中文摘要：

建立了水平方向静电悬浮非线性系统微分方程形式的数学模型，指明了该微分方程的解是振动周期函数．采用物理方法求出了振幅的表达式，并对振幅随初始速度的变化特性进行了仿真，结果表明振幅随初始速度的增大而增大，但不是正比关系．对振动的频率特性进行了一系列仿真研究，结果表明频率与初始条件有关，随着初始速度增大，频率增高．指出了作正弦振动的条件，并求出了正弦振动周期的表达式，周期的理论计算结果与仿直结果一致．所得结论对于静电悬浮结构设计有一宗指导作用．

英文摘要：

The differential equation-formed mathematical model of the nonlinear system of electrostatic suspension in horizontal direction is established. It is pointed out that the solution of the differential equation is a periodic function. The expression of the amplitude is derived by the physical method. Simulation is given; and the result shows that the amplitude becomes bigger with the increasing of the original velocity, but not proportionally. A series of simulation is carried out to reveal the frequency characteristics of the vibration; and the results show that the frequency is related with the original velocity. The frequency will increase with the increasing of the original velocity. The condition is discussed when sinusoidal vibration arises. The expression of the period of sinusoidal vibration is derived; and the theoretically calculated period is the same with the simulation result. The conclusions are useful to the structure design of electrostatic suspension.