized with the SDP formulation, and the geometric stabilities of the resultant trusses were evaluated by the given simple scheme to reveal the validity of the three kinds of constraints to guarantee geometric stability. The results show that considering additional loads or the global stability constraint cannot guarantee the geometric stability of the optimized trusses while the fundamental frequency constraint can do when the constraint values are reasonably chosen.
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