基于Kriging模型的结构耐撞性优化

提出了基于Kriging模型的耐撞性优化方法。首先就Kriging模型的构造方法及其精度评估问题进行了讨论;然后,以薄壁管为研究对象,采用瞬态非线性有限元分析程序作为计算核心,以薄壁圆管的直径和壁厚为优化变量,以最大撞击载荷为目标函数,薄壁管的最大压缩量等作为约束函数,构造了基于Kriging模型的全局近似函数来逼近真实的优化目标函数与约束函数;随后,提出了提高全局近似函数精度的Kriging模型更新方法,改进了优化设计分析流程;最后,在所构造的全局近似函数的基础上,采用遗传算法进行优化分析。算例分析结果表明,该方法构造的最大撞击载荷与最大压缩量的全局近似函数在最优解处与真实解非常吻合,说明了Kriging模型的有效性。

Crashworthiness Optimization Based on Kriging Metamodeling

A crashworthiness optimization method based on Kriging metamodeling is proposed. Construction of the Kriging metamodeling method and its evaluation of the accuracy criteria are discussed firstly. Transient nonlinear finite element method is employed to model the crush process of thin walled tube. Secondly, radius and thickness of the tube are defined as independent design variables and the global approximation model is built based on Kriging metamodling with the maximum impact load and the maximum crush length defined as optimal object and constraints function respectively. Then, an updating strategy of Kriging metamodeling is introduced to improve accuracy of the global approximation and the optimization process is introduced too. Finally, both object and constraint functions obtained through global approximation model are coupled with genetic algorithms to perform the objective optimization.