Vibration: Fundamentals and Practice

Table of Contents

VIBRATION ENGINEERING
Introduction
Study of Vibration
Application Areas
History of Vibration
Organization of the Book
Problems
TIME RESPONSE
Introduction
Undamped Oscillator
Heavy Springs
Oscillations in Fluid Systems
Damped Simple Oscillator
Forced Response
Problems
FREQUENCY RESPONSE
Introduction
Response to Harmonic Excitations
Transform Techniques
Mechanical Impedance Approach
Transmissibility Functions
Receptance Method
Problems
VIBRATION SIGNAL ANALYSIS
Introduction
Frequency Spectrum
Signal Types
Fourier Analysis
Random Vibration Analysis
Other Topics of Signal Analysis
Order Analysis
Machine Monitoring and Fault Diagnosis
Problems
MODAL ANALYSIS
Introduction
Degrees of Freedom and Independent Coordinates
System Representation
Modal Vibrations
Orthogonality of Natural Modes
Static Modes and Rigid Body Modes
Other Modal Formulations
Forced Vibration
Damped Systems
State-Space Approach
Problems
DISTRIBUTED-PARAMETER SYSTEMS
Introduction
Transverse Vibration of Cables
Longitudinal Vibrations of Rods
Torsional Vibration of Shafts
Flexural Vibration of Beams
Damped Continuous Systems
Vibration of Membranes and Plates
Problems
VIBRATION DAMPING
Introduction
Types of Damping
Representation of Damping in Vibration Analysis
Measurement of Damping
Interface Damping
Problems
VIBRATION INSTRUMENTATION
Introduction
Vibration Exciters
Control System
Performance Specification
Motion Sensors and Transducers
Torque, Force, and Other Sensors
Problems
SIGNAL CONDITIONING AND MODIFICATION
Introduction
Amplifiers
Analog Filters
Modulators and Demodulators
Analog-Digital Conversion
Bridge Circuits
Linearizing Devices
Miscellaneous Signal Modification Circuitry
Signal Analyzers and Display Devices
Problems
VIBRATION TESTING AND HUMAN RESPONSE
Introduction
Representation of a Vibration Environment
Pre-Test Procedures
Testing Procedures
Some Practical Information
Vibration Excitations on Humans
Human Response to Vibration
Regulation of Human Vibration
Problems
EXPERIMENTAL MODAL ANALYSIS
Introduction
Frequency Domain Formulation
Experimental Model Development
Curve Fitting of Transfer Functions
Laboratory Experiments
Commercial EMA Systems
Problems
VIBRATION DESIGN AND CONTROL
Introduction
Specification of Vibration Limits
Vibration Isolation
Balancing of Rotating Machinery
Balancing of Reciprocating Machines
Whirling of Shafts
Design through Modal Testing
Passive Control of Vibration
Active Control of Vibration
Control of Beam Vibrations
Problems
APPENDIX A: DYNAMIC MODELS AND ANALOGIES
Model Development
Analogies
Mechanical Elements
Electrical Elements
Thermal Elements
Fluid Elements
State-Space Models
Response Analysis and Simulation
APPENDIX B: NEWTONIAN AND LAGRANGIAN MECHANICS
Vector Kinematics
Newtonian (Vector) Mechanics
Lagrangian Mechanics
APPENDIX C: REVIEW OF LINEAR ALGEBRA
Vectors and Matrices
Vector-Matrix Algebra
Matrix Inverse
Vector Spaces
Determinants
System of Linear Equations
Quadratic Forms
Matrix Eigenvalue Problem
Matrix Transformations
Matrix Exponential
APPENDIX D: LAPLACE TRANSFORM
Introduction
Laplace Transform
Response Analysis
Transfer Function
APPENDIX E: DIGITAL FOURIER ANALYSIS AND FFT
Unification of the Three Fourier Transform Types
Fast Fourier Transform (FFT)
Discrete Correlation and Convolution
Digital Fourier Analysis Procedures
APPENDIX F: SOFTWARE TOOLS
SIMULINK
MATLAB
Control Systems Toolbox
LabVIEW
APPENDIX G: RELIABILITY CONSIDERATIONS FOR MULTI-COMPONENT UNITS
Failure Analysis
Bayes' Theorem
INDEX

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