Engineering Vibrations 2nd Bottega Solution Manual

Product details:

• ISBN-10 ‏ : ‎ 1439830355
• ISBN-13 ‏ : ‎ 978-1439830352
• 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 to reinforce concepts, the author reviews basic principles, incorporates advanced abstract concepts from first principles, and weaves together physical interpretation and fundamental principles with applied problem solving. For each class of system, the text explores the fundamental dynamics and studies free and forced vibrations. This revised version combines the physical and mathematical facets of vibration, and emphasizes the connecting ideas, concepts, and techniques.

Table contents:

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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