Abstract
Elevator rope for high-rise building is excited forcibly by the displacements of the building induced by wind forces. The exact solution of forced vibration of a rope with time-varying length is presented, on the assumption that the rope tension and the moving velocity is constant, and damping coefficient of the rope is zero. Virtual sources of waves which can be assigned to reflecting waves are used for obtaining the exact solution. Finite difference analyses of the rope vibration are also performed to verify the validity of this exact solution. The calculated results of finite difference analyses are in fairly good agreement with the calculated results of the exact solution.
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