Differential Modeling Method and Applications in Fatigue Reliability Research
微分建模法及其在疲劳可靠性研究中的应用

As a large number of problems in engineering can be described by differential equations, differential modeling methods are introduced. The kernel of the matter is that using differential equations describe physical phenomena directly, at the same time, coefficients of differential equation are identified by a approximate difference formula. Proposed method has been applied to estimate parameters of three-parameters Weibull distribution and to research fatigue properties that includes fitting of the fatigue properties S-N curve, low cycle fatigue properties curve and fatigue crack propagation a-N curve. The results indicate that it has high accuracy and low cost. It offers a new tool to modeling and data analyses in engineering.