Theory of Vibration

1. Front Matter

   Pages ii-xiv

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2. Introduction

   • A. A. Shabana

   Pages 1-26

3. Solution of the Vibration Equations

   • A. A. Shabana

   Pages 27-53

4. Free Vibration of Single Degree of Freedom Systems

   • A. A. Shabana

   Pages 54-124

5. Forced Vibration

   • A. A. Shabana

   Pages 125-176

6. Response to Nonharmonic Forces

   • A. A. Shabana

   Pages 177-224

7. Two Degree of Freedom Systems

   • A. A. Shabana

   Pages 225-285

8. Back Matter

   Pages 287-289

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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.

• dynamics
• energy
• foundation
• resonance
• sound
• stability
• torsion
• vibration

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

  A. A. Shabana

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