Abstract
When an elevator rope for a high-rise building is forcibly excited by the displacements of the building induced by wind forces and/or by long-period ground motion, rope displacement becomes large even if the ground acceleration and the buildings acceleration is small. Vibration suppressor is used to change natural frequency of an elevator rope, and to avoid resonance. The elevator rope can be modeled with a string. However, vibration of the string which has vibration suppressor has been solved only on few conditions because of its geometric nonlinearity. In the case where the position of vibration suppressor is 1/N of the rope and the pulled position is center of the rope, no exact solution to the free vibration has yet been obtained. In this paper, an exact solution to the free vibration of this case is presented. Finite difference analyses of the rope vibration with vibration suppressor are also performed. The calculated results of the finite difference analyses correlated fairly well to the calculated results of the exact solution.
