Statistics has a variety of applications in mechanical engineering. It is used to handle and interpret large amounts of data. Statistical methods are used to analyze manufacturing processes such as part dimensions, tolerances, material types, and manufacturing process control. These methods help scientists and engineers plan experiments, perform appropriate analyses, and interpret scientific and engineering results stated in statistical terms.
In the field of mechanical engineering, statistical methods are used to analyze research papers, including frequency distributions of descriptive statistics and advanced statistical methods. In addition, statistics is used in simulation models for decision making in mechanical engineering processes, where it is important to take into account the natural variability of the production process. Overall, statistics plays an important role in many aspects of mechanical engineering, from data analysis to experimental design to decision making in simulations.
About the Book
Although this book is intended for use by practicing engineers in industry, it is organized with examples and problems for use in a one-semester graduate course.
Chapter1 provides data reduction techniques for fitting experimental failure data to statistical distributions. Although this book covers only the normal (Gaussian) and Weibull distributions, the technique can be extended to other distributions, including non parametric distributions.
The main part of the book is Chapter2, which applies probability and computer analysis to fatigue, design, and variations of both. The essence of this chapter is an idea presented in Metal Fatigue (1959), edited by George Sines and J. L. Waismanan, which considers the problem of having to deal with limited amounts of engineering data. It is also the subject of Robert C.
Juvinall’s discussion of fatigue in Stress, Strain, Strength (1967) and J. H. Faupel and F. Fisher in Engineering Design (1981), and Edward Haugen’s (1968) book on parameter changes in fatigue have been successfully integrated in to a single treatment of fatigue.
This book is an extension and application of Haugen’s book Probabilistic Mechanical Design (1980). The concept of optimization is developed in Chapter3. Geometric programming techniques are introduced, and solutions to sample problems are compared with computer-generated non linear programming solutions. Chapter4 addresses reliability in mechanical systems and present shard-to-obtain failure rate data.
This book was influenced by my consulting work for Hughes Aircraft Company from 1977 to 1993. Several examples are drawn from this effort.