Spur gears with contact ratio less than unity

Homero Jiménez-Rabiela, B. Vázquez-González, José Luis Ramírez-Cruz, Adrian Gustavo Bravo-Acosta
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Abstract

The objective of this research is to evaluate the design of a pair of spur gears and another analogous pair with a contact ratio of less than unity. Considering two pairs of normalized gears with equal diametral pitches and pressure angles, as well as equal pitch radii in their driving gears and equal pitch radii in their driven gears. For the first pair of gears with normalized tooth numbers, the contact ratio greater than unity es obtained. For the second pair of gears, the number of teeth is proportionally reduced, consequently obtaining a contact ratio of less than one. For both pairs, the maximum von Mises stresses are obtained using the finite element method. The pairs are compared qualitatively and quantitatively. This work contributes with novel elements of judgment for a better decision making of the industrialists interested in reducing the problems of normalized spur gears such as noise, abrasive wear, adhesive wear, temperature, and efforts induced by the overlapping relationship between coupled teeth; proposing them a practical solution that will open new avenues of research.
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接触比小于1的正齿轮
本研究的目的是评估一对直齿齿轮和另一个类似的副,接触比小于1的设计。考虑两对等径节距和压力角的归一化齿轮,其主动齿轮和从动齿轮的节距半径相等。对于齿数归一化的第一对齿轮,得到了大于1的接触比。对于第二对齿轮,齿的数量按比例减少,从而获得小于1的接触比。用有限元法得到了两副材料的最大von Mises应力。对它们进行了定性和定量比较。这项工作有助于为工业家提供更好的决策判断的新元素,以减少标准化正齿轮的问题,如噪音、磨料磨损、粘着磨损、温度和耦合齿之间的重叠关系引起的努力;向他们提出一个实用的解决方案,这将开辟新的研究途径。
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