Abstract

A variational problem for a radial gas journal bearing with two sectors is considered. The pressure field in the gas layer can be described by the nonlinear Reynolds equation for arbitrary compressibility numbers. The magnitude of the resultant pressure force vector is used as a functional of the variational problem. The system of necessary conditions of the extremum is qualitatively analyzed and, as a result, a computational procedure is constructed. Based on the analysis of the complete system of necessary conditions, it is shown that the profile on each of the sectors is piecewise linear and single-stage; at the same time, one sector provides only gas rarefaction, while the other provides only gas compression.

中文翻译：

---

具有最大负载能力的径向两扇区气体轴承

摘要

考虑了具有两个扇区的径向气体轴颈轴承的变体问题。气体层中的压力场可以通过非线性雷诺方程描述任意压缩数。合成压力矢量的大小用作变化问题的函数。定性地分析了极值的必要条件系统，从而构造了计算程序。在对必要条件的完整系统进行分析的基础上，表明每个扇区的轮廓都是分段线性和单级的；同时，一个扇区仅提供气体稀疏，而另一扇区仅提供气体压缩。