本文選題：滑移修正 + 有限體積法��； 參考：《上海應用技術大學》2017年碩士論文

【摘要】：考慮滑移效應對靜壓氣體軸承特性的影響,并引入一階滑移、Wu (2008)新滑移、及二階滑移修正Reynolds方程。采用有限體積法的混合差分格式來離散連續(xù)模型Reynolds方程和一階滑移、Wu (2008)新滑移、及二階滑移修正Reynolds方程。而且利用一階滑移、Wu (2008)新滑移、及二階滑移速度來修正靜壓氣體軸承各節(jié)流孔區(qū)域的流出流量。從而根據(jù)流量守恒原理,建立無滑移修正及經(jīng)滑移修正的各節(jié)流孔區(qū)域流量守恒方程。最終,使用SOR迭代算法聯(lián)合流量守恒型變步長迭代算法,對小氣膜間隙(小于4.0μm)、高轉速(大于1.0×104r/min)條件下的靜壓氣體軸承特性進行數(shù)值分析。進一步在MATLAB軟件平臺上,對無滑移模型、一階滑移、Wu (2008)新滑移、及二階滑移模型靜壓氣體軸承內部氣壓進行編程計算。而且在不同的氣膜間隙、轉速、及偏心率等條件下,通過對比連續(xù)模型和一階滑移、Wu (2008)新滑移、及二階滑移模型的結果發(fā)現(xiàn):(1)當氣膜間隙小于1.0μm時,連續(xù)模型嚴重高估了最小氣膜厚度周圍的氣壓、承載力、及最終剛度。而且在最小氣膜厚度處,相較于Wu (2008)新滑移模型的結果,一階滑移模型高估了氣壓,二階滑移模型低估了氣壓分布;(2)連續(xù)模型與一階滑移、Wu (2008)新滑移、及二階滑移模型預測的承載力、剛度之間偏差隨氣膜間隙的減小而放大,已無法適用于小氣膜間隙條件下的靜壓氣體軸承承載和剛度等特性分析;(3)在小氣膜間隙條件下,需使用滑移邊界條件來修正靜壓氣體軸承的主控方程和各節(jié)流孔區(qū)域的流量守恒方程,以便較準確的估算靜壓氣體軸承的壓強、承載力、及剛度等力學特性:(4)進一步考慮到物理上的真實性,發(fā)現(xiàn)使用Wu (2008)的新滑移模型對主控方程、氣流速度分布以及流量進行修正,可以得到較好的靜壓氣體軸承氣壓、承載、及剛度等特性。這為靜壓氣體軸承性能估算提供了一定的理論基礎。
[Abstract]:The influence of slip effect on the characteristics of hydrostatic gas bearing is considered, and a new slip is introduced, and the second-order slip correction Reynolds equation is introduced.The mixed difference scheme of finite volume method is used to discretize the Reynolds equation of continuous model and the first-order slip Wu Wu 2008) new slip, and second-order slip to modify the Reynolds equation.Moreover, the flow rate in the throttle region of the hydrostatic gas bearing is corrected by using the new slip of the first order slip Wu's 2008) and the second-order slip velocity.According to the principle of flow conservation, the flow conservation equations of every throttle with and without slip correction are established.Finally, the characteristics of hydrostatic gas bearings with small film clearance (< 4.0 渭 m) and high rotational speed (> 1.0 脳 10 ~ 4 r / min) are numerically analyzed using SOR iterative algorithm combined with flow conservation variable step size iteration algorithm.Furthermore, the non-slip model, the first-order slip model, the new slip model and the second-order slippage model are programmed on the MATLAB software platform for the calculation of the internal pressure of the hydrostatic gas bearing.Moreover, under different conditions of film clearance, rotational speed and eccentricity, by comparing the continuous model with the first-order slip Wu (2008) slip model, and the second-order slip model, it is found that: 1) when the film gap is less than 1.0 渭 m,The continuous model seriously overestimates the pressure, bearing capacity and final stiffness around the minimum film thickness.Compared with the results of the new slip model, the first order slip model overestimates the pressure, the second order slip model underestimates the pressure distribution and the second order slip model underestimates the pressure distribution at the minimum thickness of the gas film, and the first order slip model and the first order slip model Wu 2008) show that the first order slip model overestimates the pressure, and the second order slip model underestimates the pressure distribution.And the bearing capacity predicted by the second-order slip model, the deviation between stiffness increases with the decrease of the gap of the film, which is no longer suitable for the analysis of the bearing capacity and stiffness of the hydrostatic gas bearing under the condition of small film clearance. (3) under the condition of small film clearance, the bearing capacity and stiffness of the hydrostatic gas bearing can not be analyzed under the condition of small film clearance.In order to estimate the pressure and bearing capacity of hydrostatic gas bearing, it is necessary to modify the governing equation of hydrostatic gas bearing and the flow conservation equation of every throttle region by using slip boundary condition, so as to estimate the pressure and bearing capacity of hydrostatic gas bearing more accurately.Further considering the physical reality, it is found that the new slip model of Wu (2008) is used to modify the main governing equation, the distribution of airflow velocity and the flow rate, and the pressure and load of the hydrostatic gas bearing can be obtained.And stiffness and other characteristics.This provides a theoretical basis for the performance estimation of hydrostatic gas bearings.
【學位授予單位】：上海應用技術大學
【學位級別】：碩士
【學位授予年份】：2017
【分類號】：TH133.36

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