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摘要
For too large computation scale of Monte Carlo finite element method used in ultimate load-carrying capacity uncertainty analysis problem, response surface method with compactly supported radial basis functions was used as surrogate models of response and parameters to solve this problem. In four typical load cases, uncertainty problems of concrete filled steel tubular arch load carrying capacity were taken as examples, response surface method with augmented compactly supported radial basis functions was compared with traditional quadratic polynomial response surface method in response surface fitting accuracy and Monte Carlo simulation accuracy, and the influence of different radial basis functions, augmented reponse surface and design of experiment in load carrying capacity uncertainty problems were analyzed. The results show that the functions method with the augmented compactly supported radial basis has high precision and small sample points in load carrying capacity uncertainty problems, and it has higher response surface fitting accuracy and Monte Carlo simulation accuracy than those of the quadratic polynomial response surface method, and different compactly radial basis functions have no influence in this problems, the relative error of mean and standard deviation of linear polynomial augmented compactly supported radial basis functions is less than 1% compared with that of Monte Carlo finite element results, and uniform design and central composite design can take the experiment cost and result accuracy into account.
