机械可靠性分析的高精度响应面法

吕震宙; 赵洁; 岳珠峰

机械可靠性分析的高精度响应面法

西北工业大学航空学院,西安 710072

基金项目: 国家自然科学基金资助项目(10572117);新世纪优秀人才支持计划资助项目(NCET-05-0868)

详细信息

作者简介:
吕震宙(1966- ),女,湖北黄石人,教授,博士生导师(E-mail:zhenzhoulu@nwpu.edu.cn).

中图分类号: TB114.3
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- 被引次数: 0
出版历程
- 收稿日期: 2005-11-15
- 修回日期: 2006-10-30
- 刊出日期: 2007-01-15

Advanced Response Surface Method for Mechanical Reliability Analysis

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

摘要

摘要: 通过对已有可靠性分析中的响应面法的研究，提出了一种高精度的响应面法，该方法通过迭代线性插值的策略，来保证确定响应面的抽样点比经典的响应面法更接近真实的极限状态方程，并且该方法通过序列线性插值的方法来控制抽样点与插值中心点的距离，保证随着插值中心点收敛于真实设计点，抽样点提供更多的关于设计点附近真实极限状态方程的信息，进而保证了收敛的响应面能够在设计点附近更好地拟合真实的极限状态方程，并得到高精度的失效概率计算结果．算例充分说明了所提方法的合理性与适用性．
- 响应面法 /
- 隐式极限状态 /
- 失效概率
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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参考文献(24)

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