Random vibration and spectral analysis
This textbook is addressed to mechanical engineers already trained in linear structural dynamics; only a very limited background is assumed in stochastic processes. The book is organized as follows: After a short introductory chapter 1, chapters 2 to 4 cover the basic theory of random processes. These chapters can be skipped by the reader already trained in random processes. Chapters 5 and 6 cover the input-output relationship for single- and multi-degree-of-freedom (discrete and continuous) linear structures subjected to a stationary random excitation. Both external forces and support excitation are considered. Chapter 7 is devoted to the effect to noise on the input-output relationship. Chapter 8 covers the spectral description and the input-output relationship for non-stationary processes. This chapter may be skipped during a first reading. Chapter 9 studies the Markov processes; it may be also skipped during a first reading. Chapters 10 and 11 are devoted to the failure modes for Gaussian processes. Chapter 10 covers the probability distribution of the threshold crossings, the maxima, the envelope and the extreme value (peak factor), while chapter 11 deals with the prediction of fatigue life for uniaxial and multiaxial stress fields. The final chapter 12 is devoted to the fast Fourier transform. This chapter can be read independently of the other chapters. Each chapter is followed by problems and a limited set of references suggested as additional reading; a more comprehensive bibliography is given at the end of the book.
single- and multi-degree-of-freedom linear structures
scientific article; zbMATH DE number 863324