Journal of South China University of Technology (Natural Science Edition) ›› 2009, Vol. 37 ›› Issue (9): 13-17，23.

• Architecture & Civil Engineering • Previous Articles     Next Articles

Neumann-Expansion Response Surface Method for Calculating Structure Reliability

Su Cheng 1.2  Li Peng-fei3  Han Da-jian 1.2   

  1. 1. School of Civil Engineering and Transportation, South China University of Technology, Guangzhou 510640, Gnangdong, China; 2. State Key Laboratory of Subtropical Building Science, South China University of Technology, Guangzhou 510640, Guangdong, China; 3. Guangdong Provincial Academy of Building Research, Guangzhou 510500, Guangdong, China
  • Received:2008-06-30 Revised:2009-01-19 Online:2009-09-25 Published:2009-09-25
  • Contact: 苏成（1968-），教授，博士生导师，主要从事结构工程与桥梁工程研究． E-mail:cvchsu@scut．edu．cn
  • About author:苏成（1968-），教授，博士生导师，主要从事结构工程与桥梁工程研究．
  • Supported by:

    国家科技支撑计划子课题（2006BAJ01B07）;华南理工大学亚热带建筑科学国家重点实验室资助课题（2008ZC21）

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Abstract:

When structure performance functions can not be explicitly expressed as the analytical expressions of random variables,the response surface method（RSM） becomes effective in reliability analysis.However,RSM is of low efficiency because it requires multiple determinate finite-element numerical tests.In order to solve this pro-blem,an improved RSM,namely the Neumann-expansion response surface method（NERSM）,is proposed.In this method,the computation time of finite-element numerical tests is effectively shortened by introducing the Neumann series expansion, thus improving the computation efficiency. Numerical examples show that, as compared with the conventional RSM, the NERSM is of higher computation efficiency without reducing the computation accuracy when the scale of the structure stiffness matrix becomes larger.

Key words: structure reliability, response surface method, finite element method, Neumann series expansion