Theory of Vibration

An Introduction

  • A. A. Shabana

Part of the Mechanical Engineering Series book series (MES)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. A. A. Shabana
    Pages 1-32
  3. A. A. Shabana
    Pages 33-60
  4. A. A. Shabana
    Pages 135-184
  5. A. A. Shabana
    Pages 185-236
  6. A. A. Shabana
    Pages 237-300
  7. A. A. Shabana
    Pages 301-336
  8. Back Matter
    Pages 337-349

About this book


This fully revised and updated third edition covers the physical and mathematical fundamentals of vibration analysis, including single degree of freedom, multi-degree of freedom, and continuous systems. A new chapter on special topics that include motion control, impact dynamics, and nonlinear dynamics is added to the new edition. In a simple and systematic manner, the book presents techniques that can easily be applied to the analysis of vibration of mechanical and structural systems. Suitable for a one-semester course on vibrations, the book presents the new concepts in simple terms and explains procedures for solving problems in considerable detail. It contains numerous exercises, examples and end-of-chapter problems.


·         Features updates and revisions to all chapters including coverage of important nonlinear dynamics topics;

·         Provides lucid yet rigorous review of the mathematics needed for the solution of the vibration equations;

·         Presents complete coverage of the theory of vibration with focus on the fundamentals, numerical and computer methods;

·         Reinforces concepts with numerous exercises and examples and end-of-chapter problems;

Includes a Fortran code for solving ODEs of nonlinear systems.vibration 


Damping Vibration resonance stability torsion

Authors and affiliations

  • A. A. Shabana
    • 1
  1. 1.Department of Mechanical EngineeringUniversity of Illinois at ChicagoChicagoUSA

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag New York 1996
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4612-8456-7
  • Online ISBN 978-1-4612-3976-5
  • Series Print ISSN 0941-5122
  • Series Online ISSN 2192-063X
  • Buy this book on publisher's site