串联结构体系可靠度的二元泰勒级数展开

本文给出串联结构体系可靠度的二元泰勒级数展开表达式，并给出有关一维无穷积分的数值解法。当用于计算串联结构体系的可靠度时，与一元泰勒级数展开式相比，计算效率大大提高，精度足以满足工程应用要求。特别是如果不考虑级数展开式中的二次修正项，则使结构体系可靠度的计算变得非常简单。

Bivariable taylor series expansion of series structural systems reliability

The bivariable Taylor series expansion of series structural systems reliability is presented and numerical method deal with infinite integnal in the expansion is developed. It is more effient than the single variable expansion when using the expansion of this paper to evaluate the reliability of series structural systems, and meeting the engineering accuracy requirement. It is more pratical and simpler if the Second Order term of the expansion is ignored.