结构可靠性分析的支持向量机分类迭代算法

针对结构隐式极限状态函数的可靠性分析，提出了一种支持向量机分类迭代算法。该算法以分类支持向量机来替代隐式极限状态方程，通过构造合理的迭代格式，使得分类支持向量机在对失效概率贡献大的区域收敛于真实的极限状态方程，从而提高了可靠性分析的精度。给出了所提算法的详细步骤，并且用多个算例验证了所提算法的可行性及效率。

Iterative Algorithm for Structure Reliability Analysis Based on Support Vector Classification Method

For reliability analysis of structure with implicit limit state function, an iterative algorithm was presented on the basis of support vector classification machine. In the presented method, the support vector classification machine was employed to construct surrogate of the implicit limit state function. By means of the rational iteration, the constructed support vector classification machine can converge to the actual limit state function at the important region, which contributed to the failure probability significantly, and then the precision of the reliability analysis was improved. The implementation of the presented method is given in detail, and the feasibility and the efficiency are demonstrated by the illustrations.