Dynamic response of tower crane induced by the pendulum motion of the payload

Dynamic response of tower crane induced by the pendulum motion of the payload
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DOI:
10.1016/j.ijsolstr.2005.03.078
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发表时间:
2006
影响因子:
3.6
通讯作者:
F. Ju;Y. Choo;F. Cui
F. Ju;Y. Choo;F. Cui
中科院分区:
工程技术2区
文献类型:
--
作者:
F. Ju;Y. Choo;F. Cui

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本文研究了塔式起重机在载荷摆振作用下的动力响应。采用一种简单的摄动格式和小摆角假设简化了控制方程。塔式起重机采用有限元法建模,而摆锤运动则用刚体动力学表示。基于包含耗散函数的拉格朗日方程,导出了耦合动力学问题的完整控制方程。利用所提出的公式和计算方法对一个真实的变幅起重机模型进行了球摆和平面摆运动的动力学分析。结果表明,塔式起重机的动力响应主要由起重机结构的前几阶固有频率和有效载荷的摆振运动共同决定。动力放大系数一般随初始摆角的增大而增大,对于平面摆运动,其变化只是轻微的非线性。
Dynamic response of tower cranes coupled with the pendulum motions of the payload is studied in this paper. A simple perturbation scheme and the assumption of small pendulum angle are applied to simplify the governing equation. The tower crane is modeled by the finite element method, while the pendulum motion is represented as rigid-body kinetics. Integrated governing equations for the coupled dynamics problem are derived based on Lagrange’s equations including the dissipation function. Dynamics of a real luffing crane model with the spherical and planar pendulum motions is analyzed using the proposed formulations and computational method. It is found that the dynamic responses of the tower crane are dominated by both the first few natural frequencies of crane structure and the pendulum motion of the payload. The dynamic amplification factors generally increase with the increase of the initial pendulum angle and the changes are just slightly nonlinear for the planar pendulum motion.