Rao Mechanical Vibrations 5th

Rao Mechanical Vibrations 5th
اسم المؤلف
Singiresu S. Rao
التاريخ
21 يوليو 2016
المشاهدات
التقييم
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كتاب
Rao Mechanical Vibrations 5th – Full Text Book
Preface xi
Acknowledgments xv
List of Symbols xvi
CHAPTER
Fundamentals of Vibration
 Preliminary Remarks
 Brief History of the Study of Vibration
 Origins of the Study of Vibration
 From Galileo to Rayleigh
 Recent Contributions
 Importance of the Study of Vibration
 Basic Concepts of Vibration
 Vibration
 Elementary Parts of
Vibrating Systems
 Number of Degrees of Freedom
 Discrete and Continuous Systems
 Classification of Vibration
 Free and Forced Vibration
 Undamped and Damped Vibration
 Linear and Nonlinear Vibration
 Deterministic and
Random Vibration
 Vibration Analysis Procedure
 Spring Elements
 Nonlinear Springs
 Linearization of a
Nonlinear Spring
 Spring Constants of Elastic Elements
 Combination of Springs
iv
 Spring Constant Associated with the
Restoring Force due to Gravity
 Mass or Inertia Elements
 Combination of Masses
 Damping Elements
 Construction of Viscous Dampers
 Linearization of a
Nonlinear Damper
 Combination of Dampers
 Harmonic Motion
 Vectorial Representation of
Harmonic Motion
 Complex-Number Representation
of Harmonic Motion
 Complex Algebra
 Operations on Harmonic Functions
 Definitions and Terminology
 Harmonic Analysis
 Fourier Series Expansion
 Complex Fourier Series
 Frequency Spectrum
 Time- and Frequency-Domain
Representations
 Even and Odd Functions
 Half-Range Expansions
 Numerical Computation
of Coefficients
 Examples Using MATLAB
 Vibration Literature
Chapter Summary
References
Review Questions
Problems
Design Projects
Free Vibration of Single-Degree-of-Freedom
Systems
 Introduction
 Free Vibration of an Undamped
Translational System
 Equation of Motion Using Newton s
Second Law of Motion
 Equation of Motion Using Other
Methods
 Equation of Motion of a Spring-Mass
System in Vertical Position
 Solution
 Harmonic Motion
 Free Vibration of an Undamped
Torsional System
 Equation of Motion
 Solution
 Response of First Order Systems
and Time Constant
 Rayleigh s Energy Method
 Free Vibration with Viscous Damping
 Equation of Motion
 Solution
 Logarithmic Decrement
 Energy Dissipated in Viscous
Damping
 Torsional Systems with Viscous
Damping
 Graphical Representation of Characteristic Roots
and Corresponding Solutions
 Roots of the Characteristic Equation
 Graphical Representation of Roots and
Corresponding Solutions
 Parameter Variations and Root Locus
Representations
 Interpretations of and
in s-plane
 Root Locus and Parameter
Variations
 Free Vibration with Coulomb Damping
 Equation of Motion
 Solution
 Torsional Systems with Coulomb
Damping
vn, vd, z, t
 Free Vibration with Hysteretic Damping
 Stability of Systems
 Examples Using MATLAB
Chapter Summary
References
Review Questions
Problems
Design Projects
CHAPTER
Harmonically Excited Vibration
 Introduction
 Equation of Motion
 Response of an Undamped System
Under Harmonic Force
 Total Response
 Beating Phenomenon
 Response of a Damped System Under
Harmonic Force
 Total Response
 Quality Factor and Bandwidth
 Response of a Damped System
Under
 Response of a Damped System Under the
Harmonic Motion of the Base
 Force Transmitted
 Relative Motion
 Response of a Damped System Under Rotating
Unbalance
 Forced Vibration with Coulomb Damping
 Forced Vibration with Hysteresis Damping
 Forced Motion with Other Types of
Damping
 Self-Excitation and Stability Analysis
 Dynamic Stability Analysis
 Dynamic Instability Caused by Fluid
Flow
 Transfer-Function Approach
 Solutions Using Laplace Transforms
 Frequency Transfer Functions
 Relation Between the General Transfer
function T(s) and the Frequency Transfer
Function
 Representation of Frequency-Response
Characteristics
 Examples Using MATLAB
Chapter Summary
References
Review Questions
Problems
Design Projects
CHAPTER
Vibration Under General Forcing
Conditions
 Introduction
 Response Under a General
Periodic Force
 First-Order Systems
 Second-Order Systems
 Response Under a Periodic Force
of Irregular Form
 Response Under a Nonperiodic Force
 Convolution Integral
 Response to an Impulse
 Response to a General Forcing
Condition
 Response to Base Excitation
 Response Spectrum
 Response Spectrum for Base
Excitation
 Earthquake Response Spectra
 Design Under a Shock
Environment
 Laplace Transform
 Transient and Steady-State
Responses
 Response of First-Order Systems
 Response of Second-Order Systems
 Response to Step Force
 Analysis of the Step Response
 Description of Transient
Response
 Numerical Methods
 Runge-Kutta Methods
 Response to Irregular Forcing Conditions Using
Numerical Methods
 Examples Using MATLAB
Chapter Summary
References
Review Questions
Problems
Design Projects
CHAPTER
Two-Degree-of-Freedom Systems
 Introduction
 Equations of Motion for Forced
Vibration
 Free Vibration Analysis of an Undamped
System
 Torsional System
 Coordinate Coupling and Principal
Coordinates
 Forced-Vibration Analysis
 Semidefinite Systems
 Self-Excitation and Stability
Analysis
 Transfer-Function Approach
 Solutions Using Laplace Transform
 Solutions Using Frequency Transfer
Functions
 Examples Using MATLAB
Chapter Summary
References
Review Questions
Problems
Design Projects
CHAPTER
Multidegree-of-Freedom Systems
 Introduction
 Modeling of Continuous Systems as Multidegreeof-
Freedom Systems
 Using Newton s Second Law to Derive Equations
of Motion
 Influence Coefficients
 Stiffness Influence Coefficients
 Flexibility Influence Coefficients
 Inertia Influence Coefficients
 Potential and Kinetic Energy Expressions in
Matrix Form
 Generalized Coordinates and Generalized
Forces
 Using Lagrange s Equations to Derive Equations
of Motion
 Equations of Motion of Undamped Systems in
Matrix Form
 Eigenvalue Problem
 Solution of the Eigenvalue Problem
 Solution of the Characteristic
(Polynomial) Equation
 Orthogonality of Normal Modes
 Repeated Eigenvalues
 Expansion Theorem
 Unrestrained Systems
 Free Vibration of Undamped Systems
 Forced Vibration of Undamped Systems Using
Modal Analysis
 Forced Vibration of Viscously Damped
Systems
 Self-Excitation and Stability Analysis
 Examples Using MATLAB
Chapter Summary
References
Review Questions
Problems
Design Project
CHAPTER
Determination of Natural Frequencies and
Mode Shapes
 Introduction
 Dunkerley s Formula
 Rayleigh s Method
 Properties of Rayleigh s Quotient
 Computation of the Fundamental Natural
Frequency
 Fundamental Frequency of Beams and
Shafts
 Holzer s Method
 Torsional Systems
 Spring-Mass Systems
 Matrix Iteration Method
 Convergence to the Highest Natural
Frequency
 Computation of Intermediate Natural
Frequencies
 Jacobi s Method
 Standard Eigenvalue Problem
 Choleski Decomposition
 Other Solution Methods
 Examples Using MATLAB
Chapter Summary
References
Review Questions
Problems
Design Projects
CHAPTER
Continuous Systems
 Introduction
 Transverse Vibration of a String or
Cable
 Equation of Motion
 Initial and Boundary Conditions
 Free Vibration of a Uniform
String
 Free Vibration of a String with Both Ends
Fixed
 Traveling-Wave Solution
 Longitudinal Vibration of a Bar or Rod
 Equation of Motion
and Solution
 Orthogonality of Normal
Functions
 Torsional Vibration of a Shaft or Rod
 Lateral Vibration of Beams
 Equation of Motion
 Initial Conditions
 Free Vibration
 Boundary Conditions
 Orthogonality of Normal
Functions
 Forced Vibration
 Effect of Axial Force
 Effects of Rotary Inertia and Shear
Deformation
 Other Effects
 Vibration of Membranes
 Equation of Motion
 Initial and Boundary Conditions
 Rayleigh s Method
 The Rayleigh-Ritz Method
 Examples Using MATLAB
Chapter Summary
References
Review Questions
Problems
Design Project
CHAPTER
Vibration Control
 Introduction
 Vibration Nomograph and Vibration
Criteria
 Reduction of Vibration at the Source
 Balancing of Rotating Machines
 Single-Plane Balancing
 Two-Plane Balancing
 Whirling of Rotating Shafts
 Equations of Motion
 Critical Speeds
 Response of the System
 Stability Analysis
 Balancing of Reciprocating Engines
 Unbalanced Forces Due to Fluctuations in
Gas Pressure
 Unbalanced Forces Due to Inertia of the
Moving Parts
 Balancing of Reciprocating
Engines
 Control of Vibration
 Control of Natural Frequencies
 Introduction of Damping
 Vibration Isolation
 Vibration Isolation System with Rigid
Foundation
 Vibration Isolation System with Base
Motion
 Vibration Isolation System with Flexible
Foundation
 Vibration Isolation System with Partially
Flexible Foundation
 Shock Isolation
 Active Vibration Control
 Vibration Absorbers
 Undamped Dynamic Vibration
Absorber
 Damped Dynamic Vibration
Absorber
 Examples Using MATLAB
Chapter Summary
References
Review Questions
Problems
Design Project
CHAPTER
Vibration Measurement and
Applications
 Introduction
 Transducers
 Variable Resistance Transducers
 Piezoelectric Transducers
 Electrodynamic Transducers
 Linear Variable Differential Transformer
Transducer
 Vibration Pickups
 Vibrometer
 Accelerometer
 Velometer
 Phase Distortion
 Frequency-Measuring Instruments
 Vibration Exciters
 Mechanical Exciters
 Electrodynamic Shaker
 Signal Analysis
 Spectrum Analyzers
 Bandpass Filter
 Constant-Percent Bandwidth and
Constant-Bandwidth Analyzers
 Dynamic Testing of Machines
and Structures
 Using Operational Deflection-Shape
Measurements
 Using Modal Testing
 Experimental Modal Analysis
 The Basic Idea
 The Necessary Equipment
 Digital Signal Processing
 Analysis of Random Signals
 Determination of Modal Data
from Observed Peaks
 Determination of Modal Data
from Nyquist Plot
 Measurement of Mode Shapes
 Machine Condition Monitoring
and Diagnosis
 Vibration Severity Criteria
 Machine Maintenance Techniques
 Machine Condition Monitoring
Techniques
 Vibration Monitoring Techniques
 Instrumentation Systems
 Choice of Monitoring Parameter
 Examples Using MATLAB
Chapter Summary
References
Review Questions
Problems
Design Projects
CHAPTER
Numerical Integration Methods in
Vibration Analysis
 Introduction
 Finite Difference Method
 Central Difference Method for Single-Degree-of-
Freedom Systems
 Runge-Kutta Method for Single-Degree-of-
Freedom Systems
 Central Difference Method for Multidegree-of-
Freedom Systems
 Finite Difference Method for Continuous
Systems
 Longitudinal Vibration of Bars
 Transverse Vibration of Beams
 Runge-Kutta Method for Multidegree-of-
Freedom Systems
 Houbolt Method
 Wilson Method
 Newmark Method
 Examples Using MATLAB
Chapter Summary
References
Review Questions
Problems
CHAPTER
Finite Element Method
 Introduction
 Equations of Motion of an Element
 Mass Matrix, Stiffness Matrix, and Force
Vector
 Bar Element
 Torsion Element
 Beam Element
 Transformation of Element Matrices and
Vectors
 Equations of Motion of the Complete System of
Finite Elements
 Incorporation of Boundary
Conditions
 Consistent- and Lumped-Mass Matrices
 Lumped-Mass Matrix for a Bar
Element
 Lumped-Mass Matrix for a Beam
Element
 Lumped-Mass Versus Consistent-Mass
Matrices
 Examples Using MATLAB
Chapter Summary
References
Review Questions
Problems
Design Projects
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