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
"The Fifth Edition of Structural Dynamics: Theory and Computation is the complete and comprehensive text in the field. It presents modern methods of analysis and techniques adaptable to computer programming clearly and easily. The book is ideal as a text for advanced undergraduates or graduate students taking a first course in structural dynamics. It is arranged in such a way that it can be used for a one- or two-semester course, or span the undergraduate and graduate levels. In addition, this text will serve the practicing engineer as a primary reference.
The text differs from the standard approach of other presentations in which topics are ordered by their mathematical complexity. This text is organized by the type of structural modeling. The author simplifies the subject by presenting a single degree-of-freedom system in the first chapters, then moves to systems with many degrees-of-freedom in the following chapters. Finally, the text moves to applications of the first chapters and special topics in structural dynamics.
New in this Edition:
Problems reworked for SAP2000®.
Step-by-step examples of how to use SAP2000® for every application of structural dynamics.
Inclusion of companion Web site (extras.springer.com/2004) with three learning aids: SAP2000® student version; source code for the author's educational programs in structural dynamics, so that the results of changed parameters can be seen step-by-step; and the compiler (executable files) for the author's educational programs.
Three earthquake engineering chapters updated to the latest ICC® building codes.
Materials rearranged so that theory and dynamic analysis precede applications and special topics, facilitating using the book sequentially.
Is interesting as well as scholarly and encourages the reader to continue rather than to put it down