Longitudinal Vibration on Hoisting Systems with Time-varying Length

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Journal of Vibration and Shock ›› 2013, Vol. 32 ›› Issue (15) : 173-177.

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Longitudinal Vibration on Hoisting Systems with Time-varying Length

BAO Ji-hu1, ZHANG Peng1,2, ZHU Chang-ming1

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Abstract

Aimed at the longitudinal vibration of rope hoisting systems with time-varying length, the governing equations are developed employing energy method and the Lagrange method considering mutual influence of the rigid motion and deformation of rope. In the mean time, The motions of elevator hoisting systems were illustrated to evaluate the proposed mathematical models. The results of simulation show that the modeling methods can represent the longitudinal vibration of rope hoisting systems with time-varying length in the paper. The governing equations derived can provide reference for further study.

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hoisting system / rope / longitudinal vibration / elevator

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BAO Ji-hu;ZHANG Peng;ZHU Chang-ming. Longitudinal Vibration on Hoisting Systems with Time-varying Length[J]. Journal of Vibration and Shock, 2013, 32(15): 173-177