Consequences of the Basic Law of Flat Interlocking of Involute Cylindrical Gears

Abstract

Three consequences based on the basic law of the flat interlocking have been determined that allow the generation of asymmetric tooth profile on different poloidal circles. Gears with asymmetric profile are used in both mechanical engineering and measuring devices. Qualitative indicators of engagement that cannot be accomplished with a symmetric profile have been developed. A specific example of generation III has been presented. The qualitative indicators of engagement, which are invariant to the parameters of the tool, have been improved.

Optical Geometric Design of Small Modular Cylindrical Gears With Asymmetric Profile

“…The free geometric synthesis of evolvent cylindrical gears [4,5] with an asymmetrical profile of the cogs, as defined by the authors, allows for various effects expressed in: increase the flow rate of hydraulic gear pumps; increasing the load capacity of ordinary and epicyclical gears; the production of self-locking gears when reversing the direction of movement.…”

“…Based on the 20-years experience of the authors and over 60 publications on the problems of the asymmetrical profile, it has been found that a major problem in its use is the reversal of the direction of movement [1,2,3]. As a solution, the authors set out [4,5] a basic principle of interlocking, allowing the making of gears with an unachievable until now quality and strength indicators [12]. On the basis of the implications of this principle, three approaches have been developed for geometric synthesis and realization of unconditional areas of existence in the field of independent variables.…”