Preliminaries Degrees of Freedom Equivalent Systems Springs Connected in Parallel and in Series A Brief Review of Complex Numbers A Review of Elementary Dynamics Free vibration of single degree of freedom systems Free Vibration of Undamped Systems Free Vibration of Systems with Viscous Damping Coulomb (Dry Friction) Damping Forced vibration of single degree of freedom systems - 1: periodic excitation Standard Form of the Equation of Motion Superposition Harmonic Forcing Structural Damping Selected Applications Response to General Periodic Loading Forced vibration of single degree of freedom systems - 2: nonperiodic excitation Two Generalized Functions Impulse Response Response to Arbitrary Excitation Response to Step Loading Response to Ramp Loading Transient Response by Superposition Shock Spectra Concluding Remarks Operational methods The Laplace Transform Free Vibrations Forced Vibrations Concluding Remarks Dynamics of multi-degree of freedom systems Newtonian Mechanics of Discrete Systems Lagrange’s Equations Symmetry of the System Matrices Free vibration of multi-degree of freedom systems The General Free Vibration Problem and Its Solution Unrestrained Systems Properties of Modal Vectors Systems with Viscous Damping Evaluation of Amplitudes and Phase Angles Forced vibration of multi-degree of freedom systems Modal Coordinates General Motion in Terms of the Natural Modes Decomposition of the Forced Vibration Problem Solution of Forced Vibration Problems Mode Isolation Rayleigh Damping Systems with General Viscous Damping Concluding Remarks Dynamics of one-dimensional continua Mathematical Description of 1-D Continua Characterization of Local Deformation Longitudinal Motion of Elastic Rods Torsional Motion of Elastic Rods Transverse Motion of Strings and Cables Transverse Motion of Elastic Beams Geometrically Nonlinear Beam Theory Translating 1-D Continua Free vibration of one-dimensional continua The General Free Vibration Problem Free Vibration of Uniform Second Order Systems Free Vibration of Euler-Bernoulli Beams Free Vibration of Euler-Bernoulli Beam-Columns Free Vibration of Rayleigh Beams Free Vibration of Timoshenko Beams Normalization of the Modal Functions Orthogonality of the Modal Functions Evaluation of Amplitudes and Phase Angles Concluding Remarks Forced vibration of one-dimensional continua Modal Expansion Decomposition of the Forced Vibration Problem Solution of Forced Vibration Problems Steady State Response of One-Dimensional Continua with Structural Damping Dynamics of two-dimensional continua Characterization of Local Deformation Membranes Elastic Plates Concluding Remarks Free vibration of two-dimensional continua The Scalar Product and Orthogonality The General Free Vibration Problem Free Vibration of Ideal Membranes Free Vibration of Kirchhoff Plates Free Vibration of Uniformly Stretched von Karman Plates Free Vibration of Mindlin Plates Normalization of the Modal Functions Orthogonality of the Modal Functions Evaluation of Amplitudes and Phase Angles Forced vibration of two-dimensional continua Mathematical Representation of Point Loads for Two-Dimensional Continua Forced Vibration of Systems with One Dependent Variable Forced Vibration of Systems with Multiple Dependent Variables: Mindlin Plates Steady State Response of Two-Dimensional Continua with Structural Damping.