非线性功能函数可靠性分析的等效替代法
n Equivalent Substitution Method of Nonlinear Original-function Realiability Analysis
针对非线性程度较高的原始功能函数的可靠性分析,提出了一种获取线性功能函数等效替代原功能函数的方法。将由FORM获得的线性功能函数绕其上一点旋转一个角度,并使旋转后所得的直线与原功能函数在其上一点的切线重合,通过线性化点与FORM的相对位置,得到原始功能函数的失效区的等效替换。最后利用蒙特卡罗模拟法验证了本文方法具有较高的精度。
For the realiability analysis of original-function of high nonlinear extent,a method was proposed which bilinear function was equivalent to the primitive functions.The bilinear function by FORM was rotated a certain angle around one of its point,and made the straight line after the rotation coincides with the tangent of the point on the original function,the equivalent substitution of the faliure zone of original functions was received through comparing the relative position of linearization point and FORM.At last ,a validation which was conducted by Monte Carlo simulation proved that this method had a high accuracy.
董玉革、吴方应
数学工程基础科学
FORM失效概率线性功能函数等效替代
FORMFailure probabilityLinear limit state functionEquivalent substitution
董玉革,吴方应.非线性功能函数可靠性分析的等效替代法[EB/OL].(2014-05-22)[2025-08-23].http://www.paper.edu.cn/releasepaper/content/201405-370.点此复制
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