Table of Contents
Cover
Title Page
About the Authors
Preface
1 Preliminaries
Chapter Outline
Chapter Objectives
1.1 From Statics
1.2 From Kinematics
1.3 From Kinetics
1.4 From Strength of Materials
2 Lagrange’s Equation for Mechanical Oscillatory Systems
Chapter Outline
Chapter Objectives
2.1 About Lagrange’s Equation of the Second Kind
2.2 Kinetic Energy in Mechanical Oscillatory Systems
2.3 Potential Energy in Mechanical Oscillatory Systems
2.4 Generalised Forces in Mechanical Oscillatory Systems
2.5 Dissipative Function in Mechanical Oscillatory Systems
References
3 Free Undamped Vibration of Single‐Degree‐of‐Freedom Systems
Chapter Outline
Chapter Objectives
Theoretical Introduction
4 Free Damped Vibration of Single‐Degree‐of‐Freedom Systems
Chapter Outline
Chapter Objectives
Theoretical Introduction
5 Forced Vibration of Single‐Degree‐of‐Freedom Systems
Chapter Outline
Chapter Objectives
Theoretical Introduction
6 Free Undamped Vibration of Two‐Degree‐of‐Freedom Systems
Chapter Outline
Chapter Objectives
Theoretical Introduction
7 Forced Vibration of Two‐Degree‐of‐Freedom Systems
Chapter Outline
Chapter Objectives
Theoretical Introduction
8 Vibration of Systems with Infinite Number of Degrees of Freedom
Chapter Outline
Chapter Objectives
8.1 Theoretical Introduction: Longitudinal Vibration of Bars
8.2 Theoretical Introduction: Torsional Vibration of Shafts
8.3 Theoretical Introduction: Transversal Vibration of Beams
9 Additional Topics
Chapter Outline
Chapter Objectives
9.1 Theoretical Introduction
9.2 Equivalent Two‐Element System for Concurrent Springs and Dampers
9.3 Nonlinear Springs in Series
9.4 On the Deflection and Potential Energy of Nonlinear Springs: Approximate Expressions
9.5 Corrections of Stiffness Properties of Certain Oscillatory Systems
Appendix Mathematical Topics
A.1 Geometry
A.2 Trigonometry
A.3 Algebra
A.4 Vectors
A.5 Derivatives (Notation:
)
A.6 Variation (Virtual Displacements)
A.7 Series
Index
End User License Agreement
List of Tables
Chapter 01
Table 1.1.1
Table 1.1.2
Table 1.3.1
Chapter 08
Table 8.3.1.1
Chapter 09
Table 9.4.1
Table 9.5.1
List of Illustrations
Chapter 01
Figure 1.2.1
Figure 1.2.2
Figure 1.2.3
Figure 1.2.4
Figure 1.2.5
Figure 1.2.6
Figure 1.2.7
Figure 1.2.8
Figure 1.2.9
Figure 1.3.1
Figure 1.3.2
Figure 1.3.3
Figure 1.3.4
Figure 1.3.5
Figure 1.4.1
Figure 1.4.2
Figure 1.4.3
Chapter 02
Figure 2.2.1
Figure 2.3.1
Figure 2.3.2
Figure 2.3.3
Figure 2.3.4
Figure 2.4.1
Chapter 03
Figure 3.1
Figure 3.1.1
Figure 3.1.2
Figure 3.2.1
Figure 3.2.2
Figure 3.3.1
Figure 3.3.2
Figure 3.3.3
Figure 3.4.1
Figure 3.4.2
Figure 3.5.1
Figure 3.5.2
Figure 3.5.3
Figure 3.6.1
Figure 3.6.2
Figure 3.7.1
Figure 3.7.2
Figure 3.8.1
Figure 3.8.2
Figure 3.8.3
Figure 3.9.1
Figure 3.9.2
Figure 3.10.1
Figure 3.10.2
Figure 3.11.1
Figure 3.11.2
Figure 3.11.3
Figure 3.11.4
Figure 3.12.1
Figure 3.12.2
Figure 3.12.3
Figure 3.13.1
Figure 3.13.2
Figure 3.14.1
Figure 3.14.2
Figure 3.14.3
Figure 3.14.4
Figure 3.15.1
Figure 3.15.2
Figure 3.15.3
Figure 3.15.4
Chapter 04
Figure 4.1.1
Figure 4.1.2
Figure 4.1.3
Figure 4.2.1
Figure 4.2.2
Figure 4.3.1
Figure 4.3.2
Figure 4.4.1
Figure 4.4.2
Figure 4.5.1
Figure 4.5.2
Figure 4.6.1
Figure 4.6.2
Figure 4.7.1
Figure 4.7.2
Figure 4.8.1
Figure 4.8.2
Figure 4.8.3
Figure 4.9.1
Figure 4.9.2
Figure 4.9.3
Figure 4.9.4
Figure 4.9.5
Figure 4.10.1
Figure 4.10.2
Figure 4.10.3
Figure 4.11.1
Figure 4.11.2
Figure 4.11.3
Figure 4.11.4
Chapter 05
Figure 5.1.1
Figure 5.1.2
Figure 5.1.3
Figure 5.2.1
Figure 5.3.1
Figure 5.3.2
Figure 5.3.3
Figure 5.3.4
Figure 5.4.1
Figure 5.4.2
Figure 5.4.3
Figure 5.4.4
Figure 5.4.5
Figure 5.4.6
Figure 5.5.1
Figure 5.5.2
Figure 5.5.3
Figure 5.5.4
Figure 5.5.5
Figure 5.5.6
Figure 5.6.1
Figure 5.6.2
Figure 5.6.3
Figure 5.6.4
Figure 5.7.1
Figure 5.7.2
Figure 5.7.3
Figure 5.7.4
Chapter 06
Figure 6.1.1
Figure 6.1.2
Figure 6.1.3
Figure 6.1.4
Figure 6.2.1
Figure 6.2.2
Figure 6.2.3
Figure 6.2.4
Figure 6.3.1
Figure 6.3.2
Figure 6.3.3
Figure 6.3.4
Figure 6.4.1
Figure 6.4.2
Figure 6.5.1
Figure 6.5.2
Figure 6.5.3
Figure 6.5.4
Figure 6.5.5
Figure 6.6.1
Figure 6.6.2
Figure 6.6.3
Figure 6.6.4
Figure 6.6.5
Figure 6.7.1
Figure 6.7.2
Figure 6.7.3
Figure 6.7.4
Figure 6.7.5
Figure 6.7.6
Chapter 07
Figure 7.1.1
Figure 7.1.2
Figure 7.1.3
Figure 7.1.4
Figure 7.1.5
Figure 7.2.1
Figure 7.2.2
Figure 7.2.3
Figure 7.2.4
Figure 7.2.5
Figure 7.3.1
Figure 7.3.2
Figure 7.3.3
Figure 7.3.4
Figure 7.3.5
Figure 7.3.6
Figure 7.4.1
Figure 7.4.2
Figure 7.4.3
Figure 7.4.4
Figure 7.4.5
Figure 7.5.1
Figure 7.5.2
Figure 7.5.3
Figure 7.5.4
Figure 7.6.1
Figure 7.6.2
Figure 7.6.3
Figure 7.6.4
Figure 7.6.5
Chapter 08
Figure 8.1.1
Figure 8.1.1.1
Figure 8.1.1.2
Figure 8.1.2.1
Figure 8.1.2.2
Figure 8.1.2.3
Figure 8.1.3.1
Figure 8.1.3.2
Figure 8.1.3.3
Figure 8.1.3.4
Figure 8.1.4.1
Figure 8.1.4.2
Figure 8.1.4.3
Figure 8.2.1
Figure 8.2.1.1
Figure 8.2.1.2
Figure 8.2.2.1
Figure 8.2.2.2
Figure 8.2.2.3
Figure 8.2.3.1
Figure 8.2.4.1
Figure 8.2.4.2
Figure 8.3.1
Figure 8.3.2
Figure 8.3.1.1
Figure 8.3.1.2
Figure 8.3.1.3
Figure 8.3.2.1
Figure 8.3.2.2
Figure 8.3.2.3
Figure 8.3.3.1
Figure 8.3.3.2
Figure 8.3.3.3
Figure 8.3.4.1
Figure 8.3.4.2
Figure 8.3.4.3
Figure 8.3.5.1
Figure 8.3.5.2
Figure 8.3.5.3
Chapter 09
Figure 9.1.1
Figure 9.2.1
Figure 9.2.2
Figure 9.2.3
Figure 9.2.4
Figure 9.2.5
Figure 9.2.6
Figure 9.2.7
Figure 9.2.8
Figure 9.5.1
Figure 9.5.2
Figure 9.5.3
Figure 9.5.4
Figure 9.5.5
Figure 9.5.6
Guide
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