The Dynamical Behaviour of Structures

Structures and Solid Body Mechanics Series

2nd Edition - January 1, 1976
Author: G. B. Warburton
Language: English
eBook ISBN:
9 7 8 - 1 - 4 8 3 1 - 8 7 7 8 - 5

The Dynamical Behaviour of Structures explores several developments made in the field of structural dynamics. The text provides innovative means to identify the effect of… Read more

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The Dynamical Behaviour of Structures explores several developments made in the field of structural dynamics. The text provides innovative means to identify the effect of earthquakes on buildings of various types. The mathematical aspect of beam vibrations is discussed in detail, and the different types of vibrations are also explained. The book gives a comprehensive discussion of the reactions of beams to moving loads; the vibrations of beam systems; and the beams on elastic foundations. The second part of the book focuses on the vibrations of plates and shells. In this section, an introduction is given to vibrations of rectangular and circular plates. The analysis of cylindrical and shallow shells then follows. The final chapter of the book discusses the structural vibrations that are influenced by its surrounding or underlying medium. The changes in these structures are then evaluated. The text can provide invaluable insights for civil engineers, architects, students, and researchers in the field of mechanics.

Preface to the Second Edition

1. Systems with One Degree of Freedom

1.1. Introduction

1.2. General Equation of Motion

1.3. Free Vibration

1.4. Response to Harmonic Excitation

1.5. Energy Expressions

1.6. Hysteretic Damping

1.7. Transient Response

1.8. Random Processes

1.9. Random Vibrations

Problems

2. Systems With Several Degrees of Freedom

2.1. Free Vibrations (Two-Degree-of-Freedom Systems)

2.2. Response to Harmonic Excitation (Two-Degree-of-Freedom Systems)

2.3. Transient Response (Two-Degree-of-Freedom Systems)

2.4. General Equations

2.5. Free Undamped Vibration

2.6. Response by the Normal Mode Method

2.7. Response to Harmonic Excitation

2.8. Numerical Integration Methods

2.9. Random Vibrations

Problems

3. Vibrations of Beams—I

3.1. Extensional Vibrations

3.2. Torsional Vibrations

3.3. Flexural Vibrations: Natural Frequencies of Uniform Beams

3.4. Response of a Beam to an Applied Force: General Theory

3.5. Response of a Uniform Beam to a Harmonic Applied Force

3.6. Response of a Beam to a Transient Force

3.7. Natural Frequencies of Non-Uniform Beams by the Rayleigh-Ritz Method

3.8. Response of Non-Uniform Beams by the Rayleigh-Ritz Method

3.9. Finite Element Method Applied to Beam Vibrations

Problems

4. Vibrations of Beams—II

4.1. Response to Moving Loads

4.2. Response of Uniform Beams to Time-Dependent Boundary Conditions

4.3. Effect of an Axial Force on Flexural Vibrations

4.4. Beams on Elastic Foundations

4.5. Vibrations of Beam Systems

4.6. Shear Deformation and Rotatory Inertia

4.7. Dynamic Response of Rigid-Plastic Beams

Problems

5. Vibrations of Plates and Shells

5.1. General Theory

5.2. Transverse Vibrations of Rectangular Plates

5.3. Transverse Vibrations of Circular Plates

5.4. Finite Element Method for in-Plane Vibrations of Plates

5.5. Finite Element Method for Transverse Vibrations of Plates

5.6. Vibrations of Shells: General Comments

5.7. Cylindrical Shells

5.8. Shallow Shells

5.9. Finite Element Method for Shell Vibrations

Problems

6. Dynamic Interaction Problems

6.1. G Round-Structure Dynamic Interaction

6.2. Fluid-Structure Dynamic Interaction

6.3. Wind-Induced Vibrations of Structures

Appendix 1. Fourier Transforms

Appendix 2. Some Properties of Matrices

Appendix 3. Orthogonality Conditions for Beams

Appendix 4. The Lagrange Equation

Appendix 5. Eigenvalue Economizers

References

Principal Notation

Answers to Problems

Index