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表面粗糙度對以磁性流體為潤滑液之階梯軸承效應分析

Effect of Surface Roughness on the Lubrication of Step Bearings with Ferrofluid

摘要


本文以鐵磁性流體為潤滑劑,探討表面粗糙之無限長二階步階軸承的性能。鐵磁性流體對軸承的性能之影響,採用Shah之理論模式,分析模式中包含鐵磁性流體特性之修正項μ0M(∂H/∂x)+(16πμ0r^3χM)/(9(l+2)^3)(∂H/∂x);表面粗糙度對軸承性能之效應,採用Christensen隨機粗糙度模式,即軸承表面加工受刀具作用,造成一維縱向粗糙或一維橫向粗糙。軸承壓力分佈及負載能力等軸承性能以磁性參數、粗糙度參數及步階形狀參數表示。分析結果顯示,使用鐵磁性流體為潤滑劑,可提高軸承之壓力分佈及負載能力。步階軸承以鐵磁性流體作為潤滑劑時,是否受到外加磁場作用,其軸承操作性能有明顯差異。具橫向粗糙度之步階軸承,以鐵磁性流體為潤滑液,在受外加磁場作用時,可提升步階軸承的潤滑操作性能。

並列摘要


The main purpose of this study is to discuss the affections of ferrofluid combined with surface roughness to the infinite long two step bearing. To consider the influences of ferrofluid to the two step bearing, the Shah's theoretical model is adopted, and the modified item of ferrofluid characteristic, μ0M (∂H/∂x) + (16πμ0r^3χM)/9(l+2)^3(∂H/∂x), proposed by Shah is included. On the basis of the Christensen's stochastic model, the longitudinal or transverse one dimensional roughness effects to the two step bearing due to surface finishing are explored. The pressure distribution and load carry capacity of the bearing system can be expressed as function of magnetic parameter, roughness parameter and shape parameter. According to the results, the two step bearing lubricated with ferrofluid can enhance the pressure distribution and improve the load carry capacity. When the bearing system is lubricated with magnetic ferrofluid, whether the system subjected to external magnetic field or not, the performance characteristics have significant affections. If the two step bearing possessed with transverse one dimensional roughness, lubricated with ferrofluid and subjected to external magnetic field, the lubrication performances of the two step bearing can be highly improved.

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