Structural Dynamics: Theory and Computation (Paperback, 5)

I Structures Modeled as a Single-Degree-of-Freedom System.- 1 Undamped Single-Degree-Of-Freedom System.- 1.1 Degrees of Freedom.- 1.2 Undamped System.- 1.3 Springs in Parallel or in Series.- 1.4 Newton's Law of Motion.- 1.5 Free Body Diagram.- 1.6 D' Alembert's Principle.- 1.7 Solution of the Differential Equation of Motion.- 1.8 Frequency and Period.- 1.9 Amplitude of Motion.- 1.10 Summary.- 1.11 Problems.- 2 Damped Single-Degree-of-Freedom System.- 2.1 Viscous Damping.- 2.2 Equation of Motion.- 2.3 Critically Damped System.- 2.4 Overdamped System.- 2.5 Underdamped System.- 2.6 Logarithmic Decrement.- 2.7 Summary.- 2.8 Problems.- 3 Response of One-Degree-of-Freedom System to Harmonic Loading.- 3.1 Harmonic Excitation: Undamped System.- 3.2 Harmonic Excitation: Damped System.- 3.3 Evaluation of Damping at Resonance.- 3.4 Bandwidth Method (Half-Power) to Evaluate Damping.- 3.5 Energy Dissipated by Viscous Damping.- 3.6 Equivalent Viscous Damping.- 3.7 Response to Support Motion.- 3.8 Force Transmitted to the Foundation.- 3.9 Seismic Instruments.- 3.10 Response of One-Degree-of-Freedom System to Harmonic Loading Using SAP2000.- 3.11 Summary.- 3.12 Analytical Problem.- 3.13 Problems.- 4 Response to General Dynamic Loading.- 4.1 Duhamel's Integral-Undamped System.- 4.2 Duhamel's Integral -Damped System.- 4.3 Response by Direct Integration.- 4.4 Solution of the Equation of Motion.- 4.5 Program 2-Response by Direct Integration.- 4.6 Program 3-Response to Impulsive Excitation.- 4.7 Response to General Dynamic Loading Using SAP2000.- 4.8 Summary.- 4.9 Analytical Problems.- 4.10 Problems.- 5 Response Spectra.- 5.1 Construction of Response Spectrum.- 5.2 Response Spectrum for Support Excitation.- 5.3 Tripartite Response Spectra.- 5.4 Response Spectra for Elastic Design.- 5.5 Influence of Local Soil Conditions.- 5.6 Response Spectra for Inelastic Systems.- 5.7 Response Spectra for Inelastic Design.- 5.8 Program 6-Seismic Response Spectra.- 5.9 Summary.- 5.10 Problems.- 6 Nonlinear Structural Response.- 6.1 Nonlinear Single Degree-of-Freedom Model.- 6.2 Integration of the Nonlinear Equation of Motion.- 6.3 Constant Acceleration Method.- 6.4 Linear Acceleration Step-by-Step Method.- 6.5 The Newmark Beta Method.- 6.6 Elastoplastic Behavior.- 6.7 Algorithm for the Step-by-Step Solution for Elastoplastic Single-Degree-of-Freedom System.- 6.8 Program 5-Response for Elastoplastic Behavior.- 6.9 Summary.- 6.10 Problems.- II Structures Modeled as Shear Buildings.- 7 Free Vibration of a Shear Building.- 7.1 Stiffness Equations for the Shear Building.- 7.2 Natural Frequencies and Normal Modes.- 7.3 Orthogonality Property of the Normal Modes.- 7.4 Rayleigh's Quotient.- 7.5 Program 8-Natural Frequencies and Normal Modes.- 7.6 Free Vibration of a Shear Building Using SAP2000.- 7.7 Summary.- 7.8 Problems.- 8 Forced Motion of Shear Building.- 8.1 Modal Superposition Method.- 8.2 Response of a Shear Building to Base Motion.- 8.3 Program 9-Response by Modal Superposition.- 8.4 Harmonic Forced Excitation.- 8.5 Program 10-Harmonic Response.- 8.6 Forced Motion Using SAP2000.- 8.7 Combining Maximum Values of Modal Response.- 8.8 Summary.- 8.9 Problems.- 9 Reduction of Dynamic Matrices.- 9.1 Static Condensation.- 9.2 Static Condensation Applied to Dynamic Problems.- 9.3 Dynamic Condensation.- 9.4 Modified Dynamic Condensation.- 9.5 Program 12-Reduction of the Dynamic Problem.- 9.6 Summary.- 9.7 Problems.- III Framed Structures Modeled as Discrete Multi-Degree-of-Freedom Systems.- 10 Dynamic Analysis of Beams.- 10.1 Shape Functions for a Beam Segment.- 10.2 System Stiffness Matrix.- 10.3 Inertial Properties-Lumped Mass.- 10.4 Inertial Properties-Consistent Mass.- 10.5 Damping Properties.- 10.6 External Loads.- 10.7 Geometric Stiffness.- 10.8 Equations of Motion.- 10.9 Element Forces at Nodal Coordinates.- 10.10 Program 13-Modeling Structures as Beams.- 10.11 Dynamic Analysis of Beams Using SAP2000.- 10.12 Summary.- 10.13 Problems.- 11 Dynamic Analysis of Pl