ε-N曲线和P-ε-N曲线整体推断方法
Integral inference method for ε-N and P-ε-N curves
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摘要: 由于应变疲劳试验数据在lgΔεe-lgN(或lgΔεp-lgN)坐标系中呈现散点形式,并且疲劳寿命标准差随弹性分量和塑性分量减小而增大,所以无法通过成组试验法和同方差回归分析测定-εN曲线和P-ε-N曲线,目前采用的平均值法和Wissching方法均属于近似方法,存在较大误差。为此,本文采用异方差回归分析理论,建立了一种测定-εN曲线和P--εN曲线的整体推断方法,该方法能够将不同应变水平下的试验数据作为一个整体进行统计分析,可以很好地处理散点数据和异方差数据。在-εN曲线和P-ε-N曲线测试中,与传统方法相比,既可节省大量试件,又能有效地提高精度。Abstract: As the strain fatigue data scatter in lgΔεe-lgN or lgΔεp-lgN coordinates,and their standard deviation increases with reducing of elasticity and plasticity components,ε-N and P-ε-N curves cannot be obtained by group experiment method and homoscedasticity regression analysis method.The mean value method and Wissching method are commonly used in engineering.But they are both approximation methods with significant error.Therefore,an integral inference method for ε-N and P-ε-N curves is presented based on the heteroscedasticity regression analysis theory.It can analyze scattered and heteroscedastic data through treating all the experiment data in different strain levels as an integration.Compared with traditional methods,the presented method can not only save specimens,but also increase precision in ε-N and P-ε-N curve tests effectively.
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