中文摘要：

以便在垂直方向研究静电的暂停系统的颤动法律，一个非线性的微分方程被建立的 mathe- matical 模型。一系列模拟被执行。结果证明微分方程的答案是周期的功能。振幅变得更大，原来的速度增加了。时期变得更小，原来的速度增加。数字方法被介绍导出振幅和频率，并且结果与模拟的与一致。条件在哪个期间简单泛音颤动产生被指出。为振幅和简单泛音颤动的时期的表情分别地被导出，并且结果是有模拟的一样。这研究对研究静电的暂停系统的颤动特征有用。外部扰乱应该被控制降低振幅和颤动的频率。

英文摘要：

In order to research the vibration law of electrostatic suspension systems in the vertical direction, the mathematical model as a nonlinear differential equation is established. A series of simulation is carried out. The results show that the solution of the differential equation is a periodic function. The amplitude becomes bigger with the original velocity increased. The period becomes smaller with the original velocity increasing. The numerical methods are presented to derive the amplitude and the frequency, and the results coincide with that of the simulation. The condition during which the simple harmonic vibration arises is pointed out. The expressions for the amplitude and the period of simple harmonic vibration are derived respectively, and the results are the same with that of the simulation. This study is helpful for researching the vibration characteristics of the electrostatic suspension system. The external disturb should be controlled to lower the amplitude and the frequency of the vibration.