Mechanics of lateral positioning of a translating tape due to tilted rollers: Theory and experiments
Mechanics of lateral positioning of a translating tape due to tilted rollers: Theory and experiments
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DOI：
10.1016/j.ijsolstr.2015.03.029
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发表时间：
2015-08
影响因子：
3.6
通讯作者：
Hankang Yang;J. Engelen;A. Pantazi;W. Häberle;M. Lantz;Sinan Müftü
中科院分区：
文献类型：
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作者：
Hankang Yang;J. Engelen;A. Pantazi;W. Häberle;M. Lantz;Sinan Müftü
一个基于力学的模型来描述一个薄的，张紧的，平移带在倾斜的辊的横向定位，基于这样的假设，即当有足够的牵引力时，带的传输速度应该匹配辊的表面速度。它示出，该条件需要的磁带的中性轴的斜率和倾斜辊的中心线的斜率是相同的包裹段。该模型的扩展进行了讨论，包括周向和横向滑动的可能性，这取决于磁带和辊之间的速度差。新的模型被纳入一个广义模型的磁带路径，包括众多的辊以及适当的边界条件的卷取和供应卷轴的动态。对非线性运动方程进行数值求解，并采用隐式时间步进算法求出稳态解。一个倾斜辊，两个或三个接近理想取向的辊和两个卷轴的实验装置用于验证模型。辊倾斜角，磁带包角，和自由磁带跨度的长度上的稳定状态的横向磁带位置的倾斜辊的上游和下游的影响进行了实验研究和模拟。实验表明，在倾斜辊的上游侧上的缠绕物的周向位置对在横向方向上推动带具有最强的影响。围绕辊的总包角具有较小的影响。还示出了倾斜辊的上游和下游的带段相互作用，并且组合效应导致稳定状态下不同的总体横向带响应。
A mechanics based model to describe the lateral positioning of a thin, tensioned, translating tape over a tilted roller is introduced, based on the assumption that the transport velocity of the tape should match the surface velocity of the roller when there is sufficient traction. It is shown that this condition requires the slope of the neutral axis of the tape and the slope of the centerline of the tilted roller to be the same over the wrapped segment. An extension of this model is discussed including the possibility of circumferential and lateral sliding, depending on the velocity difference between the tape and the roller. The new model is incorporated into a generalized model of a tape path that consists of numerous rollers as well as the appropriate boundary conditions for the take-up and supply reel dynamics. The nonlinear equation of motion is solved numerically, and the steady state solution is found by an implicit time stepping algorithm. An experimental setup with one tilting roller, two or three nearly ideally oriented rollers and two reels is used for verification of the model. The effects of roller tilt angle, tape wrap angle, and the lengths of the free-tape spans upstream and downstream of the tilted roller on the steady state lateral tape position are investigated experimentally and by simulations. The experiments show that the circumferential position of the wrap on the upstream side of a tilted roller has the strongest effect on pushing the tape in the lateral direction. The total wrap angle around the roller has a smaller effect. It was also shown that the tape segments upstream and downstream of the tilted roller interact, and the combined effect results in a different overall lateral tape response in steady state.