An improved adaptive response surface method for structural reliability analysis |
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Authors: | Ji Liu and Yun Li |
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Affiliation: | [1]School of Civil Engineering and Mechanics, Central South University of Forestry and Technology, Changsha 410004, China [2]College of Civil Engineering, Hunan City University, Yiyang 413000, China |
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Abstract: | The response surface method (RSM) is one of the main approaches for analyzing reliability problems with implicit performance
functions. An improved adaptive RSM based on uniform design (UD) and double weighted regression (DWR) was presented. In the
proposed method, the basic principle of the iteratively adaptive response surface method is applied. Uniform design is used
to sample the fitting points. And a double weighted regression system considering the distances from the fitting points to
the limit state surface and to the estimated design points is set to determine the coefficients of the response surface model.
Compared with the conventional approaches, the fitting points selected by UD are more representative, and a better approximation
in the key region is also observed with DWR. Numerical examples show that the proposed method has good convergent capability
and computational accuracy. |
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Keywords: | response surface structural reliability uniform design weighted regression |
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