| Advanced response surface method for mechanical reliability analysis |
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| 引用本文： | 吕震宙,赵洁,岳珠峰. Advanced response surface method for mechanical reliability analysis[J]. 应用数学和力学(英文版), 2007, 28(1): 19-26. DOI: 10.1007/s 10483-007-0103-x |
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| 作者姓名： | 吕震宙 赵洁 岳珠峰 |
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| 作者单位： | School of Aeronautics Northwestern Polytechnical University Xi'an 710072 P. R. China，School of Aeronautics Northwestern Polytechnical University Xi'an 710072 P. R. China，School of Aeronautics Northwestern Polytechnical University Xi'an 710072 P. R. China |
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| 基金项目： | 国家自然科学基金;教育部跨世纪优秀人才培养计划 |
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| 摘 要： | Based on the classical response surface method (RSM), a novel RSM using improved experimental points (EPs) is presented for reliability analysis. Two novel points are included in the presented method. One is the use of linear interpolation, from which the total EPs for determining the RS are selected to be closer to the actual failure surface; the other is the application of sequential linear interpolation to control the distance between the surrounding EPs and the center EP, by which the presented method can ensure that the RS fits the actual failure surface in the region of maximum likelihood as the center EPs converge to the actual most probable point (MPP). Since the fitting precision of the RS to the actual failure surface in the vicinity of the MPP, which has significant contribution to the probability of the failure surface being exceeded, is increased by the presented method, the precision of the failure probability calculated by RS is increased as well. Numerical examples illustrate the accuracy and efficiency of the presented method.
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| 关 键 词： | 失效概率 响应面法 可靠性分析 结构力学 |
| 收稿时间： | 2005-11-15 |
| 修稿时间： | 2006-10-30 |
Advanced response surface method for mechanical reliability analysis |
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| Zhen-zhou Lü,Jie Zhao,Zhu-feng Yue. Advanced response surface method for mechanical reliability analysis[J]. Applied Mathematics and Mechanics(English Edition), 2007, 28(1): 19-26. DOI: 10.1007/s 10483-007-0103-x |
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| Authors: | Zhen-zhou Lü Jie Zhao Zhu-feng Yue |
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| Affiliation: | School of Aeronautics, Northwestern Polytechnical University, Xi'an 710072, P. R. China |
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| Abstract: | Based on the classical response surface method (RSM), a novel RSM using improved experimental points (EPs) is presented for reliability analysis. Two novel points are included in the presented method. One is the use of linear interpolation, from which the total EPs for determining the RS are selected to be closer to the actual failure surface; the other is the application of sequential linear interpolation to control the distance between the surrounding EPs and the center EP, by which the presented method can ensure that the RS fits the actual failure surface in the region of maximum likelihood as the center EPs converge to the actual most probable point (MPP). Since the fitting precision of the RS to the actual failure surface in the vicinity of the MPP, which has significant contribution to the probability of the failure surface being exceeded, is increased by the presented method, the precision of the failure probability calculated by RS is increased as well. Numerical examples illustrate the accuracy and efficiency of the presented method. |
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| Keywords: | response surface method implicit limit state failure probability |
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