Optimization of stiffened shell structures with stability objective/constraint based on kriging surrogate model and the explicit FEM

摘要

In this paper, a parametric model of a stiffened shell is built with Python language in Abaqus. The explicit FEM is used as an analysis tool in the optimal design of stiffened shell structures. The skin thickness and stiffener size are designed and optimized. The optimization contains two strategies: one is to obtain the minimum mass subjected to the structural performance, and the other is to obtain the high structural performance subject to the mass. In spite of the advantages of computer capacity and speed, the enormous computational cost of complex simulations makes it impractical to rely exclusively on simulation codes for the purpose of design optimization. To solve this problem, a surrogate model is built employing the experimental design and Kriging model, constructing the relationship between variables and standard deviation of the objective, reduced the computing time of uncertainty analysis in optimization to improve computing efficiency.