This page intentionally left blank Copyright © 2007 New Age International (P) Ltd., Publishers Published by New Age International (P) Ltd., Publishers All rights reserved. No part of this ebook may be reproduced in any form, by photostat, microfilm, xerography, or any other means, or incorporated into any information retrieval system, electronic or mechanical, without the written permission of the publisher. All inquiries should be emailed to
[email protected] ISBN : 978-81-224-2427-0 PUBLISHING FOR ONE WORLD NEW AGE INTERNATIONAL (P) LIMITED, PUBLISHERS 4835/24, Ansari Road, Daryaganj, New Delhi - 110002 Visit us at www.newagepublishers.com To Lord Sri Venkateswara 10D\N-VIBRA\TIT IV This page intentionally left blank Preface Vibration Analysis is an exciting and challenging field and is a multidisciplinary subject. This book is designed and organized around the concepts of Vibration Analysis of Mechanical Systems as they have been developed for senior undergraduate course or graduate course for engineering students of all disciplines. This book includes the coverage of classical methods of vibration analysis: matrix analysis, Laplace transforms and transfer functions. With this foundation of basic principles, the book provides opportunities to explore advanced topics in mechanical vibration analysis. Chapter 1 presents a brief introduction to vibration analysis, and a review of the abstract concepts of analytical dynamics including the degrees of freedom, generalized coordinates, constraints, principle of virtual work and D’Alembert’s principle for formulating the equations of motion for systems are introduced. Energy and momentum from both the Newtonian and analytical point of view are presented. The basic concepts and terminology used in mechanical vibration analysis, classification of vibration and elements of vibrating systems are discussed. The free vibration analysis of single degree of freedom of undamped translational and torsional systems, the concept of damping in mechanical systems, including viscous, structural, and Coulomb damping, the response to harmonic excitations are discussed. Chapter 1 also discusses the application such as systems with rotating eccentric masses; systems with harmonically moving support and vibration isolation ; and the response of a single degree of freedom system under general forcing functions are briefly introduced. Methods discussed include Fourier series, the convolution integral, Laplace transform, and numerical solution. The linear theory of free and forced vibration of two degree of freedom systems, matrix methods is introduced to study the multiple degrees of freedom systems. Coordinate coupling and principal coordinates, orthogonality of modes, and beat phenomenon are also discussed. The modal analysis procedure is used for the solution of forced vibration problems. A brief introduction to Lagrangian dynamics is presented. Using t