Vibration of Continuous Systems

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April 22, 2011


Electronic book text, 528 pages

Other Formats


0071714804 / 9780071714808

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Main description


Written by experts in the field, Vibrations of Continuous Systems expalins the vibrational behavior of basic structural components and elements. Several real-world applications in various fields, including acoustics and aerospace, mechanical, civil, and biomedical engineering, are highlighted. The book includes the derivation of the governing equations of motion and emphasizes the interplay between mathematics and physical understanding. Challenging end-of-chapter problems reinforce the concepts presented in this detailed guide.


  • Transverse vibrations of strings
  • Longitudinal and torsional vibrations of bars
  • Beam vibrations
  • Membrane vibrations
  • Plate vibrations
  • Shell vibrations
  • Vibrations of three-dimensional bodies
  • Vibrations of composite continuous systems

Table of contents

Chapter 1. Introduction; Chapter 2. Transverse Vibration of Strings; Chapter 3. Longitudinal and Torsional Vibration of Bars; Chapter 4. Transverse Vibration of Beams; Chapter 5. Membrane Vibrations; Chapter 6. Plate Vibrations; Chapter 7. Vibration of Shells; Chapter 8. Three Dimensional Vibrations; Chapter 9. Vibration of Composite Structures Appendices; Appendix A. Summary of One Degree of Freedom Vibrations; Appendix B. Special Functions; Appendix C. Bassel and Gamma Functions Hyperbolic Functions; Appendix D. References

Author comments

Arthur W. Leissa, Ph.D., is Professor Emeritus in the Mechanical Engineering Department at Ohio State University. He served as an Editor-in-Chief (1993-2008) of Applied Mechanics Reviews, the top international journal publishing review articles in applied mechanics.

Mohamad S. Qatu, Ph.D., is a professor of Mechanical Engineering at Mississippi State University. Prior to his academic career, he worked as a senior research fellow at Ford Motor Company, Dana Corporation, and Honda of America.

Copyright 2014 McGraw-Hill Global Education Holdings, LLC


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