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| Modeling and Analysis of Rope Transverse Vibration for Flexible Hoisting Systems with TimeVarying Length |
| BAO Ji-Hu-a, ZHANG Peng-a, b , ZHU Chang-Ming-b |
| (aSchool of Mechanical Engineering； b. State Key Laboratory of Mechanical System and Vibration, Shanghai Jiaotong University, Shanghai 200240, China) |
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Abstract Transverse vibration of rope with timevarying 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 Hamiltons principle. The Galerkins 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 timevarying length.
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Received: 07 March 2011
Published: 30 March 2012
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