Theory of Vibration

An Introduction

  • Ahmed A.¬†Shabana

Part of the Mechanical Engineering Series book series (MES)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Ahmed A. Shabana
    Pages 1-35
  3. Ahmed A. Shabana
    Pages 37-68
  4. Ahmed A. Shabana
    Pages 69-128
  5. Ahmed A. Shabana
    Pages 129-176
  6. Ahmed A. Shabana
    Pages 177-232
  7. Ahmed A. Shabana
    Pages 233-303
  8. Ahmed A. Shabana
    Pages 305-348
  9. Ahmed A. Shabana
    Pages 349-362
  10. Back Matter
    Pages 363-375

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. Adding a new chapter on special topics such as motion control, impact dynamics, and nonlinear dynamics, this textbook imparts a sound understanding of the fundamental theory of vibration and its applications. In a simple and systematic manner, it presents techniques that can easily be applied to the analysis of vibration of mechanical and structural systems. Unlike other texts on vibrations, the approach is general, based on the conservation of energy and Lagrangian dynamics, and develops specific techniques from these foundations in clearly understandable stages. Suitable for a one-semester course on vibrations, the book presents 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 as well as new sections on motion control, impact dynamics, and nonlinear dynamics;
  • 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 of 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 vibration systems.


Vibration textbook Damping resonance stability vibration analysis torsion mechanics textbook

Authors and affiliations

  • Ahmed A.¬†Shabana
    • 1
  1. 1.Richard and Loan Hill, Professor of Engineering, Department of Mechanical & Industrial EngineeringUniversity of Illinois at ChicagoChicagoUSA

Bibliographic information

  • DOI
  • Copyright Information Springer International Publishing AG, part of Springer Nature 2019
  • Publisher Name Springer, Cham
  • eBook Packages Engineering
  • Print ISBN 978-3-319-94270-4
  • Online ISBN 978-3-319-94271-1
  • Series Print ISSN 0941-5122
  • Series Online ISSN 2192-063X
  • Buy this book on publisher's site
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