Dynamic simulation of a multi-cable driven parallel suspension platform with slack cables

Dynamic simulation of a multi-cable driven parallel suspension platform with slack cables
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松弛缆索多缆驱动并联悬挂平台的动态仿真

DOI:
10.1016/j.mechmachtheory.2018.04.014
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发表时间:
2018-08
影响因子:
5.2
通讯作者:
van Horssen Wim T.
van Horssen Wim T.
中科院分区:
工程技术1区
文献类型:
--
作者:
Wang Y;ong;Cao Guohua;van Horssen Wim T.

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本文提出了一种多索驱动的并联悬挂平台系统动力响应的建模方法和精确的数值计算方法。对于这样的系统,由于外部激励以及电缆在纵向推进时可能变得无张力,电缆可能会变得松弛。在横向和扭转方向上,拉索与平台之间的约束力既可以是正的,也可以是负的。本文将考虑拉索的松弛来处理非光滑拉索的振动(纵向、横向和扭转方向)。首先,利用带约束的拉格朗日方程,推导出多索悬挂平台的运动方程。然后,通过将运动方程和约束方程表示在速度层上,采用非光滑算法对方程进行数值求解。最后,将数值计算结果与ADAMS仿真结果进行了比较,两者吻合较好。此外,本文的结果还大大改进了通常忽略拉索横向特性的多索系统动力学分析的数值结果。
In this paper, a modelling method and an accurate numerical procedure are presented to simulate the dynamical responses of a multi-cable driven parallel suspension platform system. For such systems, the cables might become slack due to external excitations and due to the fact that cables can become tensionless when been pushed in longitudinal direction. In lateral and torsional directions, the constraint forces between the cables and platform can be positive as well as negative. This paper will deal with the non-smooth cable vibrations (in longitudinal, lateral and torsional directions) by taking into account the slackness of the cables. Firstly, the Lagrange equation with constraints is used to derive the equations of motion of the multi-cable suspension platform. Then, by expressing the equations of motion and constraint equations at velocity level, a non-smooth algorithm is used to numerically solve the equations. Finally, the numerical results are compared with an ADAMS simulation, and the two results agree well with each other. Moreover, the results in this paper significantly improve the numerical results used in the analysis of the dynamics for multi-cable systems which usually neglect the lateral properties of the cables.
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