Dynamics of Structures

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.

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

Auteur

Patrick Paultre is the author of Dynamics of Structures, published by Wiley.

Contenu

Preface 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