E-Book Overview
The two-volume work "Engineering Vibration Analysis" is devoted to problems on vibration theory analysis, which is currently one of the fundamental courses in mechanical engineering departments at technical universities.
The first volume is devoted to systems with a finite number of degrees of freedom and continuous systems are analyzed in the second. In the first part of each volume problems are posed and in the second part the detailed solutions to these problems are dealt with. Conventional and advanced problems requiring deeper knowledge of the vibration theory are analyzed. In particular, problems are formulated associated with the determination of frequencies and vibration modes, the study of free and forced vibrations, as well as with parametric and nonlinear vibration analysis. The problems associated with determination of critical parameters, dynamic stability and with random vibrations are also considered. The algorithms for their solutions are presented with probability characteristics calculation, and a reliability estimation (probability of non-failure operation) of the corresponding mechanical system.
E-Book Content
Foundations of Engineering Mechanics V. A. Svetlitsky Springer-Verlag Berlin Heidelberg GmbH Engineering springeronline.com ONLINE LIBRARY v. A. Svetlitsky Engineering Vibration Analysis Worked Problems 1 Translated by G.I. Merzon and V.A. Chechin With 312 Figures Springer Series Editors: V.1. Babitsky Department ofMechanical Engineering Loughborough University Loughborough LEI13TU, Leicestershire Great Britain J. Wittenburg Institut fUr Technische Mechanik UniversitiU Karlsruhe (TH) KaiserstraJ3e 12 76128 Karlsruhe / Germany Author: V. A. Svetlitsky Bauman Moscow State Technical University Department of Applied Mechanics 2nd Baumanskaya st.5 105005 Moscow Russian Federation Translators: 0.1. Merzon V. A. Chechin Lebedev Physics Institute Russian Academy of Sciences Leninsky pro 53 119333 Moscow Russian Federation ISBN 978-3-642-05842-4 ISBN 978-3-540-40970-0 (eBook) DOl 10.1007/978-3-540-40970-0 Cataloging-in-Publication data applied for Bibliographic information published by Die Deutsche Bibliothek. Die Deutsche Bibliothek lists this publication in the Deutsche Nationalbibliografie; detailed bibliographic data is available in the Internet at . This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in other ways, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer-Verlag. Violations are liable for prosecution act under German Copyright Law. © Springer-Verlag Berlin Heidelberg 2004 Originally published by Springer-Verlag Berlin Heidelberg in 2004 Softcover reprint of the hardcover 1st edition 2004 The use of general descriptive names, registered names, trademarks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. Cover-design: de'blik, Berlin Printed on acid-free paper 62 I 3020 hu - 5 4 3 2 1 0 Preface Theory of vibrations belongs to principal subjects needed for training mechanical engineers in technological universities. Therefore, the basic goal of the monograph "Advanced Theory of Vibrations 1" is to help students studying vibration theory for gaining experience in application of this theory for solving particular problems. Th