The Geometry of Involute Gears (original) (raw)
Related papers
[21]) on external modified involute gear teeth is presented in this technical report. The teeth in question are composed of an involute working profile from the outer to the form circle of the gear and of a circular fillet from the form to the root circle, replacing the conventional trochoidal fillet. This circular fillet has been proved to increase the bending strength of the gear without altering any other of its functional characteristics (Spitas et al. [22]) and therefore it can readily replace the corresponding conventional gears in a mechanism.
Utilization of Computer Programs in Modelling of Gears with Asymmetric Involute Teeth
2008
This paper studies the equations of rack cutters for generating helical gears with asymmetric involute teeth. By applying profile equations of the rack cutter, the principle of coordinate transformation, the theory of differential geometry, and the theory of gearing, the mathematical models of involute helical gear is given. The paper presents aspects regarding the utilisation of computer programmes for computer aided design graphical modelling of cylindrical gears with asymmetric involute teeth. Software applications in the domain of computing the points that define the profile and the line of tooth flanks, as well as their 2 and 3 D representation are performed.
IJERT-Design of Involute Spur Gears with Asymmetric teeth & Direct gear Design
International Journal of Engineering Research and Technology (IJERT), 2014
https://www.ijert.org/design-of-involute-spur-gears-with-asymmetric-teeth-direct-gear-design https://www.ijert.org/research/design-of-involute-spur-gears-with-asymmetric-teeth-direct-gear-design-IJERTV1IS6377.pdf Design of gears with asymmetric teeth that enables to increase load capacity, reduce weight, size and vibration level.. standard tool parameters and uses nonstandard tooth shapes to provide required performance for a particular custom application. This makes finite element analysis (FEA) more preferable than the Lewis equation for bending stress definition. This paper does not describe the FEA application for comprehensive stress analysis of the gear teeth. It sents the engineering method for bending stress balance and minimization.
2019
Today, involute spur gears are the most common in mechanical engineering. However, besides of the benefits, involute teeth present several disadvantages. To overcome those disadvantages, designers resort to changes that increase the complexity of equipment, cutting tools that lead to the expensive cost. On another hand, gear and transmission, namely sinusoidal gear and transmission is known by higher properties. The results of the simulation of involute and sinusoidal gearing are described in the article. Proved that, sinu-soidal gears have higher performance parameters. Simulation confirmed that sinusoidal gear have higher bending strength, lower contact stress, reduced contact friction and tension in the edging contact, improved performance indicators of transmission. The advantages are due to the following features of the sinusoidal gears geometry: gear tooth profile outlined by a smooth sine wave curve; greater teeth thickness on the pitch circle; wide range of coast flank pressure angle. A new method of gears machining is described. This technology makes it possible to reduce number of expensive and complex gears cutting tools and gears machine tools, greatly simplifies technology of tooth cutting and reduces the cost of gears manufacturing by a numerous times. The method has a wide versatility, provides the opportunity to produce a variety of gears types including, gears with asymmetric teeth.
Area of Existence of Involute Gears
Direct Gear Design, 2013
This paper presents a unique approach and methodology to define the limits of selection for gear parameters. The area within those limits is called the "area of existence of involute gears" (Ref. 1). This paper presents the definition and construction of areas of existence of both external and internal gears. The isograms of the constant operating pressure angles, contact ratios and the maximum mesh efficiency (minimum sliding) isograms, as well as the interference isograms and other parameters are defined. An area of existence allows the location of gear pairs with certain characteristics. Its practical purpose is to define the gear pair parameters that satisfy specific performance requirements before detailed design and calculations. An area of existence of gears with asymmetric teeth is also considered.
Design of Involute Spur Gears with Asymmetric teeth & Direct gear Design
2012
Design of gears with asymmetric teeth that enables to increase load capacity, reduce weight, size and vibration level.. standard tool parameters and uses nonstandard tooth shapes to provide required performance for a particular custom application. This makes finite element analysis (FEA) more preferable than the Lewis equation for bending stress definition. This paper does not describe the FEA application for comprehensive stress analysis of the gear teeth. It sents the engineering method for bending stress balance and minimization.
Direct Gear Design for Spur and Helical Involute Gears
2002
analysis and design of spur and helical involute gears. Introduction Modern gear design is generally based on standard tools. This makes gear design quite simple (almost like selecting fasteners), economical, and available for everyone, reducing tooling expenses and inventory. At the same time, it is well known that universal standard tools provide gears with less than optimum performance and— in some cases—do not allow for finding acceptable gear solutions. Application specifics, including low noise and vibration, high density of power transmission (lighter weight, smaller size) and others, require gears with nonstandard parameters. That’s why, for example, aviation gear transmissions use tool profiles with custom proportions, such as pressure angle, addendum, and whole depth. The following considerations make application of nonstandard gears suitable and cost-efficient: • CNC cutting machines and CMM gear inspection equipment make production of nonstandard gears as easy as product...