可倾瓦推力轴承系统的稳定性研究

在可倾瓦推力轴承系统中，利用薄膜压力和薄膜厚度的Taylor级数展开式，对瞬态雷诺方程进行了求解，求出了薄膜力和瓦块所受力矩的Taylor级数展开式，建立了镜板和可倾瓦自由振动时的微分方程及其特征方程，以出口处与入口处薄膜厚度的比值，外载荷、瓦块倾角、镜板速度和薄膜动力粘度等为变量，经判断霍尔维茨行列式的值大于零时，表明可倾瓦推力轴承系统具有稳定性。一旦瓦块的支点确定后，出口处入口处薄膜厚度的比值即可确定，而与其它参数无关。镜板和瓦块的运动微分方程可进行解耦合求解。

Study on stability of thrust bearing system with tiltable bush

In the system of tiltable-bushed thrust bearing, utilizing Taylor series expansion of the film pressure and film thickness, the solution on transient Reynolds equation was carried out, the Taylor series expansion of the film strength and of the moment born by the bush was found, and the differential equation and its characteristic equation, when vibration happened on the mirror plate and the tiltable bush, were established. Take the specific value between film thicknesses at the exit and the entrance, external load, tilting angle of bush, speed of mirror plate and dynamic viscosity of film as variables, through judging out the value of Hurwitz's determinant is greater then zero, it shows that the tiltable bush thrust bearing system is possessing stability. Once the pivot of bush is determined, the specific value between thicknesses of films at the exit and the entrance could then be settled and has no bearing on other parameters. Carrying out the decoupling can solve the motion differential equations of mirror plate and bush.