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Theoretical framework for estimating a product's reliability using a variable-amplitude loading spectrum and a stress-based approach

机译:使用可变振幅载荷谱和基于应力的方法估算产品可靠性的理论框架

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摘要

An innovative approach for predicting the reliability of a structure that is subject to a variable-amplitude dynamic load is presented. In this approach, a Gassner durability curve with its scatter is modelled using a 2-parametric Weibull's probability density function (PDF). The trend of the Gassner durability curve is modelled with a general hyperbola equation in a log-log scale. The hyperbola equation is applied to represent the durability curve for the 63.2% probability of fatigue failure that describes the dependency of the Weibull's scale parameter on the loading spectrum's maximum stress. Equations are derived to link the parameters of the hyperbola curve to the material's S-N curve and the loading spectrum. The Weibull's shape parameter is estimated from the scatter of the material's S-N curve. The proposed Gassner-curve model is applied to calculate the fatigue reliability from the PDF of the loading spectrum's maximum stress and the PDF of the durability-curve's amplitude stress for the selected number of loading-cycles-to-failure. Method for predicting reliability of the structures with a spectrum loading is presented. Durability curve and its scatter are modelled with a 2-parametric Weibull's PDF. Scale parameter of the Weibull's PDF is modelled using a general hyperbola equation. Reliability is calculated on the basis of the modelled durability curve with its scatter.
机译:提出了一种创新的方法,用于预测结构在可变振幅动态载荷下的可靠性。在这种方法中,使用2参数Weibull概率密度函数(PDF)对带有散布的Gassner耐久性曲线进行建模。用一般双曲线方程以对数-对数比例对Gassner耐久性曲线的趋势进行建模。应用双曲线方程表示疲劳失效概率为63.2%的耐久性曲线,该曲线描述了Weibull尺度参数对载荷谱最大应力的依赖性。导出方程,将双曲线的参数链接到材料的S-N曲线和载荷谱。威布尔的形状参数是根据材料的S-N曲线的散布估计的。拟议的Gassner曲线模型用于根据选定载荷循环次数至失效次数的载荷谱最大应力PDF和耐久性曲线振幅应力PDF来计算疲劳可靠性。提出了一种在频谱载荷下预测结构可靠性的方法。耐用性曲线及其分散性使用2参数的Weibull PDF建模。 Weibull PDF的比例参数使用通用双曲线方程建模。可靠性是根据建模的耐久性曲线及其散布来计算的。

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