1. INTRODUCTION. The Study of Vibrations. Mathematical Modeling. Generalized Coordinates. Classification of Vibration. Dimensional Analysis. Simple Harmonic Motion. Review of Dynamics.
2. MODELING OF SDOF SYSTEMS. Introduction. Springs. Springs in Combination. Other Sources of Potential Energy. Viscous Damping. Energy Dissipated By Viscous Damping. Inertia Elements. External Sources. FreeBody Diagram Method. Static Deflections and Gravity. Small Angle or Displacement Assumption. Equivalent Systems Method.
3. FREE VIBRATIONS OF SDOF SYSTEMS. Introduction. Standard Form of Differential Equation. Free Vibrations of an Undamped System. Underdamped Free Vibrations. Critically Damped Free Vibrations. Overdamped Free Vibrations. Coulomb Damping. Hysteretic Damping. Other Forms of Damping.
4. HARMONIC EXCITATION OF SDOF SYSTEMS. Introduction. Forced Response of an Undamped System Due to a SingleFrequency Excitation. Forced Response of a Viscously Damped System Subject to a SingleFrequency Harmonic Excitation. Frequencysquared Excitations. Response Sue to Harmonic Excitation of Support. Vibration Isolation. Vibration Isolation from FrequencySquared Excitations. Practical Aspects of Vibration Isolation. Multifrequency Excitations. General Periodic Excitations. Seismic Vibration Measuring Instruments. Complex Representations. Systems with Coulomb Damping. Systems with Hysteretic Damping. Energy Harvesting.
5. TRANSIENT VIBRATIONS OF ONEDEGREEOFFREEDOM SYSTEMS. Introduction. Derivation of Convolution Integral. Response Due to a General Excitation. Excitations Whose Forms Change at Discrete Times. Transient Motion Due to Base Excitation. Laplace Transform Solutions. Transfer Functions. Numerical Methods. Shock Spectrum. Shock Isolation.
6. TWODEGREEOFFREEDOM SYSTEMS. Introduction. Derivation of the Equations of Motion. Natural Frequencies and Made Shapes. Free Response of Undamped Systems. Free Vibrations of a System with Viscous Damping. Principal Coordinates. Harmonic Response of TwoDegreeof Freedom Systems. Transfer Functions. Sinusoidal Transfer Function. Frequency Response. Dynamic Vibration Absorbers. Damped Vibration Absorbers. Vibration Dampers.
7. MODELING OF MDOF SYSTEMS. Introduction. Derivation of Differential Equations Using the FreeBodyDiagram Method. Lagrange’s Equations. Matrix Formulation of Differential Equations for Linear Systems. Stiffness Influence Coefficients. Flexibility Influence Coefficients. Inertia Influence Coefficients. LumpedMass Modeling of Continuous Systems.
8. FREE VIBRATIONS OF MDOF SYSTEMS. Introduction. NormalMode Solution. Natural Frequencies and Mode Shapes. General Solution. Special Cases. Energy Scalar Products. Properties of Natural Frequencies and Mode Shapes. Normalized Mode Shapes. Rayleigh’s Quotient. Principal Coordinates. Determination of Natural Frequencies and Mode Shapes. Proportional Damping. General Viscous Damping.
9. FORCED VIBRATIONS OF MDOF SYSTEMS. Introduction. Harmonic Excitations. Sinusoidal Transfer Functions. Modal Analysis for Undamped Systems and Systems With Proportional Damping. Modal Analysis for Systems With General Damping. Numerical Solutions.
10. VIBRATIONS OF CONTINUOUS SYSTEMS. Introduction. General Method. SecondOrder Systems: Torsional Oscillations of a Circular Shaft. Transverse Beam Vibrations. Energy Methods.
11. FINITE ELEMENT METHOD. Introduction. Assumed Modes Method. General Method. The Bar Element. Beam Element. Global Matrices.
12. NONLINEAR VIBRATIONS. Introduction. Sources of Nonlinearity. Qualitative Analysis of Nonlinear Systems. Quantitative Method of Analysis. Free Vibrations of SDOF Systems. Forced Vibrations of SDOF Systems with Cubic Nonlinearities. MDOF Systems. Continuous Systems. Chaos.
13. RANDOM VIBRATIONS. Introduction. Probability Density Functions. Standard Deviation. Autocorrelation. Fourier Transforms. Power Spectral Density. Wide Band and Narrow Band Processes. Response of SODF Systems. Response of MDOF Systems.
Solution Manual for Mechanical Vibrations: Theory and Applications 1st Edition  9781439062128
Solution ManualsA Descriptive Solution Manual for Mechanical Vibrations: Theory and Applications 1st Edition  9781439062128
By S. Graham Kelly
ISBN10: 1439062129 ISBN13: 9781439062128
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