• Transactions of the Korean Society for Noise and Vibration Engineering
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• v.24 no.4
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• pp.317-323
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• 2014

This study is concerned with the free vibration analysis of an inextensible uniform rope with a spring-mass system at the tip. The rope is hanged vertically in a gravitational field. This problem is related to the free vibration of an elevator rope connected to an elevator cage. The equation of motion and the corresponding boundary conditions are derived by using the Hamilton's principle. The general solution of the governing equation of motion is expressed in terms of Bessel functions. The characteristic equation was derived by applying the boundary conditions. The characteristic values which are in fact non-dimensionalized natural frequencies were obtained numerically. The effects of mass and spring constant were investigated. The numerical results show how the tip mass and spring affect the natural frequencies of the rope.

• Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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• 2014.04a
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• pp.205-206
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• 2014

• Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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• 2013.04a
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• pp.626-627
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• 2013

• Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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• 2013.10a
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• pp.825-826
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• 2013

• Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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• 2014.10a
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• pp.252-255
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• 2014

The elevator rope is easy to oscillate and continue vibrating because the rope structure is flexible and inner damping is small. The vibration of elevator rope is caused by the building vibration excited by external disturbances such as winds and earthquake. This paper is concerned with the experimental verification of the elevator rope vibrations using a small-scale simulator. The elevator rope vibration coupled with the building vibration was modelled using the energy method in the previous study. In this study, the natural frequencies of the elevator rope were computed using the theoretical model and compared to experimental results. Also, the time-responses of the rope vibration during the cage motion were measured by laser sensors and compared to the theoretical predictions. Experimental results are in good agreement with theoretical predictions.