摘要
在考虑结构变形对电磁场的影响基础上,假设载流梁的变形为小变形,把变形后载流梁中的电流方向改变看成是电流矢量的刚性旋转,建立了载流梁在磁场中的横向固有振动控制方程.方程表明载流梁在磁场中的横向固有振动是一个典型的非线性问题.采用摄动法求得了其近似解,得到了载流梁在磁场中的横向固有振动频率及位移解析表达式.并通过实例计算讨论分析了导线与载流梁间距、载流梁的电流与导线电流的方向及大小、载流梁梁长及其半径等因素对载流梁横向固有振动的影响,得到了一些有价值的结论.
Taking into account the influence of structural deformations on electromagnetic field, aasuming that the beam＇s deformations are small, and regarding the change of current direction after beam＇s deformations as current vector＇s stiff rotation, the natural lateral vibration control equation of beam carrying electric current in magnetic field was established. The equation indicated that the beam＇s natural lateral vibration was a typical issue. The perturbation method was employed to get the control equation＇s approximate solution. The analytical expressions of beam＇s natural lateral vibration frequency and displacement were derived. The main factors, such as the distance of wire and beam, the quantity and direction of current, and the length and radius of beam, which affect the natural lateral vibration of beam carrying electric current, were discussed with an example, and some valuable conclusions were obtained from the example.
出处
《动力学与控制学报》
2005年第4期71-75,共5页
Journal of Dynamics and Control
关键词
载流梁
磁场
固有振动
电流
beam carrying electric current, magnetic field, natural, vibrations, current
