Theory of Vibration with Applications

ISBN-10: 0139153233

ISBN-13: 9780139153235

Edition: 4th 1993

List price: $85.00
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This fourth edition of this volume features a new chapter on computational methods that presents the basic principles on which most modern computer programs are developed. It introduces an example on rotor balancing and expands on the section on shock spectrum and isolation. It adds coverage of the methods of assumed modes and incorporates a new section on suspension bridges to illustrate the application of the continuos system theory to simplified models for the calculation of natural frequencies.
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Book details

List price: $85.00
Edition: 4th
Copyright year: 1993
Publisher: Prentice Hall PTR
Binding: Hardcover
Pages: 546
Size: 7.17" wide x 9.53" long x 1.02" tall
Weight: 2.354
Language: English

The SI System of Units
Oscillatory Motion
Harmonic Motion
Periodic Motion
Vibration Terminology
Free Vibration
Vibration Model
Equations of Motion: Natural Frequency
Energy Method
Rayleigh Method: Effective Mass
Principle of Virtual Work
Viscously Damped Free Vibration
Logarithmic Decrement
Coulomb Damping
Harmonically Excited Vibration
Forced Harmonic Vibration
Rotating Unbalance
Rotor Unbalance
Whirling of Rotating Shafts
Support Motion
Vibration Isolation
Energy Dissipated by Damping
Equivalent Viscous Damping
Structural Damping
Sharpness of Resonance
Vibration-Measuring Instruments
Transient Vibration
Impulse Excitation
Arbitrary Excitation
Laplace Transform Formulation
Pulse Excitation and Rise Time
Shock Response Spectrum
Shock Isolation
Finite Difference Numerical Computation
Runge-Kutta Method (Method 2)
Systems With Two Or More Degrees of Freedom
The Normal Mode Analysis
Initial Conditions
Coordinate Coupling
Forced Harmonic Vibration
Digital Computation
Vibration Absorber
Centrifugal Pendulum Vibration Absorber
Vibration Damper
Properties of Vibrating Systems
Flexibility Influence Coefficients
Reciprocity Theorem
Stiffness Influence Coefficients
Stiffness Matrix of Beam Elements
Static Condensation for Pinned Joints
Orthogonality of Eigenvectors
Modal Matrix P
Decoupling Forced Vibration Equations
Modal Damping in Forced Vibration
Normal Mode Summation
Equal Roots
Unrestrained (Degenerate) Systems
Lagrange's Equation
Generalized Coordinates
Virtual Work
Lagrange's Equation
Kinetic Energy, Potential Energy, and Generalized Force in Terms of Generalized Coordinates q
Assumed Mode Summation
Computational Methods
Root Solving
Gauss Elimination
Matrix Iteration
Convergence of the Iteration Procedure
Convergence to Higher Modes
The Dynamic Matrix
Transformation of Coordinates (Standard Computer Form)
Systems with Discrete Mass Matrix
Cholesky Decomposition
Jacobi Diagonalization
Computer Program Notes
Description of Computer Programs
Vibration of Continuous Systems
Vibrating String
Longitudinal Vibration of Rods
Torsional Vibration of Rods
Vibration of Suspension Bridges
Euler Equation for Beams
Effect of Rotary Inertia and Shear Deformation
System with Repeated Identical Sections
Introduction to the Finite Element Method
Element Stiffness and Mass
Stiffness and Mass for the Beam Element
Transformation of Coordinates (Global Coordinates)
Element Stiffness and Element Mass in Global Coordinates
Vibrations Involving Beam Elements
Spring Constraints on Structure
Generalized Force for Distributed Load
Generalized Force Proportional to Displacement
Mode-Summation Procedures for Continuous Systems
Mode-Summation Method
Beam Orthogonality Including Rotary Inertia and Shear Deformation
Normal Modes of Constrained Structures
Mode-Acceleration Method
Component-Mode Synthesis
Classical Methods
Rayleigh Method
Dunkerley's Equation
Rayleigh-Ritz Method
Holzer Method
Digital Computer Program for the Torsional System
Myklestad's Method for Beams
Coupled Flexure-Torsion Vibration
Transfer Matrices
Systems with Damping
Geared System
Branched Systems
Transfer Matrices for Beams
Random Vibrations
Random Phenomena
"Time Averaging and Expected Value
Frequency Response Function
Probability Distribution
Power Spectrum and Power Spectral Density
Fourier Transforms
FTs and Response
Nonlinear Vibrations
Phase Plane
Conservative Systems
Stability of Equilibrium
Method of Isoclines
Perturbation Method
Method of Iteration
Self-Excited Oscillations
Runge-Kutta Method
App. A: Specifications of Vibration Bounds
App. B: Introduction to Laplace Transformation
App. C: Determinants and Matrices
App. D: Normal Modes of Uniform Beams
App. E: Lagrange's Equation
App. F: Computer Programs
Answers to Selected Problems
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