Matrix Analysis of Structural Dynamics: Applications and Earthquake Engineering (Civil and Environmental Engineering)

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Uses state-of-the-art computer technology to formulate displacement method with matrix algebra. Facilitates analysis of structural dynamics and applications to earthquake engineering and UBC and IBC seismic building codes.

Author(s): Franklin Y. Cheng
Edition: 1
Year: 2000

Language: English
Pages: 997

PREFACE......Page 6
CONTENTS......Page 10
Characteristics of Free and Forced Vibrations of Elementary Systems......Page 20
Eigensolution Techniques and Undamped Response Analysis of Multiple- Degree-of - Freedom Systems......Page 66
Eigensolution Methods and Response Analysis for Proportional and Nonproportional Damping......Page 136
Dynamic Stiffness and Energy Methods for Distributed Mass Systems......Page 180
Dynamic Stiffness Method for Coupling Vibration, Elastic Media and P-Delta Effect......Page 232
Consistent Mass Method for Frames and Finite Elements......Page 280
Numerical Integration Methods and Seismic Response Spectra for Single- and Multi-Component Seismic Input......Page 340
Formulation and Response Analysis of Three-Dimensional Building Systems with Walls and Bracings......Page 436
Various Hysteresis Models and Nonlinear Response Analysis......Page 546
Static and Dynamic Lateral-Force Procedures and Related Effects in Building Codes of UBC-94, UBC-97 and IBC-2000......Page 626
Appendix A—Lag range's Equation......Page 836
Appendix B—Derivation of Ground Rotational Records......Page 842
Appendix C—Vector Analysis Fundamentals......Page 846
Appendix D—Transformation Matrix Between JCS and GCS......Page 850
Appendix E—Transformation Matrix Between ECS and GCS for Beam Column......Page 862
Appendix F—Transformation Matrix [A'] and Stiffness Matrix [Kieg] of Beam Column with Rigid Zone......Page 870
Appendix G—Computer Program for Newmark Method......Page 874
Appendix H—Computer Program for Wilson-Theta Method......Page 882
Appendix I—Computer Program for CQC Method......Page 890
Appendix J—Jain-Goel-Hanson Steel-Bracing Hysteresis Model and Computer Program......Page 894
Appendix K—Takeda Model for RC Columns and Beams and Computer Program......Page 914
Appendix L—Cheng-Mertz Model for Bending Coupling with Shear and Axial Deformations of Low-Rise Shear Walls and Computer Program......Page 932
Appendix M—Cheng-Lou Axial Hysteresis Model for RC Columns and Walls and Computer Program......Page 986
Notation......Page 998
Index......Page 1008