Lateral response of cable-guided hoisting system with time-varying length: Theoretical model and dynamics simulation verification

Lateral response of cable-guided hoisting system with time-varying length: Theoretical model and dynamics simulation verification
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随长度变化的缆绳引导提升系统横向响应:理论模型与动力学仿真验证

DOI:
10.1177/0954406214566032
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发表时间:
2015-01
期刊:
Proceedings of the Institution of Mechanical EngineersPartCJournal of Mechanical Engineering Science
影响因子:
--
通讯作者:
Peng Weihong
Peng Weihong
中科院分区:
其他
文献类型:
--
作者:
Wang Jinjie;Cao Guohua;Zhu Zhencai;Wang Y;ong;Peng Weihong

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本文研究了钢丝绳导向提升系统中移动提升输送机的横向响应。根据哈密顿原理推导了导索的运动方程,并推导了导索的等效质量和等效刚度。利用Galerkin方法将控制方程转化为一组常微分方程组。随后,建立了基于多自由度的ADAMS仿真模型,对理论模型进行了验证。同时,提出了一种用固定关节和距离传感器代替接触力的高效仿真方法。利用Newmark-β方法得到了方程组的数值解,讨论了解的收敛问题,并与已有的描述刚性导轨提升系统的模型进行了比较。结果表明,数值模拟结果与ADAMS模拟结果吻合较好,该模型包含了前人的模型。分析了参数对横向响应的影响,发现最大横向位移与激励幅值成线性关系。通过理论模型可以确定合适的预紧力,有利于振动控制。
The lateral response of the moving hoisting conveyance in cable-guided hoisting system is investigated in this paper. The equations of motion are derived by Hamilton's principle while the equivalent mass and stiffness of the guide cables are formulated. Galerkin method is employed to transform the governing equation into a set of ordinary differential equations. Subsequently, an ADAMS simulation model based on multi-degree of freedom is established to validate the theoretical model. Meanwhile, a high-efficiency simulation approach is proposed, in which the contact force is replaced with fixed joints and distance sensors. The numerical solution for equations set is obtained using Newmark-β method and the convergence of the solution is discussed, then the presented theoretical model is compared with the previous models describing the rigid rail-guided hoisting system. The results indicate that the numerical simulations are in reasonably good agreement with the ADAMS simulations and this presented model includes the previous models. The influence of parameters on the lateral response is analyzed, which reveals the maximum lateral displacement is linearly proportional to the excitation amplitude. Also, the appropriate preload can be determined by the theoretical model, which is beneficial for vibration control.
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