高速圆柱滚子轴承性能的直接迭代分析

Direct Iterative Analysis of Performance of High-Speed Cylindrical Roller Bearing

采用直接迭代法对高速圆柱滚子轴承的运动性能进行了分析，获得了径向载荷、内圈转速、保持架转速及滑差率之间的关系，尤其在轻载工况下，得到了很好的收敛解，并将计算结果与实验结果进行了比较。

In numerical analysis of performance of high-speed Toller bearing, Chinese engineersgenerally make use of Newton-Raphson method for solving a system of complicated nonlinear equations. We now present a method that can reduce greatly the amount of computation required.Our direct iteration analysis avoids the use of Jacobi matrix, which, being needed byNewton-Raphson method, is the cause of high amount of computation. In eqs. (5) and(6), and , related to rotation speed N. of jib roller and to bearing cage speed Nc, aretaken as unknown quantities to be iteratively solved for with low-relaxation method. Low-relaxation factor, when suitably selected through experience, can make convergence muchfaster.Results calculated with our method are given in Figs. 2 and 3. Fig. 2 shows the variationof N. with Fr (bearing radial load). Two values of Ni (innerring speed ) are taken:2000 r/min and 4000 r/min. As Fr increases, Nc approaches a constant equal. to less than0.5N. Except for low values of Fr, calculated values are in good agreement with expefimerital data. Fig. 3 shows the variation of slip fraction (Sf ) with Fr, the upper curve being for24 rollers and the lower one for 16 rollers. As Fr increases, slip fraction approaches zero.Finally our method of computation allows us to make some suggestions on reducingskidding.