• CN:11-2187/TH
  • ISSN:0577-6686

›› 2014, Vol. 50 ›› Issue (16): 6-12.

• 论文 • 上一篇    下一篇



  1. 上海交通大学振动、冲击、噪声研究所; 上海交通大学机械系统与振动国家重点实验室
  • 发布日期:2014-08-20

Generalized FORM Based on the Generalized Rackwitz-Fiessler Method

ZHOU Shengtong; LI Hongguang   

  1. Institute of Vibration, Shock and Noise, Shanghai Jiao Tong University;State Key Laboratory of Mechanical System and Vibration, Shanghai Jiao Tong University
  • Published:2014-08-20

摘要: 传统Rackwitz-Fiessler方法是隐含Gaussian copula假设的,而传统一次可靠度方法要求在独立标准正态空间中计算。为此,基于椭圆copula族给出广义的Rackwitz-Fiessler(R-F)方法。广义R-F方法可实现随机矢量由物理随机空间至标准球空间的变换。为使一次可靠度方法适合于在标准球空间中计算,将一次可靠度指标在独立标准正态空间中的几何意义推广至标准球空间,即所谓的广义一次可靠度方法。算例表明:广义方法相对于传统方法具有更广的适用性;在条件充足的情况下,可得到更符合真实情况的失效概率。

关键词: 广义Rackwitz-Fiessler方法;高斯Copula假设;椭圆Copula假设;广义一次可靠度方法

Abstract: Gaussian copula hypothesis is used for the traditional Rackwtiz-Fiessler method; Meanwhile, the traditional reliability calculations in first order reliability methods(FORM) always have to be conducted in independent standard normal space. So the generalized Rackwitz-Fiessler method is presented based on the elliptical copula family. This generalized Rackwitz-Fiessler method can accomplish the transformation of random vector from physical random space to the standard spherical space. In order to make the FORM be suitable to this new standard spherical space, the geometrical interpretation of reliability index in independent standard normal space is extended to standard spherical space. Examples show that the generalized method is more applicable than traditional method, and the calculated failure probability is also closer to the real case under the sufficient dependence information.

Key words: generalized Rackwitz-Fiessler method;Gaussian copula hypothesis;elliptical copula hypothesis;generalized first order reliability method