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Mechanical Vibrations Modeling and Measurement.pdf

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    Mechanical Vibrations
    Preface
    Contents
    Chapter 1: Introduction
    Chapter 2: Single Degree of Freedom Free Vibration
    Chapter 3: Single Degree of Freedom Forced Vibration
    Chapter 4: Two Degree of Freedom Free Vibration
    Chapter 5: Two Degree of Freedom Forced Vibration
    Chapter 6: Model Development by Modal Analysis
    Chapter 7: Measurement Techniques
    Chapter 8: Continuous Beam Modeling
    Chapter 9: Receptance Coupling
    Appendix A: Beam Experimental Platform
    Appendix B: Orthogonality of Eigenvectors
    Index
    Mechanical Vibrations
    Tony L. Schmitz l K. Scott Smith Mechanical Vibrations Modeling and Measurement
    Tony L. Schmitz Department of Mechanical Engineering and Engineering Science University of North Carolina at Charlotte Charlotte, NC, USA tony.schmitz@uncc.edu K. Scott Smith Department of Mechanical Engineering and Engineering Science University of North Carolina at Charlotte Charlotte, NC, USA kssmith@uncc.edu Please note that additional material for this book can be downloaded from http://extras.springer.com ISBN 978-1-4614-0459-0 DOI 10.1007/978-1-4614-0460-6 Springer New York Dordrecht Heidelberg London e-ISBN 978-1-4614-0460-6 Library of Congress Control Number: 2011934974 # Springer Science+Business Media, LLC 2012 All rights reserved. This work may not be translated or copied in whole or in part without the written permission of the publisher (Springer Science+Business Media, LLC, 233 Spring Street, New York, NY 10013, USA), except for brief excerpts in connection with reviews or scholarly analysis. Use in connection with any form of information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed is forbidden. The use in this publication of trade names, trademarks, service marks, and similar terms, even if they are not identified as such, is not to be taken as an expression of opinion as to whether or not they are subject to proprietary rights. Printed on acid-free paper Springer is part of Springer ScienceþBusiness Media (www.springer.com)
    To our children, Jake, BK, Kellye, and Kyle.
    Preface In this textbook, we describe essential concepts in the vibration analysis of mechanical systems. The book incorporates the required mathematics, experimen- tal techniques, fundamentals of modal analysis, and beam theory into a unified framework and is written to be accessible to undergraduate students, researchers, and practicing engineers alike. We based the book on undergraduate courses in mechanical vibrations that we have previously offered and developed the text to be applied in a traditional 15-week course format. It is appropriate for undergraduate engineering students who have completed the basic courses in mathematics (through differential equations) and physics and the introductory mechanical engi- neering courses including statics, dynamics, and mechanics of materials. We organized the book into nine chapters. The chapter topics are summa- rized here. l Chapter 1 – We introduce the types of mechanical vibrations, damping, and periodic motion. l Chapter 2 – We explore topics in single degree of freedom free vibration, including the equation of motion, the damped harmonic oscillator, and unstable behavior. l Chapter 3 – We introduce single degree of freedom forced vibration and discuss the frequency response function, rotating unbalance, base motion, and the impulse response. l Chapter 4 – We extend the Chap. 2 analysis to consider two degree of freedom free vibration. This includes the eigensolution for the equations of motion and modal analysis. l Chapter 5 – We extend the Chap. 3 analysis to consider two degree of freedom forced vibration. We describe complex matrix inversion, modal analysis, and the dynamic absorber. l Chapter 6 – In this chapter we analyze model development by modal analysis. This incorporates the peak picking approach for identifying modal parameters from a system frequency response measurement and mode shape measurement. vii
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