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• Contents
• Preface
• 1 Introduction To Vibration and the Free Response
• 1.1 Introduction to Free Vibration
• 1.2 Harmonic Motion
• 1.3 Viscous Damping
• 1.4 Modeling and Energy Methods
• 1.5 Stifness
• 1.6 Measurement
• 1.7 Design Considerations
• 1.8 Stability
• 1.9 Numerical Simulation of the Time Response
• 1.10 Coulomb Friction and the Pendulum
• Problems
• MATLAB Engineering Vibration Toolbox
• Toolbox Problems
• 2 Response to Harmonic Excitation
• 2.1 Harmonic Excitation of Undamped Systems
• 2.2 Harmonic Excitation of Damped Systems
• 2.3 A lternative Representations
• 2.4 Base Excitation
• 2.5 Rotating Unbalance
• 2.6 Measurement Devices
• 2.7 Other Forms of Damping
• 2.8 Numerical Simulation and Design
• 2.9 Nonlinear Response Properties
• Problems
• MATLAB Engineering Vibration Toolbox
• Toolbox Problems
• 3 General Forced Response
• 3.1 Impulse Response Function
• 3.2 Response to an Arbitrary Input
• 3.3 Response to an Arbitrary Periodic Input
• 3.4 Transform Methods
• 3.5 Response to Random Inputs
• 3.6 Shock Spectrum
• 3.7 Measurement via Transfer Functions
• 3.8 Stability
• 3.9 Numerical Simulation of the Response
• 3.10 Nonlinear Response Properties
• Problems
• MATLAB Engineering Vibration Toolbox
• Toolbox Problems
• 4 Multiple-Degreeof-Freedom Systems
• 4.1 Two-Degree-of-Freedom Model (Undamped)
• 4.2 Eigenvalues and Natural Frequencies
• 4.3 Modal Analysis
• 4.4 More than Two Degrees of Freedom
• 4.5 Systems with Viscous Damping
• 4.6 Modal Analysis of the Forced Response
• 4.7 Lagrange’s Equations
• 4.8 Examples
• 4.9 Computational Eigenvalue Problems for Vibration
• 4.10 Numerical Simulation of the Time Response
• Problems
• MATLAB Engineering Vibration Toolbox
• Toolbox Problems
• 5 Design for Vibration Suppression
• 5.1 Acceptable Levels of Vibration
• 5.2 Vibration Isolation
• 5.3 Vibration Absorbers
• 5.4 Damping in Vibration Absorption
• 5.5 Optimization
• 5.6 Viscoelastic Damping Treatments
• 5.7 Critical Speeds of Rotating Disks
• Problems
• MATLAB Engineering Vibration Toolbox
• Toolbox Problems
• 6 Distributed-Parameter Systems
• 6.1 Vibration of a String or Cable
• 6.2 Modes and Natural Frequencies
• 6.3 Vibration of Rods and Bars
• 6.4 Torsional Vibration
• 6.5 Bending Vibration of a Beam
• 6.6 Vibration of Membranes and Plates
• 6.7 Models of Damping
• 6.8 Modal Analysis of the Forced Response
• Problems
• MATLAB Engineering Vibration Toolbox
• Toolbox Problems
• 7 Vibration Testingand Experimental Modal Analysis
• 7.1 Measurement Hardware
• 7.2 Digital Signal Processing
• 7.3 Random Signal Analysis in Testing
• 7.4 Modal Data Extraction
• 7.5 Modal Parameters by Circle Fitting
• 7.6 Mode Shape Measurement
• 7.7 Vibration Testing for Endurance and Diagnostics
• 7.8 Operational Deflection Shape Measurement
• Problems
• MATLAB Engineering Vibration Toolbox
• Toolbox Problems
• 8 Finite Element Method
• 8.1 Example: The Bar
• 8.2 Three-Element Bar
• 8.3 Beam Elements
• 8.4 Lumped-Mass Matrices
• 8.5 Trusses
• 8.6 Model Reduction
• Problems
• MATLAB Engineering Vibration Toolbox
• Toolbox Problems
• Apendix A Complex Numbers and Functions
• Apendix B Laplace Transforms
• Apendix C Matrix Basics
• Apendix D The Vibration Literature
• Apendix E List of Symbols
• Apendix F Codes and Web Sites
• Apendix G Engineering Vibration Toolbox and Web Support
• References
• Answers to Selected Problems
• Index
• A
• B
• C
• D
• E
• F
• G
• H
• I
• K
• L
• M
• N
• O
• P
• Q
• R
• S
• T
• U
• V
• W
• Y
• Z