Analysis of Motion of Magnetic Levitation Systems: Implications for High‐Speed Vehicles
Analysis of Motion of Magnetic Levitation Systems: Implications for High‐Speed Vehicles
复制标题
磁悬浮系统运动分析：对高速车辆的影响
DOI：
10.1063/1.1659855
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发表时间：
1971
影响因子：
3.2
通讯作者：
D. Wilkie
中科院分区：
文献类型：
--
作者：
L. Davis;D. Wilkie
为了研究磁悬浮高速车辆的运动，详细考虑了一个简单的例子（薄导电板上方的长导线）。对磁铁（长导线）的升力和阻力推导出任意运动以上的板。典型参数（速度= 300英里/小时，高度= 0.1米）的系统的稳定性进行了分析。通过使用拉普拉斯变换技术，它表明，两种类型的模式发生（在线性化的运动方程）。一种模式是振幅随时间缓慢增长的垂直振荡。另一种模式是水平速度误差的无限增加。后一种不稳定性是由于在高速下阻力随速度增加而减小。在这方面，最近的一份出版物指出了一个错误，其中声称该系统是稳定的。详细考虑了水平加速度和垂直速度对磁场力的影响。空气动力学驱动的影响。
To study the motion of a magnetically suspended high‐speed vehicle, a simple example (the long wire above a thin conducting plate) is considered in detail. The lift and drag forces on the magnet (long wire) are derived for arbitrary motion above the plate. The stability of the system is analyzed for typical parameters (velocity = 300 mph, height = 0.1 m). By using a Laplace‐transform technique, it is shown that two types of modes occur (in the linearized equations of motion). One mode is a vertical oscillation with an amplitude that grows slowly in time. The other mode is an unbounded increase in the horizontal velocity error. This latter instability results from the fact that the drag force decreases with increasing velocity at high speeds. In this connection, an error is pointed out in a recent publication in which it was claimed that the system is stable. Detailed consideration of the effects of horizontal acceleration and vertical velocity on the magnetic forces is given. The effects of aerodynamic dr...