Basic Structural Dynamics -- Contents -- Preface -- Chapter 1 Basic Concepts of Structural Dynamics -- 1.1 The Dynamic Environment -- 1.2 Types of Dynamic Loading -- 1.3 Basic Principles -- 1.4 Dynamic Equilibrium -- Chapter 2 Single-Degree-of-Freedom Systems -- 2.1 Reduction of Degrees of Freedom -- 2.2 Time-Dependent Force -- 2.3 Gravitational Forces -- 2.4 Earthquake Ground Motion -- 2.5 Formulation of Equation of Motion -- 2.5.1 d'Alembert's Principle -- 2.5.2 Virtual Work (Virtual Displacements) -- 2.6 Generalized Coordinates -- 2.6.1 Discrete Parameters -- 2.6.2 Continuous Parameters -- 2.6.3 Transformation Factors -- 2.6.4 Axial Load Effect -- 2.6.5 Linear Approximation -- Chapter 3 Free-Vibration Response of Single-Degree-of-Freedom Systems -- 3.1 Undamped Free Vibration -- 3.1.1 Alternate Solution -- 3.1.2 Rayleigh's Method -- 3.1.3 Selection of Deflected Shape -- 3.2 Damped Free Vibration -- 3.2.1 Rotating Vector Form -- 3.2.2 Logarithmic Decrement -- 3.2.3 Radical Positive -- Chapter 4 Response to Harmonic Loading -- 4.1 Undamped Dynamic System -- 4.2 Damped Dynamic System -- 4.3 Tripartite Logarithmic Plot -- 4.4 Evaluation of Damping -- 4.5 Seismic Accelerometers and Displacement Meters (Seismographs) -- Chapter 5 Response to Impulse Loads -- 5.1 Rectangular Pulse -- 5.2 Damped Rectangular Pulse -- 5.3 Triangular Pulse -- 5.4 Approximate Analysis for Short-Duration Impulse Load -- Chapter 6 Response to Arbitrary Dynamic Loading -- 6.1 Duhamel Integral -- 6.2 Numerical Formulation of the Equation of Motion -- 6.3 Numerical Integration Methods -- 6.4 Newmark's Numerical Method -- Chapter 7 Multiple-Degree-of-Freedom Systems -- 7.1 Elastic Properties -- 7.1.1 Flexibility -- 7.1.2 Stiffness -- 7.1.3 Inertia -- 7.1.4 Viscous Damping -- 7.2 Undamped Free Vibration -- 7.3 Free Vibration -- 7.4 Betti's Law.

7.5 Orthogonality Properties of Mode Shapes -- 7.6 Changing Coordinates (Inverse Transformation) -- 7.7 Holzer Method for Shear Buildings -- 7.8 Axial Load Effects (Linear Approximation) -- 7.9 Modal Equations for Undamped Time-Dependent Force Analysis -- 7.10 Modal Equations of Damped Forced Vibration -- 7.11 Modal Equations for Seismic Response Analysis -- Chapter 8 Nonlinear Response of Multiple-Degree-of-Freedom Systems -- 8.1 Static Nonlinear Analysis -- 8.2 Dynamic Nonlinear Analysis -- 8.3 Gauss Reduction -- 8.4 MATLAB Applications -- Chapter 9 Seismic Response of Structures -- 9.1 Introduction -- 9.2 Linear Elastic Response Spectra -- 9.3 Elastic Design Response Spectrum -- 9.4 Earthquake Response of SDOF Systems -- 9.5 Earthquake Response Analysis of MDOF Systems -- 9.5.1 Time History Modal Analysis -- 9.5.2 Modal Combinations for Spectral Analyses -- 9.6 Structural Dynamics in the Building Code -- 9.6.1 Equivalent Lateral Force Procedure -- 9.6.2 Modal Response Spectrum Procedure -- Appendix-Historical Development of Building Code Seismic Provisions -- Selected References -- Index.