Random vibration and spectral analysis
By: by André Preumont
Series: Solid mechanics and its applications -- v. 33; Solid mechanics and its applications -- 33.
Publisher: Springer
Published: 1994
Place of publication: Dordrecht
Language: eng
Format: [electronic resource] /
ISBN-13: 9789401728409; 9789048144495
Subjects: Stochastic processes; Random vibration; Spectral theory (Mathematics); Data processing
Description: This text constitutes a revised edition of the book published in French by the ̀Presses Polytechniques et Universitaires Romandes' in 1991. It contains a comprehensive treatment of the theory of random vibration of linear structures subjected to stationary or nonstationary excitations. The book consists of three parts: Chapters 1 to 4 review the theory of random processes; Chapters 5 and 6 analyse the response of linear structures to various classes of random excitations. Illustrative examples are taken from various fields of structural engineering, such as boundary layer noise, along wind response of buildings or the seismic response of multi-supported structures. The spectral description of nonstationary oscillatory processes and the response of linear structures to nonstationary excitation are treated in Chapter 8. The third part is devoted to the failure modes by threshold crossing and random fatigue; classical results for fatigue under uniaxial loading are extended to biaxial stress fields. The final chapter is devoted to the discrete Fourier transform. This book will interest structural analysts and research engineers dealing with structures in a random environment. It can also be used as a textbook for a graduate course in random vibration. The text is supplemented by 81 problems.
Notes: Rev. translation of: Vibrations aléatoires et analyse spectrale.

Includes bibliographical references (pages 261-268) and index.
Table of contents: title: 1 Introduction; title: 2 Random Variables; title: 3 Random Processes; title: 4 Gaussian Process, Poisson Process; title: 5 Random Response of a Single Degree of Freedom Oscillator; title: 6 Random Response of Multi Degree of Freedom Systems; title: 7 Input-Output Relationship for Physical Systems; title: 8 Spectral Description of Non-stationary Random Processes; title: 9 Markov Process; title: 10 Threshold Crossings, Maxima, Envelope and Peak Factor; title: 11 Random fatigue; title: 12 The Discrete Fourier Transform.