用考虑置信区间长度影响的最小二乘法拟合S-N曲线

杨晓华,金平,姚卫星

中国工程科学 ›› 2004, Vol. 6 ›› Issue (4) : 41 -43.

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中国工程科学 ›› 2004, Vol. 6 ›› Issue (4) : 41 -43.
学术论文

用考虑置信区间长度影响的最小二乘法拟合S-N曲线

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The S-N Curve Fitted by the Least Square Method Considering the Effect of Length of the Confidence Interval

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摘要

S-N曲线是用名义应力法预测结构疲劳寿命的基础。基于试验疲劳寿命分散的物理机制,提出了一个S-N曲线试验数据处理的加权最小二乘法,此方法中每组数据的权重与该组数据的置信区间成反比。计算结果表明用考虑置信区间长度影响的最小二乘法拟合得到的S-N曲线比用一般最小二乘法得到的S-N曲线具有更高的可靠度,给出的寿命预测结果也更安全。

Abstract

The S-N curve is the base of calculating fatigue structural life. Founding on physical mechanism, this paper presents a weighted least square method in which the weigh of a group of test data is inversely proportional to the length of the confidence interval. The calculating results show that the S-N curve which is gained by the least square method considering the effect of length of the confidence interval is more reliable and secure than the S-N curve which is gained by general least square method.

关键词

置信区间 / 疲劳寿命 / 最小二乘法 / S-N曲线

Key words

confidence interval / fatigue life / least square method / S-N curve

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杨晓华,金平,姚卫星 用考虑置信区间长度影响的最小二乘法拟合S-N曲线[J]. 中国工程科学, 2004, 6(4): 41-43 DOI:

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