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Status:
Available4.5
40 reviews
ISBN 10: 1439830371
ISBN 13: 9781439830376
Author: William J Bottega
A thorough study of the oscillatory and transient motion of mechanical and structural systems, Engineering Vibrations, Second Edition presents vibrations from a unified point of view, and builds on the first edition with additional chapters and sections that contain more advanced, graduate-level topics. Using numerous examples and case studies, the author reviews basic principles, incorporates advanced abstract concepts from first principles, and weaves together physical interpretation and fundamental principles with applied problem solving. This revised version combines the physical and mathematical facets of vibration, and emphasizes the connecting ideas, concepts, and techniques.
PRELIMINARIES
Degrees of Freedom
Equivalent Systems
Springs Connected in Parallel and in Series
A Brief Review of Complex Numbers
A Review of Elementary Dynamics
Concluding Remarks
Bibliography
Problems
FREE VIBRATION OF SINGLE DEGREE OF FREEDOM SYSTEMS
Free Vibration of Undamped Systems
Free Vibration of Systems with Viscous Damping
Coulomb (Dry Friction) Damping
Concluding Remarks
Bibliography
Problems
FORCED VIBRATION OF SINGLE DEGREE OF FREEDOM SYSTEMS – 1: PERIODIC EXCITATION
Standard Form of the Equation of Motion
Superposition
Harmonic Forcing
Structural Damping
Selected Applications
Response to General Periodic Loading
Concluding Remarks
Bibliography
Problems
FORCED VIBRATION OF SINGLE DEGREE OF FREEDOM SYSTEMS – 2: NONPERIODIC EXCITATION
Two Generalized Functions
Impulse Response
Response to Arbitrary Excitation
Response to Step Loading
Response to Ramp Loading
Transient Response by Superposition
Shock Spectra
Concluding Remarks
Bibliography
Problems
OPERATIONAL METHODS
The Laplace Transform
Free Vibrations
Forced Vibrations
Concluding Remarks
Bibliography
Problems
DYNAMICS OF MULTI-DEGREE OF FREEDOM SYSTEMS
Newtonian Mechanics of Discrete Systems
Lagrange’s Equations
Symmetry of the System Matrices
Concluding Remarks
Bibliography
Problems
FREE VIBRATION OF MULTI-DEGREE OF FREEDOM SYSTEMS
The General Free Vibration Problem and Its Solution
Unrestrained Systems
Properties of Modal Vectors
Systems with Viscous Damping
Evaluation of Amplitudes and Phase Angles
Concluding Remarks
Bibliography
Problems
FORCED VIBRATION OF MULTI-DEGREE OF FREEDOM SYSTEMS
Introduction
Modal Coordinates
General Motion in Terms of the Natural Modes
Decomposition of the Forced Vibration Problem
Solution of Forced Vibration Problems
Mode Isolation
Rayleigh Damping
Systems with General Viscous Damping
Concluding Remarks
Bibliography
Problems
DYNAMICS OF ONE-DIMENSIONAL CONTINUA
Mathematical Description of 1-D Continua
Characterization of Local Deformation
Longitudinal Motion of Elastic Rods
Torsional Motion of Elastic Rods
Transverse Motion of Strings and Cables
Transverse Motion of Elastic Beams
Geometrically Nonlinear Beam Theory
Translating 1-D Continua
Concluding Remarks
Bibliography
Problems
FREE VIBRATION OF ONE-DIMENSIONAL CONTINUA
The General Free Vibration Problem
Free Vibration of Uniform Second Order Systems
Free Vibration of Euler-Bernoulli Beams
Free Vibration of Euler-Bernoulli Beam-Columns
Free Vibration of Rayleigh Beams
Free Vibration of Timoshenko Beams
Normalization of the Modal Functions
Orthogonality of the Modal Functions
Evaluation of Amplitudes and Phase Angles
Concluding Remarks
Bibliography
Problems
FORCED VIBRATION OF ONE-DIMENSIONAL CONTINUA
Modal Expansion
Decomposition of the Forced Vibration Problem
Solution of Forced Vibration Problems
Steady State Response of One-Dimensional Continua with Structural Damping
Concluding Remarks
Bibliography
Problems
DYNAMICS OF TWO-DIMENSIONAL CONTINUA
Characterization of Local Deformation
Membranes
Elastic Plates
Concluding Remarks
Bibliography
Problems
FREE VIBRATION OF TWO-DIMENSIONAL CONTINUA
The Scalar Product and Orthogonality
The General Free Vibration Problem
Free Vibration of Ideal Membranes
Free Vibration of Kirchhoff Plates
Free Vibration of Uniformly Stretched von Karman Plates
Free Vibration of Mindlin Plates
Normalization of the Modal Functions
Orthogonality of the Modal Functions
Evaluation of Amplitudes and Phase Angles
Concluding Remarks
Bibliography
Problems
FORCED VIBRATION OF TWO-DIMENSIONAL CONTINUA
Mathematical Representation of Point Loads for Two-Dimensional Continua
Forced Vibration of Systems with One Dependent Variable
Forced Vibration of Systems with Multiple Dependent Variables: Mindlin Plates
Steady State Response of Two-Dimensional Continua with Structural Damping
Concluding Remarks
Bibliography
Problems
INDEX
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Tags: William J Bottega, Engineering, Vibrations
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