回转圆盘刀具横向振动流体控制建模与分析

Model and Analysis for Lateral Vibration Liquid Control of Rotating Disk Cutter

在对圆盘刀具进行正方化扇形网格划分及建立单元型函数的基础上,针对回转圆盘薄片刀具实际工作时存在的横向振动问题,应用拉格朗日方程和流体动压润滑理论建立含流体动压膜的回转圆盘薄片刀具的动力学方程。通过对该动力学方程的分析,利用专门设计、制造的试验装置,对圆盘薄片刀具系统的动态特性进行测量,将测量数据与理论分析的结果进行对比。结果表明:建立的圆盘薄片刀具系统的动力学方程是正确的,流体动压膜可有效地减少刀具横向振动的幅值。

On the basis that the disk cutter was meshed by the square fan-shaped grid, and the type function defined, a dynamic equation of the rotation disk was established by the Lagrange equation and the theory of the hydrodynamic lubrication since the lateral vibration of the disk is controlled by hydrodynamic film. The static and dynamic characteristics of the disk system were analyzed by the equation. A special experiment set was developed and used to measure the lateral vibration displacement of the disk. The measured data were compared with the theoretical values. The result shows that the dynamic equation established is correct, and hydrodynamic film can effectually decrease swing value of blade lateral vibration.