On the Rain-Wind Induced Vibrations of a Mass-Spring System
S. Kole (TU Delft - Electrical Engineering, Mathematics and Computer Science)
W.T. van Horssen – Mentor
E.M. van Elderen – Graduation committee member
F. J. Vermolen – Graduation committee member
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Abstract
In this report, the rain-wind induced vibrations of cables are studied. This is done by modeling the cable cross-section as a mass-spring system with two time-varying masses. Thereafter, the solution of this model is approximated using a multiple timescale perturbation method. Lastly, for some choices
of the time-varying masses the eigenfrequencies are analyzed, stability properties are derived, and approximations of the solutions are given.