Dynamics of a flexible multi-body hoisting system based on an equivalent simplified model

YAN Shijun1,PENG Jian2,REN Zhongjun1,WANG Shiming1

Journal of Vibration and Shock ›› 2020, Vol. 39 ›› Issue (18) : 255-261.

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Journal of Vibration and Shock ›› 2020, Vol. 39 ›› Issue (18) : 255-261.

Dynamics of a flexible multi-body hoisting system based on an equivalent simplified model

  • YAN Shijun1,PENG Jian2,REN Zhongjun1,WANG Shiming1
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Abstract

 Rigid-flexible dynamical characteristics of a flexible multi-body hoisting system are investigated during its slewing, by using a simplified equivalent mathematical model. In this study, the boom head vibrations are modeled by an equivalent spring mass damper system, while the sway motions of the payload are described by a spatial suspend system. Based on the Lagrange equation, a simplified mathematic formulation is derived, by using the recursive formulation, with the floating frames to describe the motions of bodies. Dynamics of a real large scale truck crane is analyzed with the proposed formulation and computational method. Comparisons between the simulation and test results show that this method is very effective and convenient for truck crane’s slewing simulation. The results of spectrum analysis reveal the dynamic behavior that, with the weight increase of the payload and length decrease of the rope, the contribution of the payload sway to the boom vibration increases, however, the influence of the self-excitation causing by inertial force is reduced, besides, under heavy load and short rope condition, the coupling effect between the boom vibration and payload sway becomes significant.

Key words

hoisting system / dynamical model / multi-body dynamics / responses analysis

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YAN Shijun1,PENG Jian2,REN Zhongjun1,WANG Shiming1. Dynamics of a flexible multi-body hoisting system based on an equivalent simplified model[J]. Journal of Vibration and Shock, 2020, 39(18): 255-261

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