Abstract

In today's mechanical transmissions most widely used, the gears, are spread across all industries. For this reason, their importance has become overwhelming, which is why we want to recall in this paper some important aspects regarding toothed wheels. It is the geometry, cinematic, the forces and the yields of these mechanisms, which will be presented in the work in the form of newly synthesized relations on modern bases. Another important aspect in toothed wheels is their synthesis by modern methods that avoid tooth interference during operation. To avoid the interference between teeth, we must know the minimum number of teeth of the driving wheel, in function of the pressure angle (normal on the pitch circle, alpha0), in function of the tooth inclination angle (beta) and in function of the transmission ratio (i). In optimal and high-efficiency gearing, gears require a modern design with increased coverage. These achievements can only be achieved today in the context of lowering the value of the alpha engagement angle. Through all the aspects presented, which relate to the dynamics of gears, the work can be considered among those of the optimal dynamic synthesis of the gears.

Highlights

  • Gears have spread today in all areas

  • The calculations show a decrease in the efficiency of the with the tilt angle on the rise of the teeth (β)

  • When the tilt angle is greater than 25°, speeds will suffer a significant decrease in the yield: η m

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Summary

Introduction

Gears have spread today in all areas. They have the advantage of working with very high efficiency. } − ( zi − 2 ⋅ cos β ) ⋅ tgα0 2 − 4 ⋅ cos β ⋅ ( zi − cos β ) − ( ze − zi ) ⋅ tgα0

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