基于等几何法和模拟退火的复杂壳结构分析及优化

Complex shell structure analysis and optimization based on isogeometric analysis and simulated annealing algorithm

本文提出了一种基于等几何法和模拟退火的壳结构分析及优化算法,旨在提高复杂壳结构的CAD与CAE一体化设计效率。首先基于NURBS技术对薄壳结构进行适分析参数化建模,然后基于Kirchhoff-Love壳理论实现等几何分析。接着,基于模拟退火算法以壳体的几何参数为设计变量,以多项力学性能为目标函数进行优化,实现了等几何分析与智能优化算法相结合的壳结构分析与优化。最后,通过2个算例验证了该算法的有效性。相对于传统有限元方法,该算法具有高精度、高效率的优势。

This paper proposed a shell structure analysis and optimization algorithm based on the isogeometric method and simulated annealing,aiming to enhance the efficiency of CAD and CAE integrated design for complex shell structures.Firstly,based on NURBS technology,the parametric modeling of the thin shell structure was carried out,and then the isogeometric analysis was realized based on the Kirchhoff-Love shell theory.Then,based on the simulated annealing algorithm,the geometric parameters of the shell served as the design variables,while multiple mechanical properties acted as the objective functions for optimization,thus realizing the integration of isogeometric analysis and intelligent optimization algorithm for shell structure analysis and optimization.Finally,the effectiveness of the algorithm was verified through two examples.Compared with traditional finite element methods,this algorithm has the advantages in precision and efficiency.