Variational problem for a gas journal bearing

被引：0
|
作者：
Boldyrev, Yu. Ya. [1 ]
Petukhov, E. P. [1 ]
机构：
[1] Inst Appl Math & Mech, Peter Great St Petersburg Polytech Univ, St Petersburg 195251, Russia
来源：
Fluid Dynamics | 2015年 / 50卷 / 02期
关键词：
gas lubricant; calculus of variations; maximum lifting force; periodic problem; compressibility number; Elrod-Burgdorfer condition; SLIDER BEARING; OPTIMUM;
D O I：
10.1134/S0015462815020039
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
A variational problem for a gas journal bearing is considered in the one-dimensional formulation. The feature of the problem relates to the fact that an additional condition of gas exchange with the surrounding medium, namely, the Elrod-Burgdorfer condition, is used in the Reynolds equation. The system of necessary conditions of the extremum is qualitatively analyzed and, as a result, a computational procedure is constructed. An asymptotic relation between a solution of the variational problem considered and a solution of the problem when the pressure is specified on the boundaries of the region ("open profile") is detected. The results are given over a wide parameter range.
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页码：193 / 202
页数：10
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