ISBN-10:
1420080563
ISBN-13:
9781420080568
Pub. Date:
06/16/2009
Publisher:
Taylor & Francis
Mechanical Vibration: Analysis, Uncertainties, and Control, Third Edition / Edition 3

Mechanical Vibration: Analysis, Uncertainties, and Control, Third Edition / Edition 3

by Haym Benaroya, Mark Nagurka

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Product Details

ISBN-13: 9781420080568
Publisher: Taylor & Francis
Publication date: 06/16/2009
Series: Mechanical Engineering Series
Edition description: Older Edition
Pages: 992
Product dimensions: 6.50(w) x 9.50(h) x 2.40(d)

Table of Contents

Introduction and Background

Basic Concepts of Systems and Structures

Basic Concepts of Vibration

Basic Concepts of Random Vibration

Types of System Models

Basic Dynamics

Units

Concluding Summary

Single Degree-of-Freedom Vibration: Discrete Models

Motivating Examples

Mathematical Modeling: Deterministic

Undamped Free Vibration

Harmonic Forcing with no Damping

Concepts Summary

Single Degree-of-Freedom Vibration: Discrete Models with Damping

Damping

Free Vibration with Viscous Damping

Free Response with Coulomb Damping

Forced Vibration with Viscous Damping

Forced Harmonic Vibration

Periodic but Not Harmonic Excitation

Concepts Summary

Single Degree-of-Freedom Vibration: General Loading and Advanced Topics

Arbitrary Loading: Laplace Transform

Step Loading

Impulsive Excitation

Arbitrary Loading

Introduction to Lagrange.s Equation

Notions of Randomness

Notions of Control

The Inverse Problem

A Self-Excited System and its Stability

Solution Analysis and Design Techniques

A Model of a Bouncing Ball

Concepts Summary

Single Degree-of-Freedom Vibration: Probabilistic Forces

Introduction

Example Problems and Motivation

Random Variables

Mathematical Expectation

Useful Probability Densities

Two Random Variables

Random Processes

Random Vibration

Concepts Summary

Vibration Control

Motivation

Approaches to Controlling Vibration

Feedback Control

Performance of Feedback Control Systems

Control of Response

Sensitivity to Parameter Variations

State Variable Models

Concepts Summary

Variational Principles and Analytical Dynamics

Introduction

Virtual Work

Lagrange.s Equation of Motion

Hamilton’s Principle

Lagrange’s Equation with Damping

Concepts Summary

Multi Degree-of-Freedom Vibration: Introductory Topics

Example Problems and Motivation

The Concepts of Stiffness and Flexibility

Derivation of Equations of Motion

Undamped Vibration

Direct Method: Free Vibration with Damping

Modal Analysis

Real and Complex Modes

Concepts Summary

Multi Degree-of-Freedom Vibration: Advanced Topics

Overview

Unrestrained Systems

The Geometry of the Eigenvalue Problem

Periodic Structures

Inverse Vibration

Sloshing of Fluids in Containers

Stability of Motion

Multivariable Control

MDOF Stochastic Response

Stochastic Control

Rayleigh.s Quotient

Monte Carlo Simulation

Concepts Summary

Continuous Models for Vibration

Continuous Limit of a Discrete Formulation

Vibration of String

Longitudinal (Axial) Vibration of Beams

Torsional Vibration of Shafts

10.5 Transverse Vibration of Beams

10.6 Beam Vibration: Special Problems

Concepts Summary

Continuous Models for Vibration: Advanced Models

Vibration of Membranes

Vibration of Plates

Random Vibration of Continuous Structures

Approximate Methods

Variables That Do Not Separate

Concepts Summary

Nonlinear Vibration

Examples of Nonlinear Vibration

The Phase Plane

Perturbation Methods

The Mathieu Equation

The van der Pol Equation

Motion in the Large

Nonlinear Control

Advanced Topics

Concluding Summary

Appendices

A Mathematical Concepts for Vibration

Complex Numbers

Matrices

Taylor Series and Linearization

Ordinary Differential Equations

Laplace Transforms

Fourier Series and Transforms

Partial Differential Equations

Index

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