Improved stochastic response surface method based on stepwise regression analysis
Received:September 02, 2011  Revised:September 03, 2012
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KeyWord:stochastic response surface method  Nataf transformation  stepwise regression  linear independent criterion
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
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
李朝阳 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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      An improved stochastic response surface method was proposed based on the stepwise regression analysis.The correlated random variables given the marginal cumulative distribution function were transformed into the independent standard normal variables according to the Nataf transformation,while the stochastic response of complex structure was expressed as the polynomial chaos expansion of independent standard normal variables.The optimal probabilistic collocation points were selected based on the linear independent criterion and the insignificant expansion terms were eliminated efficiently by the stepwise regression analysis.The numerical results show that the proposed method can reduce the probabilistic collocation points and unknown coefficients of polynomial expansion significantly on the condition of ensuring calculation accuracy.