Preface to the Second Edition
Preface to the First Edition
Notation
Contents
1 Basic Theory
1.1 Introduction
1.2 d’Alambert’s Principle of Instantaneous Equilibrium
1.3 The Principle of Energy Conservation
1.4 The Rayleigh–Ritz Method
1.5 The Principle of Hamilton and Euler–Lagrange
1.6 The Principle of Virtual Displacements
1.7 Galerkin’s Method of Weighted Residuals
2 One and Two Degree of Freedom Systems
2.1 Introduction
2.2 Unloaded Single Degree of Freedom System
2.3 Single Degree of Freedom System with Harmonic Load
2.4 The Steady State Response in a Complex Format
2.5 Response to a General Periodic Load
2.6 Systems with Two Degrees of Freedom
3 Eigenvalue Calculations of Continuous Systems
3.1 Eigenvalue Calculations of Simple Beams
3.2 Beams with Non-symmetric Cross Section
3.3 The Beam Column
3.4 The Shallow Cable Theory
4 The Suspension Bridge
4.1 Introduction
4.2 Dynamic Motion in Horizontal y Direction
4.3 Dynamic Motion in Vertical Direction
4.4 Dynamic Motion in Torsion
5 The Finite Element Method in Dynamics
5.1 Introduction
5.2 The Analysis at Element Level
5.3 The Global Analysis
5.4 The Numeric Eigenvalue Problem
6 The Normal Mode Method
6.1 Introduction
6.2 The Normal Mode Method in a Discrete Format
6.3 The Normal Mode Method in a Continuous Format
7 Frequency and Time Domain Response Calculations
7.1 Introduction
7.2 Dynamic Response Calculations in Time Domain
7.3 The Frequency Domain Solution in Original Coordinates
7.4 The Frequency Domain Solution in Modal Coordinates
7.5 The State-Space Equation and the Duhamel Integral
8 Dynamic Response to Earthquake Excitation
8.1 Introduction
8.2 Single Degree of Freedom Shear Frame
8.3 Two Degrees of Freedom Shear Frame
8.4 The General Case of a Discrete System
8.5 The Case of Continuous Line-Like Systems
9 Wind Induced Dynamic Response Calculations
9.1 Introduction
9.2 The Dynamic Buffeting Load
9.3 Dynamic Response to Wind Buffeting
9.4 Dynamic Response to Vortex Shedding
10 Damping
10.1 Introduction
10.2 Damping Models
10.3 Structural Damping
11 The Tuned Mass Damper
11.1 The Tuned Mass Damper in a Single Degree of Freedom System
11.2 The Tuned Mass Damper in a Continuous Line-Like System
11.3 Multiple Tuned Mass Dampers in a Line-Like System
11.4 Mass Dampers in a Finite Element Format
12 Rectangular Plates
12.1 Introduction
12.2 The Differential Equation of Motion
12.3 Solution to the Eigenvalue Problem
12.4 Dynamic Response Calculations
13 Moving Loads on Beams
13.1 Concentrated Single Force
13.2 Rolling Single Wheel Vehicle
Appendix A Basic Theory of Stochastic Processes
A.1 Introduction
A.2 Time Domain and Ensemble Statistics
A.3 Threshold Crossing, Peaks, and Extreme Values
A.4 Auto and Cross Spectral Density
Appendix B Time Domain Simulations
B.1 Introduction
B.2 Simulation of Single Point Time Series
B.3 Simulation of Spatially Non-coherent Time Series
B.4 The Cholesky Decomposition
References
Index