工程结构可靠度指标的计算方法

The Calculation Method of Reliability Index of Engineering Structures

利用验算点法(即JC法)求解可靠指标时,由于设计验算点与可靠指标之间的相互耦合、制约,给求解带来一定的难度。利用最大似然原理,在满足极限状态方程的条件下,提出了确定可靠性指标和验算点的最大似然方法,该方法相对比较简洁,求解速度快,能够满足目前工程上的需要。利用加权最小二乘法,提出了一种求解可靠性指标的新方法。通过文中给出的工程算例可以看出,方法在求解可靠性指标及与其相对应的验算点方面是可行的,大大简化了求解过程,避免了传统方法繁琐的迭代,新的可靠性指标更精确,更安全。

Because of the intercoordination and restriction between designing checking point and reliability index, it brings some difficulties to the reliability index for solution with checking point method （JC meth- od）. In the paper, the maximum likelihood method of determining the reliability index and the checking point is proposed with maximum likelihood theory under the condition of meeting limit state equation. This method is relatively simple and rapidly solution, it can meet the present engineering requirements. The method of solving reliability index is put forward by using the weighted least require method. Seen from the example in the paper, this method is feasible to solve reliability index and it＇s corresponding checking point. The solving process is simplified; the tedious iteration of traditional method is avoided. The reliabili- ty index of this paper is more precise and secure than the traditional method.