多孔质静压径向轴承的理论建模与数值计算

顾延东,成立,BHLE Martin,SCHIMPF Artur,袁寿其

振动与冲击 ›› 2021, Vol. 40 ›› Issue (20) : 16-24.

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振动与冲击 ›› 2021, Vol. 40 ›› Issue (20) : 16-24.
论文

多孔质静压径向轴承的理论建模与数值计算

  • 顾延东1,2,3,成立1,BHLE Martin3,SCHIMPF Artur3,袁寿其2
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Theoretical modeling and numerical solution of hydrostatic radial bearings with porous restrictor

  • GU Yandong1,2,3,CHENG Li1,BHLE Martin3,SCHIMPF Artur3,YUAN Shouqi2
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摘要

为计算多孔质静压径向轴承静特性,基于雷诺润滑方程、多孔质达西方程和连续方程,建立了考虑多孔质-气膜交界面速度滑移的多孔质轴承流动模型。采用有限差分法、变步长差分格式、逐次超松弛法,提出Laplace-Neumann虚拟节点法,建立了流动控制方程组同时迭代的数值方法,编写了快速稳定的求解器PBS(porous bearing solver)。PBS承载能力、压力场、速度场等与ANSYS Fluent相近,但PBS实现了即时仿真。利用PBS分析了供给压差和润滑剂黏度对静特性的影响,结果表明:随着供给压差增大,承载能力和供给流量线性增大,供给功耗平方增大。随着黏度增大,承载能力略微增大,流量和功耗线性减小。随着偏心率增大,承载能力、流量及功耗增大。该自主求解器和结论可为多孔质轴承设计提供参考。

Abstract

To predict the static characteristics of the hydrostatic radial bearing with a porous restrictor, a flow model for porous bearings, in which the velocity slip on the interface between the porous and film domains was considered, was established based on the Reynolds equation for lubrication, the Darcy equation for porous material, and the continuity equation.With the finite difference method, difference schemes for non-uniform grids, successive an overrelaxation method, a Laplace-Neumann virtual node method was proposed, and thus a numerical method for simultaneously solving the flow governing equations was established.The in-house solver named PBS was programmed and presented fast and stable performance.PBS agrees well with ANSYS Fluent in terms of the bearing capacity, pressure field, velocity field, etc., but PBS implements instant simulation.The effects of pressure difference and viscosity of feeding lubricant on the static characteristics were analyzed by using PBS.With the increase of pressure difference, the load capacity and feeding flowrate rise linearly, and the feeding power consumption grows quadratically.With the increase of lubricant viscosity, the load capacity rises slightly while the flowrate and power consumption drop linearly.As the eccentricity ratio increases, the load capacity, flowrate and power consumption increase.This solver and conclusions can provide a reference for the porous bearing design.

关键词

多孔质静压径向轴承 / 理论建模 / 数值计算 / 即时仿真 / 供给压差 / 润滑剂黏度

Key words

hydrostatic radial bearing with porous restrictor / theoretical modeling / numerical solution / instant simulation / feeding pressure difference / lubricant viscosity

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顾延东,成立,BHLE Martin,SCHIMPF Artur,袁寿其. 多孔质静压径向轴承的理论建模与数值计算[J]. 振动与冲击, 2021, 40(20): 16-24
GU Yandong,CHENG Li,BHLE Martin,SCHIMPF Artur,YUAN Shouqi. Theoretical modeling and numerical solution of hydrostatic radial bearings with porous restrictor[J]. Journal of Vibration and Shock, 2021, 40(20): 16-24

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