为了对高精度电液伺服马达的内泄漏做定量研究，文中提出了一种基于有限元的油膜控制方程数值解法．该方法首先利用有限元软件ADINA计算密封件表面的接触应力，然后使用逆解法求解一维雷诺方程得到油膜厚度，进而计算出泄漏量与摩擦力，在计算过程中使用3次多项式拟合入口区压力，解决了逆解法中压力二阶导数函数拐点难以确定的问题；分析了O型圈预压缩率、介质压力、转子半径、马达转速及油温对泄漏量和摩擦力的影响．结果表明，与传统的迭代法相比，该方法具有较高的数值稳定性与效率，适用于不同工况下马达泄漏量和摩擦力的计算，为弹性填充式密封的设计提供了理论依据．

In order to quantitatively analyze the internal leakage of high-precision electrohydraulic servomotor, a numerical method to solve the oil-film control equation is proposed based on the finite element method. In this method, the contact stress on the seal surface is calculated with the finite element software ADINA; the oil film thickness is obtained by solving the one-dimension Reynolds equation with the inverse method; and the leakage and the friction are also calculated. Then, in order to overcome the difficulty in determining the inflection point of the two-order derivative pressure function, a cubic polynomial is used to fit the pressure at the inlet. Moreover, the effects of O-ring pre-compression ratio, medium pressure, rotor radius, motor velocity and temperature on the leakage and the friction are analyzed. The results indicate that the proposed numerical method is more stable and effective than the conventional iterative method. It is applicable for the calculation of leakage and friction of electrohydraulic servomotor, and it lays a theoretical foundation for the design of elastomeric seals.