基于Kriging模型和模拟退火粒子群算法的结构有限元模型修正

Structural Finite Element Model Modification Based on Kriging Model and Simulated Annealing Particle Swarm Optimization Algorithm

提出一种基于Kriging模型和模拟退火粒子群算法的结构模型修正方法.利用拉丁超立方对结构设计参数(不同杆件的密度)进行抽样,并代入有限元模型得到响应特征参数(频率),通过构建Kriging函数来拟合设计参数和特征参数之间关系.基于建立的Kriging函数模型,利用模拟退火粒子群算法优化设计参数,修正初始有限元模型.利用一空间桁架结构数值算例对所提方法进行了验证.结果表明,基于Kriging函数和模拟退火粒子群算法的结构有限元模型修正避免了反复调用有限元进行大量迭代运算,较快的收敛到全局最优解,提高了模型修正计算效率.

A structural model modification method based on Kriging model and simulated annealing particle swarm optimization algorithm was proposed. The Latin hypercube was used to sample the structural design parameters (density of different members) and the results were substituted into the finite element model to obtain the response characteristic parameters (frequency). Kriging function was constructed to fit the relationship between the design parameters and the characteristic parameters. Based on the established Kriging function model, the simulated annealing particle swarm optimization algorithm was used to optimize the design parameters and revise the initial finite element model. Then a numerical example of space truss structure was used to verify the proposed method. The results show that the structural finite element model modification based on Kriging function and simulated annealing particle swarm algorithm avoids repeatedly calling finite element to perform a large number of iterative operations, converges to the global optimal solution quickly, which improves the calculation efficiency of model modification.