Intelligent Fatigue Statistics

This book introduces the principles and theories of fatigue statistics and presents the Zhentong Gao method along with its practical applications.

Fatigue in metal components is a complex phenomenon and an important issue because the fatigue life of key components often determines the overall lifespan of the aircraft. The book provides an overview and analysis of existing fatigue life calculation and estimation methods, including probability statistical methods such as using Gaussian distribution, logarithmic Gaussian distribution, and Weibull distribution to fit actual data. However, the authors argue that these methods have limitations in terms of reliability and applicability. They point out that the location parameter of the Weibull distribution represents a safe life with 100% reliability. Based on these methods, the book proposes the intelligent Zhentong Gao method, which differs from traditional approaches and effectively addresses and solves the problem of estimating the three parameters of Weibull distribution.

This title will serve as a valuable reference for researchers, senior undergraduate and graduate students, and engineers in the fields of aerospace, automotive, mechanical, civil engineering, etc.

Part 1: Mathematical Foundations of Intelligent Fatigue Statistics 1. Basic Knowledge of Probability Theory 2. Random Variable Functions and Moment Generating Functions 3. Several Commonly Used Distributions 4. Basic Knowledge of Statistics Part 2: Computer Basics of Intelligent Statistical Fatigue 5. Application of Excel in Probability Statistics 6. Introduction to Python Part 3: Some Applications of Intelligent Fatigue Statistics 7. Estimation of Population Parameters 8. Zhentong Gao Method 9. Several Commonly Used Testing Methods 10. Application of Digital-Experiments to the Study of Weibull Distribution

Zhentong Gao, an Academician of the China Academy of Sciences, is an expert in metal structural fatigue. Before retiring, he worked as Professor at Beihang University, China, where he focused on the research of material fatigue performance and metal structural fatigue.

Jiajin Xu is a researcher specializing in the fields of semiconductor, laser physics, nonlinear optics, and computational physics. He worked as a visiting scholar at the Optical Research Center, Arizona University in the US between 1988 and 1991.