渐开线少齿差齿轮副承载能力系数

The Coefficient of Load-carrying Ability of Internal Mating Gears with Small Tooth Number Difference.

渐开线少齿差齿轮副,由于是内啮合,齿轮副的齿对之间的间隙很小,在受力后轮齿变形而使得同时有多对齿啮合。本文用简明的几何推导,弹性力学的方法,推导出了轮齿受载弹性变形后同时啮合的确切齿对和承受载荷最大的齿对的载荷与总载荷的比例系数——承载能力系数。利用承载能力系数可算出更符合实际的各齿对分别承受的载荷。经样机的设计、制造和试验结果表明,本文提出的计算方法和公式是正确的,可以有效地提高齿轮副的承载能力。

As the gap of teeth of internal matins gears with small tooth number difference is small, several teeth will mate simultaneously after the teeth are deformed by load. The number of teeth pairs mating simultaneously and the proportion coefficient of the biggest load on a tooth to total load is derived explicitly by means of geometric method and elastic mechanics. The load on each mating teeth pairs may be calculated respectively through the use of the coefficient. The result of the experiment for design and manufacture of prototype model shows that the calculation method and the formula suggested in this paper are correct. It can increase the load capacity effectively.