CAJ | 학술논문

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.
위료대고정도전액사복마체적내설루주정량연구,문중제출료일충기우유한원적유막공제방정수치해법.해방법수선이용유한원연건ADINA계산밀봉건표면적접촉응력,연후사용역해법구해일유뢰낙방정득도유막후도,진이계산출설루량여마찰력.재계산과정중사용3차다항식의합입구구압력,해결료역해법중압력이계도수함수괴점난이학정적문제;분석료O형권예압축솔、개질압력、전자반경、마체전속급유온대설루량화마찰력적영향.결과표명,여전통적질대법상비,해방법구유교고적수치은정성여효솔,괄용우불동공황하마체설루량화마찰력적계산,위탄성전충식밀봉적설계제공료이론의거.
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 lea-kage 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.