Title Page -- Copyright -- Table of Contents -- Preface -- Chapter 1: Definitions, Units, and Geometric Properties -- 1.1 Definitions -- 1.2 Symbols -- 1.3 Units -- 1.4 Motion on the Surface of the Earth -- 1.5 Geometric Properties of Plane Areas -- 1.6 Geometric Properties of Rigid Bodies -- 1.7 Geometric Properties Defined by Vectors -- References -- Chapter 2: Dynamics of Particles and Bodies -- 2.1 Kinematics and Coordinate Transformations -- 2.2 Newton's Law of Particle Dynamics -- 2.3 Rigid Body Rotation -- References -- Chapter 3: Natural Frequency of Spring-Mass Systems, Pendulums, Strings, and Membranes -- 3.1 Harmonic Motion -- 3.2 Spring Constants -- 3.3 Natural Frequencies of Spring-Mass Systems -- 3.4 Modeling Discrete Systems with Springs and Masses -- 3.5 Pendulum Natural Frequencies -- 3.6 Tensioned Strings, Cables, and Chain Natural Frequencies -- 3.7 Membrane Natural Frequencies -- References -- Chapter 4: Natural Frequency of Beams -- 4.1 Beam Bending Theory -- 4.2 Natural Frequencies and Mode Shapes of Single-Span and Multiple-Span Beams -- 4.3 Axially Loaded Beam Natural Frequency -- 4.4 Beams with Masses, Tapered Beams, Beams with Spring Supports, and Shear Beams -- 4.5 Torsional and Longitudinal Beam Natural Frequencies -- 4.6 Wave Propagation in Beams -- 4.7 Curved Beams, Rings, and Frames -- References -- Chapter 5: Natural Frequency of Plates and Shells -- 5.1 Plate Flexure Theory -- 5.2 Plate Natural Frequencies and Mode Shapes -- 5.3 Cylindrical Shells -- 5.4 Spherical and Conical Shells -- References -- Chapter 6: Acoustics and Fluids -- 6.1 Sound Waves and Decibels -- 6.2 Sound Propagation in Large Spaces -- 6.3 Acoustic Waves in Ducts and Rooms -- 6.4 Acoustic Natural Frequencies and Mode Shapes -- 6.5 Free Surface Waves and Liquid Sloshing -- 6.6 Ships and Floating Systems -- 6.7 Added Mass of Structure in Fluids.

References -- Further Reading -- Chapter 7: Forced Vibration -- 7.1 Steady-State Forced Vibration -- 7.2 Transient Vibration -- 7.3 Vibration Isolation -- 7.4 Random Vibration Response to Spectral Loads -- 7.5 Approximate Response Solution -- References -- Chapter 8: Properties of Solids, Liquids, and Gases -- 8.1 Solids -- 8.2 Liquids -- 8.3 Gases -- References -- Appendix A: Approximate Methods for Natural Frequency -- A.1 Relationship between Fundamental Natural Frequency and Static Deflection -- A.2 Rayleigh Technique -- A.3 Dunkerley and Southwell Methods -- A.4 Rayleigh-Ritz and Schmidt Approximations -- A.5 Galerkin Procedure for Continuous Structures -- References -- Appendix B: Numerical Integration of Newton's Second Law -- References -- Appendix C: Standard Octaves and Sound Pressure -- C.1 Time History and Overall Sound Pressure -- C.2 Peaks and Crest -- C.3 Spectra and Spectral Density -- C.4 Logarithmic Frequency Scales and Musical Tunings -- C.5 Human Perception of Sound (Psychological Acoustics) -- References -- Appendix D: Integrals Containing Mode Shapes of Single-Span Beams -- Reference -- Appendix E: Finite Element Programs -- Professional/Commercial Programs -- Open Source /Low-Cost Programs -- Index -- End User License Agreement.