Transcription of Vibration of Continuous Systems
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Vibration of Continuous SystemsVibration of Continuous Systems . Singiresu S. Rao 2007 John Wiley & Sons, Inc. ISBN: 978-0-471-77171-5 Vibration of ContinuousSystemsSingiresu S. RaoProfessor and ChairmanDepartment of Mechanical and Aerospace EngineeringUniversity of MiamiCoral Gables, FloridaJOHN WILEY & SONS, book is printed on acid-free 2007 by John Wiley & Sons, Inc. All rights by John Wiley & Sons, Inc., Hoboken, New JerseyPublished simultaneously in part of this publication may be reproduced, stored in a retrieval system, or transmitted in any form orby any means, electronic, mechanical, photocopying, recording, scanning, or otherwise, except aspermitted under Section 107 or 108 of the 1976 United States Copyright Act, without either the priorwritten permission of the Publisher, or authorization through payment of the appropriate per-copy fee tothe Copyright Clearance Center, Inc.
6.4 Sturm–Liouville Problem 154 6.4.1 Classification of Sturm–Liouville Problems 155 6.4.2 Properties of Eigenvalues and Eigenfunctions 160 6.5 General Eigenvalue Problem 163 6.5.1 Self-Adjoint Eigenvalue Problem 163 6.5.2 Orthogonality of Eigenfunctions 165 6.5.3 Expansion Theorem 166 6.6 Solution of Nonhomogeneous Equations 167
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