Open AccessProposed parameter for the characterization of friction in cylindrical gears teeth contact
Author(s) -
Stelian Alaci,
Carmen Bujoreanu,
N. D. Petrea,
Florina-Carmen Ciornei,
Luminiţa Irimescu
Publication year - 2020
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/724/1/012008
Subject(s) - pinion , involute , cycloid , pendulum , cycloid gear , mechanism (biology) , involute gear , rack , mechanics , work (physics) , physics , classical mechanics , engineering , structural engineering , mechanical engineering , reducer , quantum mechanics
Gear mechanisms are widely used in technical applications, mainly for transmitting rotational motion between two axes with constant transmission ratio via a higher pair. Significant friction energy loss in the pair between teeth highlights the importance of estimating the mechanical work lost by friction within this contact. In a previous study, the coefficient of rolling friction between a cylindrical body and a flat face body was found based on the decrease of oscillations amplitude of a cycloidal pendulum. The basic idea of the present paper follows the observation that in the case of a gear mechanism, the relative motion between the wheels can be taken as relative motion of their axodes. In this regard, a pendulum obtained from a mobile cylindrical gear with attached rod and a fixed corresponding rack is considered. The law of motion of the cycloidal pendulum is applied for the proposed pendulum and an “equivalent rolling friction coefficient” which characterises the friction between the teeth of the pinion and the rack is found. The differential equation modelling the motion of the pinion-rack pendulum is difficult to obtain, which is explained by the analysis of the involute gear field of a general cylindrical gear mechanism.