| WEI Cong,WANG You-qiang,ZHOU Ya-bo,LONG Shen-wen.Analysis on Isothermal Time-varying Elastohydrodynamic Lubrication of Spur Bevel Gear[J],47(6):202-209 |
| Analysis on Isothermal Time-varying Elastohydrodynamic Lubrication of Spur Bevel Gear |
| Received:December 18, 2017 Revised:June 20, 2018 |
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| DOI：10.16490/j.cnki.issn.1001-3660.2018.06.029 |
| KeyWord:elastohydrodynamic lubrication time-varying point of engaging-in point of engaging-out Hertzian contact roughness function |
| Author | Institution |
| WEI Cong |
School of Mechanical Engineering, Qingdao Technological University, Qingdao , China |
| WANG You-qiang |
School of Mechanical Engineering, Qingdao Technological University, Qingdao , China |
| ZHOU Ya-bo |
School of Mechanical Engineering, Qingdao Technological University, Qingdao , China |
| LONG Shen-wen |
School of Mechanical Engineering, Qingdao Technological University, Qingdao , China |
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| Abstract: |
| The work aims to reduce surface wear and provide theoretical guidance for gear design by studying pressure and film thickness in steady state and unsteady state during spur bevel gear transmission. A pair of spur bevel gears were equivalent to a pair of tapered roller models, calculation model of elastohydrodynamic lubrication during spur bevel gear meshing was established based upon infinite line contact theory. Isothermal elastohydrodynamic lubrication was analyzed first, oil film pressure and oil film thickness at point of engaging-in and point of engaging-out were calculated and analyzed on large end and small end of the gear. Oil film pressure and film thickness at five special points in small-end meshing interval were solved and analyzed. Allowing for the effects of transient time-varying effect, the oil film pressure and oil film thickness of spur bevel gear at three special instantaneous points were calculated and analyzed. Finally, numerical solution of the elastohydrodynamic lubrication under the effects of Gaussian rough asperity and cosine asperity was taken into account. On this basis, the oil film pressure and oil film thickness at different roughness peaks and wavelengths were calculated. The pressure was calculated in multi-grid method, and elastic deformation was calculated in multi-grid integration method. Under steady isothermal condition, the exit oil film thickness at point of engaging-in and point of engaging-out on the small end was slightly smaller than that on the large end. Minimum film thickness in small-end meshing interval gradually increased from the point of engaging-in to point of engaging-out. Under instantaneous transient effect, the oil film pressure at point of engaging-in was higher than that at point of engaging-out, and oil film thickness was lower than that at the other two instantaneous points. The oil film pressure under effect of Gaussian roughing asperity exhibited obvious partial pressure peak in Hertzian contact area, the oil film pressure showed partial depression in the Hertzian contact area. The oil film pressure and oil film thickness fluctuated in the Hertzian contact area under the effect of cosine roughness function, and fluctuation degree was more obvious as roughness amplitude and wavelength increased. Oil film pressure changes relatively mildly under the effect of Gaussian distribution roughness function, the maximum oil film pressure under the effect of cosine roughness function is lower than that under the effect of Gaussian distribution roughness function. Compared with oil film thickness under the effect of Gaussian distribution roughness function, the thickness under the effect of cosine roughness function shows periodic fluctuation in Hertzian contact zone. |
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