Researches on the Pitting of Power Transmitting Spur Gears : (2nd Report, Lubrication Theory of the Oil Film between Two Rolling Rollers Considering Their Deformation)

• Published in: Nippon Kikai Gakkai Rombunshū Vol. 27; no. 178; pp. 884 - 891
• Main Author: HASHIMOTO, Seiya
• Format: Journal Article
• Language: English; Japanese
• Published: The Japan Society of Mechanical Engineers 1961
• ISSN: 0029-0270; 2185-9485
• DOI: 10.1299/kikai1938.27.884

Up to the present, the maximum pressure between two rolling rollers has been calculated by hydrodynamic theory on the assumption that the rollers are rigid bodies, or using a method devised by Hertz which ignored the oil film. But these two methods are the extreme cases and unresonable points arise in general case. In this report, a hydrodynamic lubrication theory between two rollers, taking into account the elastic deformations of the rollers, is presented. It was difficult to obtain analytical solutions of the equations, so the author used a digital computer to obtain numerical solutions. As a result, it was shown that under a light load the hydrodynamic pressure calculated by this theory was very close to that calculated by the hydrodynamic theory neglecting deformation, and that under the heavy load the pressure calculated by this theory approached the Hertzian elastic stress. The maximum pressure calculated by this theory was lower than the one calculated by either of the two classical theories.