Analytical Description of Meshing of Constant Pressure Angle Teeth Profiles on a Variable Radius Gear and its Applications

[+] Author and Article Information
Guido A. Danieli

Dipartimento di Meccanica, Università degli Studi della Calabria, 87030 Arcavacata di Rende (CS), Italy

J. Mech. Des 122(1), 123-129 (Jan 01, 2000) (7 pages) doi:10.1115/1.533551 History: Received March 01, 1999; Revised January 01, 2000
Copyright © 2000 by ASME
Topics: Pressure , Gears
Your Session has timed out. Please sign back in to continue.


Mabie, H. H., and Ocvirk, F. W., Mechanisms and Dynamics of Machinery, Wiley, New York, 1975.
Ollson, U., “Noncircular Cylindrical Gears,” Mechanical Engineering Series, Acta Polytech., Stockholm, No. 10, 1953.
Bloomfield, B., “Noncircular Gears,” Product Eng., March 1960, pp. 59–66.
Chironis, N. P., Gear Design and Applications, McGraw Hill Book Co., 1967.
Wunderlich, W., “Ebene Kinematic,” Bibliographishes Institute, Mannheim, 1970.
Wunderlich, W., “Contribution to Geometry of Elliptical Gears, Mechanism, and Machine Theory,” 10 , No. 4, pp. 273–278.
Dooner, D. B., and Seireg, A. A., The Kinematic Geometry of Gearing, Wiley Interscience, New York, 1995.
Litvin, F., Gear Geometry and Applied Theory, Prentice Hall Inc., 1994.
Scornaienchi, N. M., “Macchina Volumetrica a Doppio Glifo Rotante,” 1996, Università della Calabria, work in progress.
Danieli, G. A., “Profili di denti ad angolo di spinta costante per ruote a primitiva generalizzata,” Italian Patent application CS96A0011 presented on 25 July 1996.
Doege,  E., and Hindersmann,  M., “Optimised Kinematics of Mechanical Presses with Noncircular Gears,” Ann. CIBP, 46/1/97, pp. 213–216.
Salatino, F., “Profili di Denti ad Angolo di Spinta Costante per Ruote a Primitiva Generalizzata e Relative Applicazioni,” Università della Calabria, Dipartimento di Meccanica, Tesi di Laurea in Ingegneria Meccanica, February 1998.


Grahic Jump Location
Schematic representation of the tooth mesh for constant angle of pressure on variable radius wheels
Grahic Jump Location
Pressure line on a constant radius wheel
Grahic Jump Location
Feasible and unfeasible branches of the involute profile
Grahic Jump Location
Antirotating slotted link pitch lines and teeth profiles for λ=0.5,Δr=100,α=26, and z=36
Grahic Jump Location
Region of meshing of the previous gear in different positions during rotation, gear, and pitch line 1 in blue, gear, and pitch line 2 in cyan
Grahic Jump Location
Nondimensional angle of action (angle of action, divided by the contact angle of a single tooth if contact ratio were 1.00(2π/z))
Grahic Jump Location
Tooth contact ratio during the mesh in direct and reverse motion
Grahic Jump Location
Tooth profile of an elliptical pair of constant angle pressure gears
Grahic Jump Location
Wheel work to generate reciprocating motion through variable radius gears
Grahic Jump Location
Photograph of the wheel work as constructed
Grahic Jump Location
Nondimensional velocity as a function of displacement for λ=0.5Δr=100
Grahic Jump Location
Tooth lines for pure sinusoidal motion generation
Grahic Jump Location
Nondimensional velocity as a function of displacement for sinusoidal motion generation




Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In