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| An improved response surface method based on cross order reduction sampling |
| Received:December 30, 2021 Revised:February 13, 2022 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20211230002 |
| KeyWord:cross order reduction method response surface method deviation coefficient reliability index sampling point |
| Author | Institution |
| 夏雨 |
广西科技大学 土木建筑工程学院, 柳州 |
| 王叶明 |
广西科技大学 土木建筑工程学院, 柳州 |
| 余颖烨 |
广西科技大学 土木建筑工程学院, 柳州 |
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| Abstract: |
| Aiming at the problems of low computation accuracy and stability of classical response surface method and weighted response surface method,a new sampling point selection strategy is proposed and a new improved response surface method is developed based on cross order reduction.The sum of the mean point and half of the standard deviation is used as the initial iteration point.And the n-dimensional coordinate system is reduced to n one-dimensional coordinate systems on the basis of Bucher's method.Then,based on the importance of the sampling points,n+1 better sampling points near the true failure surface are selected and used to fit the linear response surface.Finally,the quotient of the distance between the two central points before and after the current time instant and the norm of the design point obtained in the previous iteration is used as its convergence criterion.Through five examples,it is verified that the cross-order reduction method has high accuracy,efficiency and stability,and this method can be applied in engineering. |
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