Vibration of Discrete and Continuous Systems

  • Ahmed Shabana

Part of the Mechanical Engineering Series book series (MES)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Ahmed Shabana
    Pages 1-53
  3. Ahmed Shabana
    Pages 55-105
  4. Ahmed Shabana
    Pages 107-199
  5. Ahmed Shabana
    Pages 201-278
  6. Ahmed Shabana
    Pages 279-342
  7. Ahmed Shabana
    Pages 343-378
  8. Back Matter
    Pages 379-409

About this book


This revised, updated textbook adds new focus on computational methods and the importance of vibration theory in computer-aided engineering to fundamental aspects of vibration of discrete and continuous systems covered in the previous two editions of Vibration of Discrete and Continuous Systems. Building on the book’s emphasis on the theory of vibration of mechanical, structural, and aerospace systems, the author’s modifications, including discussion of the sub-structuring and finite element formulations, complete the coverage of topics required for a contemporary, second course following Vibration Theory. The textbook is appropriate for both upper-level undergraduate and graduate courses.

  • Expands coverage by more than 200 pages over the previous edition;
  • Grounds detail of vibration within discrete and continuous systems with thorough references to the theory of vibration;
  • Explains coverage of computational methods in the vibration analysis;
  • Illustrates the use of the finite element method and sub-structuring techniques in the vibration analysis;
  • Reinforces concepts with over 200 end-of-chapter problems;
  • Facilitates readers’ digestion of critical concepts using matrix methods to present some advanced vibration topics in a tractable manner.


vibrations in discrete and continuous systems vibrations textbook deformation kinematics numerical methods rotation torsion multi-degree of freedom systems Introduction to FEM vibration of single degree of freedom systems free vibrations forced vibrations

Authors and affiliations

  • Ahmed 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 Nature Switzerland AG 2019
  • Publisher Name Springer, Cham
  • eBook Packages Engineering Engineering (R0)
  • Print ISBN 978-3-030-04347-6
  • Online ISBN 978-3-030-04348-3
  • Series Print ISSN 0941-5122
  • Series Online ISSN 2192-063X
  • Buy this book on publisher's site
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