有限差分法求动静压轴颈轴承性能研究

Research on problems concerning solutions for the performance of a hybrid gas journal bearing based on the finite difference method

为了对动静压轴颈轴承性能进行研究,利用有限差分方法编写了可以计算动静压气体轴承静态、动态和动静混合情况下性能参数的计算程序,分别讨论了前端角、网格数与收敛精度和偏位角对计算结果的影响.结果证明,前端角对求轴颈轴承静态性能没有影响,而网格数需要与收敛精度相匹配,否则对计算结果影响很大.在求动态性能时加入了偏位角嵌套循环,考虑了实际气膜厚度表达式对轴承性能的影响.计算结果与有实验验证的算例相比较,两者误差在5%以下,证明此程序方法计算结果正确可靠,该方法已成功应用于实际工程设计之中.

In order to research the performance of a hybrid gas journal beating, a calculation program based on the finite difference method was developed. This method can be used to calculate the bearing performance for various types of beatings, such as a hydrostatic gas bearing, hydrodynamic gas beating, and hybrid gas bearing. The influence of the nosed angle, grid number, convergence precision and attitude angle on calculation results was discussed respectively. It was proven that the nosed angle has no effect on the results of the static performance of the journal bearing. The grid number should match the convergence precision; otherwise the calculation results will be influenced significantly. A nested loop of attitude angle was added to this program in order to calculate the dynamic effect; this loop took into account the influence of gas film thickness expression in the calculation results of the bearingg performance. The calculation resubs were compared with a case which was validated by an experiment. It showed that the relative errors were below 5%, which proved that the calculation results of this program were highly reliable and accurate. Furthemore, this program has been successfully applied to actual engineering design.