MECHANICAL VIBRATIONS
Ouvrage 0-13-120768-7 : MECHANICAL VIBRATIONS
Table of Contents
(NOTE- Each chapter concludes with Examples Using MATLAB, C++ Program,
Fortran Program, References, Review Questions, Problems, and Design
Projects.)
1. FUNDAMENTALS OF VIBRATION.
Preliminary Remarks. Brief History of Vibration. Importance of the Study
of Vibration. Basic Concepts of Vibration. Classification of Vibration.
Vibration Analysis Procedure. Spring Elements. Mass or Inertia Elements.
Damping Elements. Harmonic Motion. Harmonic Analysis. Vibration
Literature.
2. FREE VIBRIATION OF SINGLE DEGREE OF FREEDOM SYSTEMS.
Introduction. Free Vibration of an Undamped Translational System. Free
Vibration of an Undamped Torsional System. Stability Conditions.
Rayleighs Energy Method. Free Vibration with Viscous Damping. Free
Vibration with Coulomb Damping. Free Vibration with Hysteretic Damping.
3. HARMONICALLY EXCITED VIBRATION.
Introduction. Equation of Motion. Response of an Undamped System Under
Harmonic Force. Response of a Damped System Under Harmonic Force.
Response of a Damped System Under F(t) = F. Response of a Damped System
Under the Harmonic Motion of the Base. 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.
4. VIBRATION UNDER GENERAL FORCING CONDITIONS.
Introduction. Response Under a General Periodic Force. Response Under a
Periodic Force of Irregular Form. Response Under a Nonperiodic Force.
Convolution Integral. Response Spectrum. Laplace Transformation.
Response to Irregular Forcing Conditions Using. Numerical Methods
Computer Programs.
5. 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.
6. MULTIDEGREE OF FREEDOM SYSTEMS.
Introduction. Modeling of Continuous Systems as Multidegree of Freedom
Systems. Using Newtons Second Law to Derive Equations of Motion.
Influence Coefficients. Potential and Kinetic Energy Expressions in
Matrix Form. Generalized Coordinates and Generalized Forces. Using
Lagranges Equations to Derive Equations of Motion. Equations of Motion
of Undamped Systems in Matrix Form. Eigenvalue Problem. Solution of the
Eigenvalue Problem. Expansion Theorem. Unrestrained Systems. Free
Vibration of Undamped Systems. Forced Vibration of Undamped Systems.
Forced Vibration of Viscously Damped Systems. Self-Excitation and
Stability Analysis.
7. DETERMINATION OF NATURAL FREQUENCIES AND MODE SHAPES.
Introduction. Dunkerleys Formula. Rayleighs Method. Holzers Method.
Matrix Iteration Method. Jacobis Method. Standard Eigenvalue Problem.
8. CONTINUOUS SYSTEMS.
Introduction. Transverse Vibration of a String or Cable. Longitudinal
Vibration of a Bar or Rod. Torsional Vibration of a Shaft or Rod.
Lateral Vibration of Beams. Vibration of Membranes. Rayleighs Method.
The Rayleigh-Ritz Method.
9. VIBRATION CONTROL.
Introduction. Reduction of Vibration at the Source. Balancing of
Rotating Machines. Whirling of Rotating Shafts. Balancing of
Reciprocating Engines. Control of Vibration. Control of Natural
Frequencies. Introduction of Damping. Vibration Isolation. Vibration
Absorbers.
10. VIBRATION MEASUREMENT AND APPLICATIONS.
Introduction. Transducers. Vibration pickups. Frequency Measuring
Instruments. Vibration Exciters. Signal Analysis. Dynamic Testing of
Machines and Structures. Experimental Modal Analysis. Machine condition
monitoring and diagnosis.
11. 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. Runge-Kutta
Method for Multidegree of Freedom Systems. Houbold Method. Wilson
Method. Newmark Method.
12. FINITE ELEMENT METHOD.
Introduction. Equations of Motion of an Element. Mass Matrix, Stiffness
Matrix, and Force Vector. 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.
13. NONLINEAR VIBRATION.
Introduction. Examples of Nonlinear Vibration Problems. Exact Methods.
Approximate Analytical Methods. Subharmonic and Superharmonic
Oscillations. Systems with Time-Dependent Coefficients (Mathieu
Equation). Graphical Methods. Stability of Equilibrium States. Limit
Cycles. Chaos. Numerical Methods.
14. RANDOM VIBRATION.
Introduction. Random Variables and Random Processes. Probability
Distribution. Mean Value and Standard Deviation. Joint Probability
Distribution of Several Random Variables. Correlation Functions of a
Random Process. Stationary Random Process. Gaussian Random Process.
Fourier Analysis. Power Spectral Density. Wide-Band and Narrow-Band
Processes. Response of a Single Degree of Freedom System. Response Due
to Stationary Random Excitations. Response of a Multidegree of Freedom
System.
Appendix A- Mathematical Relationships.
Appendix B- Deflection of Beams and Plates.
Appendix C- Matrices.
Appendix D- Laplace Transform Pairs.
Appendix E- Units.
Appendix F- Introduction to MATLAB. References.
Answers to Selected Problems.
Index.
Auteur : RAO
Editeur : PRENTICE HALL
Nombre de pages : 600
Date de publication : 05 2003
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