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Vibrations 2nd Edition by Balakumar Balachandran, Edward Magrab 9780534552060 0534552064

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Author(s): Balakumar Balachandran, Edward B. Magrab
ISBN(s): 9780534552060, 0534552064
Edition: 2
File Details: PDF, 5.46 MB
Year: 2008
Language: english
SKU: EB-2353190 Category: Tags: ,

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ISBN 10: 0534552064

ISBN 13: 9780534552060

Author: Balakumar Balachandran, Edward B. Magrab

Featuring outstanding coverage of linear and non-linear single degree-of-freedom and multi-degree-of-freedom systems, this book teaches the use of vibration principles in a broad spectrum of applications. In this introduction for undergraduate students, authors Balakumar Balachandran and Edward B. Magrab present vibration principles in a general context and illustrate the use of these principles through carefully chosen examples from different disciplines. Their balanced approach integrates principles of linear and nonlinear vibrations with modeling, analysis, prediction, and measurement so that physical understanding of the vibratory phenomena and their relevance for engineering design can be emphasized. The authors also provide design guidelines that are applicable to a wide range of vibratory systems. MATLAB is thoroughly integrated throughout the text.

Table of contents:

Chapter 1

  • Introduction

  • Kinematics of Particles and Rigid Bodies

  • Generalized Coordinates and Degrees of Freedom

  • Particle and Rigid-Body Dynamics

  • Work and Energy

  • Exercises

Chapter 2

  • Introduction

  • Inertia Elements

  • Introduction

  • Linear Springs

  • Nonlinear Springs

  • Other Forms of Potential Energy Elements

  • Dissipation Elements

  • Viscous Damping

  • Other Forms of Dissipation

  • Introduction

  • A Microelectromechanical System

  • The Human Body

  • A Ski

  • Cutting Process

  • Design for Vibration

  • Exercises

Chapter 3

  • Introduction

  • Force-Balance Methods

  • Moment-Balance Methods

  • Natural Frequency and Damping Factor

  • Natural Frequency

  • Damping Factor

  • Governing Equations for Different Types of Damping

  • System with Base Excitation

  • System with Unbalanced Rotating Mass

  • System with Added Mass Due to a Fluid

  • Lagrange’s Equations

  • Summary

  • Exercises

Chapter 4

  • Introduction

  • Introduction

  • Initial Velocity

  • Initial Displacement

  • Initial Displacement and Initial Velocity

  • Stability of a Single Degree-of-Freedom System

  • Machine Tool Chatter

  • Nonlinear Stiffness

  • Nonlinear Damping

  • Exercises

Chapter 5

  • Introduction

  • Excitation Applied from t = 0

  • Excitation Present for All Time

  • Response of Undamped System and Resonance

  • Magnitude and Phase Information

  • Introduction

  • Curve Fitting and Parameter Estimation

  • Sensitivity to System Parameters and Filter Characteristics

  • Relationship of the Frequency-Response Function to the Transfer Function

  • Alternative Forms of the Frequency-Response Function

  • System with Rotating Unbalanced Mass

  • System with Base Excitation

  • Acceleration Measurement: Accelerometer

  • Vibration Isolation

  • Energy Dissipation and Equivalent Damping

  • Response to Excitation with Harmonic Components

  • Influence of Nonlinear Stiffness on Forced Response

  • Exercises

Chapter 6

  • Introduction

  • Response to Impulse Excitation

  • Response to Step Input

  • Response to Ramp Input

  • Spectral Energy of the Response

  • Response to Rectangular Pulse Excitation

  • Response to Half-Sine Wave Pulse

  • Impact Testing

  • Exercises

Chapter 7

  • Introduction

  • Governing Equations

  • Force-Balance and Moment-Balance Methods

  • General Form of Equations for a Linear Multi-Degree-of-Freedom System

  • Lagrange’s Equations of Motion

  • Undamped Systems: Natural Frequencies and Mode Shapes

  • Undamped Systems: Properties of Mode Shapes

  • Characteristics of Damped Systems

  • Conservation of Energy

  • Rotating Shafts on Flexible Supports

  • Stability

  • Exercises

Chapter 8

  • Introduction

  • General Solution

  • Response to Initial Conditions

  • Response to Harmonic Forcing and the Frequency-Response Function

  • State-Space Formulation

  • Laplace Transform Approach

  • Response to Arbitrary Forcing

  • Response to Initial Conditions

  • Force Transmitted to a Boundary

  • Transfer Functions and Frequency-Response Functions

  • Vibration Absorbers

  • Linear Vibration Absorber

  • Centrifugal Pendulum Vibration Absorber

  • Bar Slider System

  • Pendulum Absorber

  • Particle Impact Damper

  • Vibration Isolation: Transmissibility Ratio

  • Systems with Moving Base

  • Summary

  • Exercises

Chapter 9

  • Introduction

  • Preliminaries from Solid Mechanics

  • Potential Energy, Kinetic Energy, and Work

  • Extended Hamilton’s Principle and Derivation of Equations of Motion

  • Beam Equation for a General Case

  • Introduction

  • Natural Frequencies, Mode Shapes, and Orthogonality of Modes

  • Effects of Boundary Conditions

  • Effects of Stiffness and Inertial Elements Attached at an Interior Location

  • Beams with an Interior Mass, Spring, and Single Degree-of-Freedom System Attached Simultaneously

  • Effects of an Axial Force and an Elastic Foundation on the Natural Frequency

  • Tapered Beams

  • Forced Oscillations

  • Summary

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