Advanced Response Surface Method for Mechanical Reliability Analysis

LÜ Zhen-zhou; ZHAO Jie; YUE Zhu-feng

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Article Navigation > Applied Mathematics and Mechanics > 2007 > 28(1): 17-24

LÜ Zhen-zhou, ZHAO Jie, YUE Zhu-feng. Advanced Response Surface Method for Mechanical Reliability Analysis[J]. Applied Mathematics and Mechanics, 2007, 28(1): 17-24.

Citation:

LÜ Zhen-zhou, ZHAO Jie, YUE Zhu-feng. Advanced Response Surface Method for Mechanical Reliability Analysis[J]. Applied Mathematics and Mechanics, 2007, 28(1): 17-24.

Citation:

LÜ Zhen-zhou, ZHAO Jie, YUE Zhu-feng. Advanced Response Surface Method for Mechanical Reliability Analysis[J]. Applied Mathematics and Mechanics, 2007, 28(1): 17-24.

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Advanced Response Surface Method for Mechanical Reliability Analysis

School of Aeronautics, Northwestern Polytechnical University, Xi'an 710072, P. R. China

Received Date: 2005-11-15
Rev Recd Date: 2006-10-30
Publish Date: 2007-01-15

Abstract

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 converging 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.
- response surface method,
- implicit limit state,
- failure probability

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References(24)

References

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