【作者】 周道成； 段忠东； 欧进萍；

【Author】 Zhou Daocheng Duan Zhongdong Ou Jinping (School of Civil Engineering, Harbin Institute of Technology, Harbin 150090, China)

【机构】 哈尔滨工业大学土木工程学院；

【摘要】 针对经典JC法不能求解隐式功能函数的问题,提出了改进的一次二阶矩方法.改进方法采用差分法求偏导数,将迭代过程中验算点的功能函数值考虑到可靠指标求解中,使其更符合实际情况.通过对该方法计算过程推导和几何意义分析,可知该方法计算过程简单、物理意义明确,同时算例表明该方法计算效率高,计算精度高,能合理考虑材料非线性对功能函数影响的可靠指标计算问题.因此本方法更加完善了一次二阶矩方法,拓展了其应用前景.更多还原

【Abstract】 Since the method of JC for reliability index cannot apply to the inexplicit performance function, an improved primary second moment method for reliability index without explicit performance function is presented. The difference method is applied to calculate partial derivatives of performance function and the performance function value of confirmatory calculating point in iterating is added into the improved method based on the primary second moment method. Deduction and geometric meaning analysis of the method indicate that its calculating process is simple and its physical meaning is obvious. The examples indicate that its calculating efficiency and precision are fine, and the influence of material non-linearity on performance function can be taken into account. This method perfects primary second moment method and extends its field of application.更多还原