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摘要
Aimed at the structural shape optimization of free-form space grid structures, the plant growth simulation algorithm (PGSA) is introduced to the field of structural shape optimization. Based on the basic principle of PGSA, the parallel growth mechanism of double growth points, the iterative stability judgment mechanism and the enhanced random multidirectional search mechanism are proposed. Then, combined with the so-called GSL&PS-PGSA algorithm (based on growth space limitation (GSL) and parallel search (PS)), a novel shape optimization method of space grid structures based on the integrated GSL&PS-PGSA is established. The generalized shape parameters are used to characterize the design variables for shape optimization, which can effectively avoid the generation of singular structures and improve the optimization efficiency. On this basis, the corresponding structural optimization model and process are given, and the optimization programs are compiled by MATLAB and the secondary development language APDL of ANSYS. The shape optimization of typical camber arch and free-form latticed shells are analyzed by the proposed method. The results show that the new PGSA mechanisms can significantly improve the searching ability and stability of the algorithm. In addition, the shape optimization method of free-form space grid structures based on the integrated GSL&PS-PGSA has obvious optimization effects. It can effectively explore rational structure forms and improve mechanical performance of the structure. The proposed shape optimization method can be applied to the shape optimization problems of large-scale free-form space grid structures with multiple variables, multiple load combinations and complex constraints, and provides a new approach for the design and form selection of complex space structures. ? 2022 Science Press.
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