Hybrid modeling for dynamic analysis of cable-pulley systems with time-varying length cable and its application

Hybrid modeling for dynamic analysis of cable-pulley systems with time-varying length cable and its application
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时变索长索滑轮系统动态分析混合建模及其应用

DOI:
10.1016/j.jsv.2017.06.024
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发表时间:
2017-10
影响因子:
4.7
通讯作者:
Wang Gang
Wang Gang
中科院分区:
工程技术2区
文献类型:
--
作者:
Wang Jing;Qi Zhaohui;Wang Gang

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本文研究了缆索-滑轮系统的动力学分析,其中考虑了缆索的时变长度特性以及缆索与滑轮之间的耦合运动。基于虚功率原理,建立了缆索-滑轮系统的动力学模型。首先,采用三次样条插值法建立柔性索单元模型,推导出索上的拉应变、惯性力和重力的虚1次方。然后,基于无滑移假设和空间描述,通过输入和输出接触点来描述缆索与动滑轮或定滑轮之间的耦合运动。推导了惯性、重力和作用在索、动滑轮和定滑轮接触段上的力的虚功。特别地,样条索单元的内部节点自由度被减小,使得最终的动力学控制方程中只包含与滑轮相连的节点的独立描述参数。最后,以两种绳轮提升机构为应用实例,对提升过程中的振动进行了研究。通过与亚当斯模型的比较,验证了该方法的有效性.
The dynamic analysis of cable-pulley systems is investigated in this paper, where the time-varying length characteristic of the cable as well as the coupling motion between the cable and the pulleys are considered. The dynamic model for cable-pulley systems are presented based on the principle of virtual power. Firstly, the cubic spline interpolation is adopted for modeling the flexible cable elements and the virtual 1powers of tensile strain, inertia and gravity forces on the cable are formulated. Then, the coupled motions between the cable and the movable or fixed pulley are described by the input and output contact points, based on the no-slip assumption and the spatial description. The virtual powers of inertia, gravity and applied forces on the contact segment of the cable, the movable and fixed pulleys are formulated. In particular, the internal node degrees of freedom of spline cable elements are reduced, which results in that only the independent description parameters of the nodes connected to the pulleys are included in the final governing dynamic equations. At last, two cable-pulley lifting mechanisms are considered as demonstrative application examples where the vibration of the lifting process is investigated. The comparison with ADAMS models is given to prove the validity of the proposed method.
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