| 谢金标,姚卫星*.建立P-S-N曲线的双加权最小二乘法[J].实验力学,2010,25(5):611~616 |
| 建立P-S-N曲线的双加权最小二乘法 |
| Double Weighted Least Square Method for P-S-N Curve Regression |
| 投稿时间：2010-01-08 修订日期：2010-04-23 |
| DOI： |
| 中文关键词: 三参数P-S-N曲线 疲劳寿命 疲劳强度 置信区间长度 最小二乘法 |
| 英文关键词:three parameters of P-S-N curve fatigue life fatigue strength length of confidence interval least square method |
| 基金项目:611所航空基金 |
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| 中文摘要: |
| 为充分利用成组疲劳试验数据和疲劳强度试验数据，获得较高精度的P-S-N曲线，提出了一种建立P-S-N曲线的双加权最小二乘法。该方法充分考虑了疲劳试验方法、疲劳试验数据分散性和试件样本容量对P-S-N曲线建立的影响，构建了不同来源误差的分配模型。它首先利用疲劳试验的最小样本容量判据处理成组试验数据，导出试验数据分布p分位点的置信区间长度，并进行第一次加权拟合。再结合疲劳强度试验数据，进行第二次加权拟合，推导出了任意可靠度下的P-S-N曲线。作者对17组金属材料和PMMA (聚甲基丙烯酸甲酯)材料进行了统计分析以验证所建立的P-S-N曲线的拟合能力、合理性和预测精度，结果表明建立的P-S-N曲线具有较高的精度和可信度。 |
| 英文摘要: |
| In order to take full advantage of fatigue data from both the group test and the staircase test and thus to get P-S-N curve with higher precision, a P-S-N curve regression approach was proposed based on double weighted least square method. In this approach, taking into account the effect of fatigue experiment method, experimental fatigue data scatteration and sample size on P-S-N curve, an allocation model for different error sources was founded. Firstly, the minimum sample size criterion was used to process the group experimental data, resulting in the length of the confidence interval of any percentile point for the data distribution, which was utilized to carry out the first weighted fitting. Secondly, the staircase test data were taken into account to implement the second weighted fitting, and finally the P-S-N curve at any reliability level was obtained. Seventeen groups of experimental data of metals and PMMA were employed to verify the ability, rationality and accuracy of prediction for present method. It is shown that the established P-S-N curves have higher accuracy and credibility. |
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