挤压油膜阻尼器动特性系数的数值解法

The Numerical Solution for Analyzing the Dynamic Characteristics of the Squeeze Film Damper

在分析含挤压油膜阻尼器转子系统的稳定性和动态响应时,需用到八个油膜动力特性系数。当前常用的动力特性系数的解析表达式是基于长、短轴承近似理论简化得到的,其优点是有明确的解析式且计算量小,缺点是精度较差。基于有限元法计算挤压油膜阻尼器动力特性系数:使用泰勒级数将瞬态雷诺方程的分解,采用伽辽金法将分解后的方程进行变分,然后运用有限元方法求解阻尼器的八个油膜动力特性系数。以某转子-油膜阻尼器系统为对象,分别研究了有限元法数值解和短轴承理论模型近似解对转子动力学特性的影响,并与实验值进行比较,研究结果表明:采用有限元法数值解模拟阻尼器动态特性,较短轴承理论近似解更接近于实验值。

As it analyzes stabilities and responses of rotor systems which obtain the Squeeze film dampers （SFD）, it often uses the eight dynamic coefficients which can be obtained by the traditional method -- the theory of the short bearings （TSB） （or the long bearings）. The method has many advantages, such as it is easy to analyze and calculate, but accuracy is limited. With the development of the computer, the finite element method （FEM） can be used to solve the Reynolds equation. It describes how to use the FEM to solve it, and a rotor-SFD system is used to analyze dynamic characteristics by the two methods, respectively. In conclusion, the dynamic characteristics solved by the FEM method agree better with the test value than the theory of the short bearings.