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| Cooperative response surface method for structural reliability analysis based on Nataf transformation |
| Received:October 15, 2012 Revised:February 24, 2013 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx201402003 |
| KeyWord:reliability cooperative response surface method non-Gaussian random variable preconditioned stochastic Krylov subspace Nataf transformation |
| Author | Institution |
| 杨绿峰 |
广西大学 土木建筑工程学院 工程防灾与结构安全教育部重点实验室, 南宁 ;广西壮族自治区 住房和城乡建设厅, 南宁 |
| 杨显峰 |
广西大学 土木建筑工程学院 工程防灾与结构安全教育部重点实验室, 南宁 ;广州瀚华建筑设计有限公司, 广州 |
| 余波 |
广西大学 土木建筑工程学院 工程防灾与结构安全教育部重点实验室, 南宁 |
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| Abstract: |
| A novel vectorial cooperative response surface method (CRSM) for structural reliability analysis involving correlated non-Gaussian random variables was proposed based on the preconditioned stochastic Krylov subspace and the Nataf transformation in this paper,to extend the applicability of the existing SRSM and CRSM in non-Gaussian random variables.The preconditioned stochastic Krylov subspace was defined using the global stiffness matrix and force vector; the stochastic nodal displacement vector was expanded subsequently in the subspace to develop vectorial cooperative response surface hierarchically.The correlation coefficients of the independent standard normal random variables were determined by applying the Nataf transformation to the correlated non-Gaussian random variables.The collocation points selected from combinations of the roots of polynomial chaos of one-order higher than the order of the response surface were mapped into the non-Gaussian random variable space from the independent standard normal random variable space.Finally,the unknown coefficients of cooperative response surface were determined by solving the system of linear random algebraic equations.Two numerical examples show that the proposed method is of high accuracy,global applicability and fast convergence for structural reliability analysis involving correlated non-Gaussian random variables. |