减缓渐开线齿轮支座振动的有效措施

在齿轮传动领域中，至今仍然普遍认为，只要主动齿轮的输入扭矩保持恒定，渐开线齿轮支座就不会产生振动。本文的研究充分表明，渐开线齿轮机的构运行时，它的支座不可避免地会发生一定程度的振动，作者对渐开线齿轮机构运行过程中支座实际反力变化规律作了系统的剖析及研究，并推导出渐开线齿轮支座实际反力计算式及支座实际反力波动率方程组。该齿轮支座实际反力波动率方程组所显示的严密的数学力学关系揭示了导致渐开线齿轮支座强迫振动的主要隐因素就是齿间滑动摩擦，深入的分析研究进一步表明，抑制齿轮支座强迫振动的重要措施是有效地降低齿间滑动摩擦系数、合理地调配齿数和传动化比以及严格地控制中心距增量系数。

EFFECTIVE MEASURES FOR RESTRAINING THE VIBRATION OF THE SUPPORTS OF THE INVOLUTE GEARING

Up to now, it has universally been thought that provided the input torque of the driving gear of the involute gearing keeps constant, its supports do not vibrate. It has been proved by the researches in this article that the involute gear supports generate inevitably the forced vibration to a certain extent during operation. The author of this paper has made systematical analyses and researches on the changing laws of the actual reactions of the gear supports in operation, and derived the expressions for the actual reactions and a group of equations for calculating the fluctuation rate of the actual reactions. The close mathematical and mechanical relationships, which are described and expressed by the group of equations, reveal clearly that the main implicit factor leading to the forced vibration of the supports does be the sliding friction between teeth. Deeper researches and analyses have further indicated that the important measures for restraining the vibration of the supports are: reducing effectively the sliding friction coefficient between teeth, adjusting reasonably the tooth numbers and the transmission rate, and controlling strictly the center distance increment coefficient.