Front Matter
1 Introduction
1.1 Analytical Methods
1.1.1 Traditional Methods
1.1.2 Generalized Harmonic Balance
1.2 Galloping Phenomena
1.2.1 A Brief History of Galloping Modeling
1.2.2 Mathematical Modeling
1.2.3 Aerodynamic Force and Moment
1.3 Book Layout
References
2 Nonlinear Dynamical Systems
2.1 Continuous Systems
2.2 Equilibriums and Stability
2.3 Bifurcation and Stability Switching
2.3.1 Stability and Switching
2.3.2 Bifurcations
References
3 Analytical Methods
3.1 Periodic Motions
3.2 Quasiperiodic Motions
References
4 A Quadratic Nonlinear Oscillator
4.1 Analytical Period-m Motions
4.2 Analytical Bifurcation Trees
4.3 Numerical Illustrations
References
5 Two-Degree-of-Freedom Nonlinear Oscillators
5.1 Analytical Solution Formulation
5.2 Frequency–Amplitude Characteristics
5.3 Numerical Simulations
References
6 Linear Cable Galloping
6.1 Analytical Period-1 Motions
6.2 Frequency–Amplitude Characteristics
6.3 Numerical Simulations and Comparisons
References
7 Nonlinear Cable Galloping
7.1 Analytical Period-m Motions
7.2 Analytical Bifurcation Trees
7.3 Numerical Illustrations
References
Appendix A: Coefficients for Cable Galloping
Index
