考虑承载面最大位移约束的结构拓扑优化方法

doi:10.7527/S1000-6893.2019.23577

Abstract

Abstract: In practical engineering problems, there exists a class of engineering structures sustaining distributed force. To satisfy the requirement of the stiffness design for this kind of structure, a new topological design formulation is proposed to restrict the deflection on the load-bearing surface. The KS aggregation function is applied to integrate a mass of the displacement constraints on load-bearing surface into one single constraint. The corresponding adjoin equation and sensitivity expressions are conducted. Following the construction of the independent continuous mapping method, the explicit expressions of the objective function and constraint function are obtained by first-order and second-order Taylor expansion. Consequently, the optimization problem is transformed into a series of standard quadratic programs, which can be solved efficiently and robustly using the sequential quadratic programming. The feasibility and effectiveness of the proposed method are then verified by 2D and 3D numerical examples. The optimized results clearly demonstrate that the proposed formulation and corresponding optimization algorithm can effectively control the maximum deflection of local region.

Key words: topology optimization, continuum structure, maximum displacement constraint, independent continuous mapping method, sequential quadratic programming

CLC Number:

LONG Kai, CHEN Zhuo, GU Chunlu, WANG Xuan. Structural topology optimization method with maximum displacement constraint on load-bearing surface[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2020, 41(7): 223577-223577.

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Structural topology optimization method with maximum displacement constraint on load-bearing surface

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