Modeling and Analysis of Rope Transverse Vibration for Flexible Hoisting Systems with TimeVarying Length

Abstract

Abstract: Transverse vibration of rope with timevarying length was investigated considering the continuum medium mechanics and the effect of the geometrically non-linear kinematics of deformation. The governing equations were developed employing the Hamiltons principle. The Galerkins method is used to discretize the governing equations. The motions of traction elevator hoisting systems were illustrated to evaluate the proposed mathematical models and solution method. The results of simulation show that the modeling methods considering the continuum medium mechanics can well represent the transverse vibration of hoisting rope systems with timevarying length.

Key words: flexible hoisting system, transverse vibration, rope, traction elevator

CLC Number:

TB 123

BAO Ji-Hu-a, ZHANG Peng-a, b , ZHU Chang-Ming-b. Modeling and Analysis of Rope Transverse Vibration for Flexible Hoisting Systems with TimeVarying Length[J]. Journal of Shanghai Jiaotong University, 2012, 46(03): 341-345.

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