Topic
Involute
About: Involute is a research topic. Over the lifetime, 3385 publications have been published within this topic receiving 19902 citations. The topic is also known as: evolvent.
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TL;DR: In this paper, a method of research and design of gears with asymmetric teeth is presented, which enables to increase load capacity, reduce weight, size and vibration level of gears.
195 citations
TL;DR: It is obtained that the spherical images are spherical helices and it is shown that a curve of constant precession is a slant helix.
181 citations
TL;DR: In this paper, the authors proposed a modified geometry of an asymmetric spur gear drive designed as a combination of an involute gear and a double crowned pinion that enables to localize and stabilize the bearing contact and obtain a favorable shape of transmission errors.
177 citations
TL;DR: In this article, the influence of involute contact ratio on the torsional vibration behavior of a spur gear pair is investigated experimentally by measuring the dynamic transmission error of several gear pairs using a specially designed gear test rig.
Abstract: The influence of involute contact ratio on the torsional vibration behavior of a spur gear pair is investigated experimentally by measuring the dynamic transmission error of several gear pairs using a specially designed gear test rig. Measured forced response curves are presented, and harmonic amplitudes of dynamic transmission error are compared above and below gear mesh resonances for both unmodified and modified gears having various involute contact ratio values. The influence of involute contact ratio on dynamic transmission error is quantified and a set of generalized, experimentally validated design guidelines for the proper selection of involute contact ratio to achieve quite gear systems is presented, A simplified analytical model is also proposed which accurately describes the effects of involute contact ratio on dynamic transmission error.
168 citations
TL;DR: In this paper, a non-Newtonian, mixed elastohydrodynamic lubrication (EHL) model of involute spur gear tooth contacts is proposed to continuously follow the contact of a tooth pair from the root to the tip to capture the transient characteristics of lubricated spur gear contacts.
Abstract: In this study, a transient, non-Newtonian, mixed elastohydrodynamic lubrication (EHL) model of involute spur gear tooth contacts is proposed. Unlike the contact between two cylindrical rollers, spur gear contacts experience a number of time-varying contact parameters including the normal load, radii of curvature, surface velocities, and slide-toroll ratio. The proposed EHL model is designed to continuously follow the contact of a tooth pair from the root to the tip to capture the transient characteristics of lubricated spur gear contacts due to these parameter variations, instead of analyzing the contact at discrete positions assuming time-invariant parameters. The normal tooth force along the line of action is predicted by using a gear load distribution formulation and the contact radii and tangential surface velocities are computed from the kinematics and geometry of involute profiles. A unified numerical approach is adapted for handling asperity interaction in mixed EHL conditions. The differences between the transient and discrete EHL analyses are shown for a spur gear pair having smooth surfaces and different tooth profile modifications. The transient behavior predicted by the proposed model is found to be mainly due to the squeezing and pumping effects caused by sudden load changes. The lubrication behavior under rough conditions is also investigated at different operating conditions. DOI: 10.1115/1.4000270
150 citations