JC法在结构可靠度计算中的改进和应用

Improvement and application of the JC method in calculating structural reliability

运用JC法求解结构可靠指标.综述适用于不同结构可靠度计算的各种改进JC法:改进可靠指标初始值的设定方法求解线性结构,以保证迭代的收敛性并提高收敛速度;将JC法与数值方法相结合,解决非线性隐式功能函数的结构可靠度问题———采用差分法求随机变量的偏导数、用线性逼近法代替解非线性方程的常规代数方法求可靠指标,突破用JC法求解结构可靠指标必须具有显式功能函数的限制;在结构抗力中引入时间参数t,将JC法的应用范围拓展到时变结构.研究表明:在一般工程结构的可靠度计算问题都能采用不同的JC法改进方法来解决.参10.

The JC method was adopted to solve structural reliability indexes. Improved JC methods for calculating indexes of different structures were summed up. Three main improved methods were recommended for common structures： the way of setting structural initial index was proposed for linear structures to improve the convergence and efficiency in iteration; combined the JC Method with some numerical methods for the reliability analysis of the non - linear structures whose performance functions could not be expressed in explicit forms, such as differential method was used to replace variable derivatives and linear asymptotic method for acquiring the solution of the limit state function. By introducing the parameter of time “t”, the appliance of the JC method was extended to time - variant field. The reliability problems of common engineering structures can be solved with improved JC methods by the work of the paper,10refs.