Description
Book SynopsisThis book covers structural dynamics from a theoretical and algorithmic approach. It covers systems with both single and multiple degrees-of-freedom. Numerous case studies are given to provide the reader with a deeper insight into the practicalities of the area, and the solutions to these case studies are given in terms of real-time and frequency in both geometric and modal spaces. Emphasis is also given to the subject of seismic loading.
The text is based on many lectures on the subject of structural dynamics given at numerous institutions and thus will be an accessible and practical aid to students of the subject.
Key features:
- Examines the effects of loads, impacts, and seismic forces on the materials used in the construction of buildings, bridges, tunnels, and more
- Structural dynamics is a critical aspect of the design of all engineered/designed structures and objects - allowing for accurate prediction of their ability to withstand service loading, and for knowledge of failure-causeing or critical loads
Trade Review "This book covers structural dynamics from a theoretical and algorithmic approach. It covers systems with both single and multiple degrees-of-freedom. Numerous case studies are given to provide the reader with a deeper insight into the practicalities of the area, and the solutions to these case studies are given in terms of real-time and frequency in both geometric and modal spaces. Emphasis is also given to the subject of seismic loading. This publication also examines the effects of loads, impacts, and seismic forces on the materials used in the construction of buildings, bridges, tunnels, and more." (
MCEER Information Service Web site, January 2011)
Table of ContentsPreface vii
Chapter 1. Introduction 1
PART 1. SINGLE DEGREE OF FREEDOM SYSTEMS 25 Chapter 2. Equation of Motion 27
Chapter 3. Free Response 37
Chapter 4. Forced Response to Harmonic Loading 71
Chapter 5. Measurement of Damping 123
Chapter 6. Forced Response to Periodic Loading 141
Chapter 7. Response to Arbitrary Loading in the Time Domain 161
Chapter 8. Forced Response to Arbitrary Loading in Frequency Domain 195
Chapter 9. Direct Time Integration of Linear Systems 223
Chapter 10. Direct Time Integration of Nonlinear Systems 249
Chapter 11. Generalized Elementary Systems 271
Chapter 12. Response to Earthquake Excitation 307
PART 2. MULTI-DEGREES OF FREEDOM SYSTEMS 347 Chapter 13. Equations of Motion 349
Chapter 14. Finite Element Method 385
Chapter 15. Free Response of Conservative Systems 445
Chapter 16. Free Response of Non-conservative Systems 471
Chapter 17. Response to Arbitrary Loading by Modal Superposition 489
Chapter 18. Modal Superposition Response to Earthquake Excitation 511
Chapter 19. Properties of Eigenvalues and Eigenvectors 533
Chapter 20. Reduction of Coordinates 571
Chapter 21. Numerical Methods for Eigenproblems 607
Chapter 22. Direct Time Integration of Linear Systems 673
Chapter 23. Direct Time Integration of Nonlinear Systems 743
Appendix A: Complex Numbers 759
A.1. Algebric representation 759
A.2.Operations 760
A.3.Geometric representation 760
A.4. Trigonometric form 761
A.5.Roots 764
Bibliography 767
Index 775
