TITLE

# Application of analytical geometry to the form of gear teeth

AUTHOR(S)
Goss, V.
PUB. DATE
September 2013
SOURCE
Resonance: Journal of Science Education;Sep2013, Vol. 18 Issue 9, p817
SOURCE TYPE
DOC. TYPE
Article
ABSTRACT
Nearly all gear wheels manufactured today have teeth with a profile based on the involute of a circle. The story of how this particular curve gained such mundane prevalence can be traced back to the pioneering work of European natural philosophers, in particular Euler. It involves the application of analytical geometry to a real world engineering problem.
ACCESSION #
90479645

## Related Articles

• REDEFINING RAKE AND TRAIL. Parker, James // Motorcyclist;Nov2008, Issue 1340, p28

The article defines rake and trail in an effort to solve the problem with sportbike setup. It is stated that trail is the distance in which the axle trails the point to the extent that the steering axis of a motorcycle contracts the ground. Meanwhile, rake is the angle of the steering axis...

• Gearing principle and geometric design of conical involute gear pairs with crossed axes. He, J.; Wu, X.; Cui, Y. // Proceedings of the Institution of Mechanical Engineers -- Part C;Dec2004, Vol. 218 Issue 12, p1517

A group of formulae for the geometric parameters, such as the gear mounting distance, crossed-axes angle, centre distance and helix angle of the tooth projection on the reference plane of a reference rack, of a crossed-axes gear drive of different arrangements are derived based on the analysis...

• Equipment Puzzler.  // Commercial Carrier Journal;Feb2007, Vol. 164 Issue 2, p24

The article presents a mathematical solution about the approximate unloaded radius of a 295/75R22.5 tire in inches. The 295 millimeters width is first converted to inches by dividing 25.4 to get 11.6. Since the aspect ratio is 75, the sidewall height would be 75% of the 11.6-inch section width...

• Tube geometry can force switchlike transitions in the behavior of propagating bubbles. de Lózar, A.; Heap, A.; Box, F.; Hazel, A. L.; Juel, A. // Physics of Fluids;Oct2009, Vol. 21 Issue 10, p101702

Microscale process engineering requires precise control of bubbles and droplets. We investigate geometry-induced control and find that a centered constriction in the cross section of rectangular tubes can lead to new families of steadily propagating bubbles, which localize in the...

• Profil KaydÄ±rmalÄ± Helisel DiÅŸli Ã‡arklarÄ±n Matematik Modellenmesi. Fetvacı, Cüneyt // Engineer & the Machinery Magazine;eki-ara2019, Vol. 60 Issue 697, p337

This paper studies the mathematical modelling helical gears manufactured by rack cutters. Based on Litvin's vector approach the equations that determine the geometries of cutter and generated gears are given. Addendum modification and asymmetric tooth profile are also taken into consideration in...

• Drill point geometry of multi-flute drills. Hsieh, Jung-Fa; Lin, Psang Dain // International Journal of Advanced Manufacturing Technology;Sep2005, Vol. 26 Issue 5/6, p466

This paper presents a comprehensive mathematical model for analysis of the geometries of conical, hyperboloidal, and ellipsoidal drills. The proposed method includes three particular features. The first is that a rotational disk-type abrasive wheel is modeled by revolution geometry, thus...

• DEVELOPMENT OF THE STEERING ALGORITHM OF THE PADDLE VESSELS USING VIRTUAL RUDDER. Grosheva, L. S.; Merzlyakov, V. I.; Perevezentsev, S. V.; Plyushchayev, V. I. // Vestnik of Astrakhan State Technical University. Series: Marine ;2013, Issue 1, p17

Steering the vessel with paddle wheels in the absence of a traditional rudder only by changing the rotation speed of paddle wheels is very difficult for the skipper. It requires automation of keeping the ship on course. The algorithm for steering the vessel and the results of mathematical...

• Mathematical Modeling And Design Optimization Of Plunge Shaving Cutter For Gears With Tooth Modifications. Chang, Shinn-Liang; Liu, Jia-Hung // AIP Conference Proceedings;10/10/2009, Vol. 1177 Issue 1, p267

Gears are the most important components in transmission systems. Modifications of gear teeth can accommodate errors and deformations encountered in the manufacture, assembly, and operation of gear pairs. For plunge shaving gears with tooth modifications, the design criteria of cutter clearance...

• Worm Gearings with Internal Worm. Modelling and Manufacture. PÁY, Gábor László // Scientific Bulletin Series C: Fascicle Mechanics, Tribology, Mac;2015, Vol. 2015 Issue 29, p66

The internal worm gear pairs are special ones, which are composed by a helical worm and an internal teeth worm wheel. The paper presents some aspects of construction models, mathematical model and the manufacturing method. Also, it presents the special devices which need for manufacturing.

Share