A modeling of sliding joint on one-dimensional flexible medium
A modeling of sliding joint on one-dimensional flexible medium
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DOI：
10.1007/s11044-010-9242-7
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发表时间：
2011-01
影响因子：
3.4
通讯作者：
Difeng Hong;Gexue Ren
中科院分区：
文献类型：
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作者：
Difeng Hong;Gexue Ren
本文研究了一维介质（如电缆或梁）上滑动接头的动态建模。滑动关节是通过将其定位在一维介质上的移动节点来实现的，这是通过关节两侧的可变长度元件来实现的。可变长度单元是在任意拉格朗日-欧拉 (ALE) 描述框架中使用绝对节点坐标公式 (ANCF) 建立的。关节的滑动是通过一维介质一侧长度的增加和另一侧长度的相应减少来描述的。为了捕捉滑动节点位置坡度的不连续性，移动节点有两个坡度作为广义坐标，在梁的情况下彼此相等，但在索的情况下则不然，并且为了避免增删约束，如果单元太长或太短，则添加或删除与移动节点相邻的节点。耦合系统的控制方程根据达朗贝尔原理推导，所得运动方程以多体系统微分代数方程的标准形式表示。通过与可用的或通过简化模型而可能实现的分析结果进行比较，给出了数值例子来验证所提出的方法。
The dynamic modeling of a sliding joint on a one-dimensional medium, such as a cable or a beam, is studied in this paper. The sliding joint is implemented by positioning it at a moving node on the one-dimensional medium, which is realized by variable-length elements at either side of the joint. The variable-length element is established with an absolute nodal coordinate formulation (ANCF) in the framework of the Arbitrary Lagrange–Euler (ALE) description. The sliding of the joint is described by the increasing of the length on one side of the one-dimensional medium and a corresponding decreasing of the other side. In order to capture the discontinuity of the slopes at the position of the sliding joint, the moving node has two slopes as generalized coordinates which are equal to each other in the case of a beam but not in the case of a cable, and in order to avoid the addition–deletion constraint, the node adjacent to the moving node is added or deleted if the element is too long or too short. The governing equations for the coupled system are derived in terms of D’Alembert’s principle and the resulting equations of motion are formulated in the standard form of differential algebraic equations of multibody systems. Numerical examples are presented to validate the method proposed by comparing with analytical results which are available or are made possible by simplifying the model.