求解隐式功能函数可靠度的一种新方法  

A new method for reliability problem without explicit performance function

作　　者：张小庆[1] 康海贵[1] 王复明[2] 

机构地区：[1]大连理工大学土木工程系,辽宁大连116024 [2]郑州大学环境与水利学院,河南郑州450002

出　　处：《大连理工大学学报》2003年第5期650-653,共4页Journal of Dalian University of Technology

摘　　要：实际工程可靠度分析中,经常遇到功能函数没有明确表达式的情况,响应面法是求解此类问题的一种有效方法.为解决响应面法需要用近似的二次曲面来模拟实际极限状态曲面的难题,以数值算法为基础,提出了一种新的方法,此方法不需进行极限状态曲面的模拟,而是在真正的极限状态面上进行求解.此方法计算过程简单,计算结果精度高,收敛快,尤其适合于大型工程结构的可靠度分析,并且可以很方便地扩展到二次二阶矩等其他可靠度求解方法中.In the analysis of structural reliability, response surface method is an efficient method to solve this problem that performance function has no explicit expression. However, in this method real limit state function simulated by a second order surface is required. A new method, in which the calculation is performed on the real limit state surface instead of the approximated response surface, is proposed. This method, being very simple and efficient, is adapted to the reliability analysis of large structure and can be extended to other reliability methods, such as the secondorder reliability methods.

关 键 词：工程结构 可靠度分析 隐式功能函数 响应面法 数值算法 极限状态曲面 

分 类 号：TU311.2[建筑科学—结构工程]