Igor Rychlik - Böcker

Fatigue Prediction for Random Loads serves as a comprehensive treatise for methods for fatigue estimation and fatigue life prediction in randomly excited structural systems using the rainflow cycle counting method.Fatigue is an important mode of material degradation in structural components subjected to vibrations and a reliable estimation of their fatigue life span, and it is a key consideration in the design and development of such systems. This book uses advanced concepts of probability theory, random variables and random processes to develop spectral-based methods and formulae for predicting expected fatigue damage and expected fatigue life. The developments presented here bypass the need for a computationally expensive rainflow cycle counting that is usually adopted in time domain approaches.This book is aimed towards researchers and industry practitioners working in the intersectional areas of mechanics and applied mathematics and is expected to be particularly useful for applications on problems in the fields of wind engineering, offshore engineering, ship research and routing, aerospace engineering, automotive engineering and machine dynamics.

The purpose of this book is to present concepts in a statistical treatment of risks. Such knowledge facilitates the understanding of the in?uence of random phenomena and gives a deeper knowledge of the possibilities o?ered by and algorithms found in certain software packages. Since Bayesian methods are frequently used in this ?eld, a reasonable proportion of the presentation is devoted to such techniques. The text is written with student in mind – a student who has studied - ementary undergraduate courses in engineering mathematics, may be incl- ing a minor course in statistics. Even though we use a style of presentation traditionally found in the math literature (including descriptions like de- itions, examples, etc.), emphasis is put on the understanding of the theory and methods presented; hence reasoning of an informal character is frequent. With respect to the contents (and its presentation), the idea has not been to write another textbook on elementary probability and statistics — there are plenty of such books — but to focus on applications within the ?eld of risk and safety analysis. Each chapter ends with a section on exercises; short solutions are given in appendix. Especially in the ?rst chapters, some exercises merely check basic concepts introduced, with no clearly attached application indicated. However, among the collection of exercises as a whole, the ambition has been to present problems of an applied character and to a great extent real data sets have been used when constructing the problems.