Effect of rarefied effect on the performance of tilting pad dynamic pressure gas bearings
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摘要: 以微型三可倾瓦动压气体轴承为研究对象,采用连续模型、一阶滑移模型和WU新滑移模型速度边界条件,建立考虑稀薄效应的滑移修正雷诺方程。结合牛顿迭代法和有限差分法求解修正雷诺方程,计算考虑稀薄效应的三可倾瓦动压气体轴承各瓦块压力分布和承载力。计算结果表明:三可倾瓦动压气体轴承偏心率越大,转速越大,压缩系数越大,轴承承载力越大;考虑稀薄效应后,计算出的可倾瓦动压气体轴承承载力明显下降,且随着克努森数的增大,WU新滑移模型计算得到的承载力明显低于一阶滑移模型。Abstract: Based on the velocity boundary conditions of the continuous model, the first order slip model and the new WU slip model, the slip modified Reynolds equation considering the rarefied effect was established. Combined with the Newtons method and the finite difference method to solve the modified Reynolds equation, the pressure distribution and bearing capacity of each pad of the tilting pad gas bearing considering the rarefaction effect were calculated. The results showed that the greater the eccentricity, the greater the rotation speed, the greater the compression coefficient and the greater the bearing capacity of the tilting pad gas bearing. After considering the rarefied effect, the calculated bearing capacity of the tilting pad dynamic pressure gas bearing significantly decreased, and as the Knudsen number increased, the bearing capacity calculated by the new WU slip model was significantly lower than the first-order slip model.
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