摘要
对多级泵进行转子动力学分析时,需要先对多级泵所用的滑动轴承进行动特性系数计算。采用有限差分法将雷诺方程中导数转换为差分形式。通过Matlab编程对静态雷诺方程进行迭代求解,求得静态油膜压力分布。无量纲动特性系数仅与轴承宽径比和偏心率有关,为了确定轴承的偏心率,用辛普森积分法求油膜承载力,用插值法不断改变油膜偏心率直到油膜承载力与轴承处支反力大小相等。对小扰动下的雷诺方程继续用Matlab进行求解得到4个扰动压力,再用辛普森积分法求得动特性系数。取宽径比为0.2,偏心率为0.4,通过将所编制的程序与窄轴承简化公式的计算值对比发现算法可靠。计算结果表明轴承的交叉阻尼系数几乎相等,并用Matlab绘制了轴承的扰动压力分布图。
To analyze the rotor dynamics of the multistage pump, it is necessary to calculate the dynamic coefficients of journal bearing. The derivatives of the Reynolds equation were transformed into difference forms. The Reynolds equation was solved by programming in the Matlab, then the distribution of the static pressure was obtained. The dimensionless pressure was determined by width-diameter ratio and eccentricity ratio. To get the eccentricity ratio, the bearing capacity was calculated by using Simpson＇s integral formula. The eccentricity ratio was changed by using interpolation method until bearing capacity equal the reverse supporting force. The pressure of small disturbance was obtained by programming and calculating the dynamic coefficients. The width-diameter ratio and eccentricity ratio was set as 0.2 and 0.4 respectively. Compared the results of this algorithm with that of the short bearing approximation, it showed that this algorithm was reliable. The results showed that the cross-damping coefficients of one journal bearing were almost equal. The diagrams of the journal beating＇s pressure with small disturbance were drawn by Matlab.
出处
《农业机械学报》
EI
CAS
CSCD
北大核心
2013年第5期74-78,共5页
Transactions of the Chinese Society for Agricultural Machinery
基金
国家自然科学基金资助项目(51276083)
关键词
多级泵
动特性系数
滑动轴承
有限差分法
Multistage pump
Dynamic coefficients
Journal bearings
Finite difference method
