Random Vibration and Spectral Analysis

(translated from the French 'Vibrations aléatoires et analyse spectrale')

by André Preumont

Department of Mechanical Engineering and Robotics, Université Libre de Bruxelles, Belgium

SOLID MECHANICS AND ITS APPLICATIONS 33

This text constitutes a revised edition of the book published in French by the 'Presses Polytechniques et Universitaires' 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; Chapter 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 dicrete 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.

Contents

1. Introduction.  2. Random Variables.  3. Random Processes.  4. Gaussian Process, Poisson Process.  5. Random Response of a Single Degree of Freedom Oscillator.  6. Random Response of Multi Degree of Freedom Systems.  7. Input-Outpput Relationship of Physical Systems.  8. Spectral Descriptiion of Nonstationary Random Processes.  9. Markov Process.  10. Threshold Crossings, Maxima, Envelope and Peak Factor. Bibliography, Index.

September 1994, 288 pp.

Hardbound, ISBN 0-7923-3036-6

Kluwer Academic Publishers