Theory of Vibration

1. Front Matter

   Pages i-xiii

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2. Introduction

   • A. A. Shabana

   Pages 1-32

3. Solution of the Vibration Equations

   • A. A. Shabana

   Pages 33-60

4. Free Vibration of Single Degree of Freedom Systems

   • A. A. Shabana

   Pages 61-134

5. Forced Vibration

   • A. A. Shabana

   Pages 135-184

6. Response to Nonharmonic Forces

   • A. A. Shabana

   Pages 185-236

7. Systems with More Than One Degree of Freedom

   • A. A. Shabana

   Pages 237-300

8. Continuous Systems

   • A. A. Shabana

   Pages 301-336

9. Back Matter

   Pages 337-349

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The aim of this book is to impart a sound understanding, both physical and mathematical, of the fundamental theory of vibration and its applications. The book presents in a simple and systematic manner 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.

• Damping
• Vibration
• resonance
• stability
• torsion

"The text is particularly easy to read and moves from one section to the next with no major changes in style. It is obvious that the structure of the material is...based on a set of mature class notes...a very worthwhile addition to the vibration literature" - Proceedings of the Institution of Mechanical Engineers

• Department of Mechanical Engineering, University of Illinois at Chicago, Chicago, USA

  A. A. Shabana

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