基于Kriging代理模型的锥柱形膜片屈曲载荷计算

Buckling load computation of spherical-cone diaphragms based on Kriging metamodel

基于Kriging代理模型,建立了一种考虑膜片半径与厚度、锥段高度与角度等典型结构特征的计算屈曲载荷的工程方法,并选取典型样本点对模型进行了数值验证.结果表明:基于Cubic相关函数建立的Kriging代理模型预测未知样本点屈曲载荷误差控制在5%以内,较常用的Gauss相关函数更适合建立锥柱形膜片屈曲载荷的Kriging代理模型;此代理模型能准确计算未知样本点的屈曲载荷,减少了繁杂的有限元建模与计算过程;根据设定的屈曲载荷,代理模型可计算各典型特征的参数值,并可作为锥柱形膜片结构优化设计的约束函数或目标函数.

Regarding typical structural characteristics of radius and thickness of diaphragms, height and angle of cone section, a method was built to compute the buckling load of diaphragms based on Kriging metamodel. The Kriging metamodel was validated by typical samples. Research results show that： for the Kriging metamodel based on Cubic correlation function, the error percentage to compute buckling loads at untried inputs is less than 5 %, more suitable for computing the buckling loads of spherical-cone diaphragms than that based on Gauss correlation function; the metamodel could precisely compute buckling loads at untried inputs, without need of modeling and simulation by finite element method; the metamodel could compute parameter values of typical structural characteristics according to a set buckling load, and also could be used as bound function or object function for structural optimization design of spherical-cone diaphragms.