中文摘要：

为研究动态电磁关系对随机变刚度电磁支撑装置支撑特性的影响，建立了电磁支撑装置支撑特性的数学模型，采用类比推理方法分析了动态附加支撑刚度和阻尼参数对电磁支撑刚度特性的影响，得到了随机电流与偏置电流合理匹配关系和随机电流变化频率的合理取值范围。数值仿真计算表明只要电磁支撑装置的工作参数取值合理，完全可以忽略附加支撑刚度和阻尼参数对电磁支撑刚度特性的影响，满足支撑刚度参数随机变化特征的要求。

英文摘要：

In order to study the effect of dynamic electromagnetic relationship on support characteristic of electro- magnetic support device with random variable stiffness, the model for support characteristic was established. With the help of the analogical reasoning method, the effect of dynamic additional support stiffness and damping parame- ters of the electromagnetic support stiffness was analyzed, as well as reasonable matching relations between random current and bias current and reasonable range of the frequency of random current were obtained. The numerical simulation results showed that the effect of additional support stiffness and damping parameters on the electromag- netic support stiffness could be ignored completely as long as the operating parameters of electromagnetic support device are reasonable, which meets the requirement of random variation characteristic of the support stiffness pa- rameters.