点可靠度计算方法进展

Development of Computation Method for Structural Point Reliability

详细阐述了结构点可靠度计算方法 ,对改进的一次二阶矩法、JC法、几何法、高次高阶矩法、响应面法、蒙特卡洛法、随机有限元法等方法进行了分析。结果表明 :对于极限状态方程线性或非线性程度不高的简单结构 ,用一次二阶矩法计算可靠度足以满足要求 ,且简单易行。对于大型复杂结构 ,其功能函数一般不能显示表达 ,大多是非线性的高次方程 ,应用响应面法、蒙特卡洛法。

Computation method for structural point reliability is described in detail and analysis on improved simple second moment method,JC method,geometric method,high order moment method,response surface method,Monte Carlo method and stochastic finite element method are conducted.The analysis results show that reliability of simple structure with limiting state linear equation or low non-linear equation can be easily computed by simple second moment method and reliability of large sized complicated structure with non linear high order equation and the functions normally not expressed can be preferably computed by response surface method,Monte Carlo method,stochastic finite element method.