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Mechanical Vibrations Theory and Applications

ISBN-10: 1439062129
ISBN-13: 9781439062128
Edition: 2012
Authors: S. Graham Kelly
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Book details

List price: $204.95
Copyright year: 2012
Publisher: Course Technology
Publication date: 3/3/2011
Binding: Hardcover
Pages: 896
Size: 8.00" wide x 9.25" long x 1.50" tall
Weight: 3.938
Language: English

Dr. S. Graham Kelly has been a faculty member and administrator at The University of Akron since 1982. He is the author of one textbook in Vibrations, now in its second edition, another text on System Dynamics and Response, and the author of the Schaum's Outline in Mechanical Vibrations. Dr. Kelly has served The University of Akron in its administration as Associate Provost and most recently as Interim Dean of Engineering.

Introduction
The Study of Vibrations
Mathematical Modeling
Generalized Coordinates
Classification of Vibration
Dimensional Analysis
Simple Harmonic Motion
Review of Dynamics
Modeling of SDOF Systems
Introduction
Springs
Springs in Combination
Other Sources of Potential Energy
Viscous Damping
Energy Dissipated By Viscous Damping
Inertia Elements
External Sources
Free-Body Diagram Method
Static Deflections and Gravity
Small Angle or Displacement Assumption
Equivalent Systems Method
Free Vibrations of SDOF Systems
Introduction
Standard Form of Differential Equation
Free Vibrations of an Undamped System
Underdamped Free Vibrations
Critically Damped Free Vibrations
Overdamped Free Vibrations
Coulomb Damping
Hysteretic Damping
Other Forms of Damping
Harmonic Excitation of SDOF Systems
Introduction
Forced Response of an Undamped System Due to a Single-Frequency Excitation
Forced Response of a Viscously Damped System Subject to a Single-Frequency Harmonic Excitation
Frequency-squared Excitations
Response Sue to Harmonic Excitation of Support
Vibration Isolation
Vibration Isolation from Frequency-Squared Excitations
Practical Aspects of Vibration Isolation
Multifrequency Excitations
General Periodic Excitations
Seismic Vibration Measuring Instruments
Complex Representations
Systems with Coulomb Damping
Systems with Hysteretic Damping
Energy Harvesting
Transient Vibrations of One-Degree-Of-Freedom Systems
Introduction
Derivation of Convolution Integral
Response Due to a General Excitation
Excitations Whose Forms Change at Discrete Times
Transient Motion Due to Base Excitation
Laplace Transform Solutions
Transfer Functions
Numerical Methods
Shock Spectrum
Shock Isolation
Two-Degree-Of-Freedom Systems
Introduction
Derivation of the Equations of Motion
Natural Frequencies and Made Shapes
Free Response of Undamped Systems
Free Vibrations of a System with Viscous Damping
Principal Coordinates
Harmonic Response of Two-Degree-of Freedom Systems
Transfer Functions
Sinusoidal Transfer Function
Frequency Response
Dynamic Vibration Absorbers
Damped Vibration Absorbers
Vibration Dampers
Modeling of MDOF Systems
Introduction
Derivation of Differential Equations Using the Free-Body-Diagram Method
Lagrange�s Equations
Matrix Formulation of Differential Equations for Linear Systems
Stiffness Influence Coefficients
Flexibility Influence Coefficients
Inertia Influence Coefficients
Lumped-Mass Modeling of Continuous Systems
Free Vibrations of MDOF Systems
Introduction
Normal-Mode Solution
Natural Frequencies and Mode Shapes
General Solution
Special Cases
Energy Scalar Products
Properties of Natural Frequencies and Mode Shapes
Normalized Mode Shapes
Rayleigh�s Quotient
Forced Vibrations of MDOF Systems
Vibrations of Continuous Systems
Finite Element Method
Nonlinear Vibrations
Random Vibrations

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