The Synthesis of an N-Lobe Noncircular Gear Using Bézier and B-Spline Nonparametric Curves in the Design of Its Displacement Law

[+] Author and Article Information
Héctor Fabio Quintero Riaza

Mechanical Engineering Faculty, Universidad Tecnológica de Pereira, Pereira, Columbiahquinte@utp.edu.co

Salvador Cardona Foix, Lluïsa Jordi Nebot

Mechanical Engineering Department, Universitat Politècnica de Catalunya, Barcelona, Spain

J. Mech. Des 129(9), 981-985 (Sep 18, 2006) (5 pages) doi:10.1115/1.2748453 History: Received June 09, 2006; Revised September 18, 2006

This paper presents a method for defining the relationship between the angular coordinates of N-lobe noncircular gear wheels using Bézier and B-spline nonparametric curves. After designing the displacement law, conjugate pitch curves are obtained using an analytical method that takes the driver angular coordinate as an input variable. With N-lobe noncircular gears, the number of speed cycles per revolution can be increased. In addition, N-lobe noncircular gears are well balanced because they rotate around their geometric center. Bézier nonparametric curves and B-spline nonparametric curves are used to obtain the displacement laws of an N-lobe noncircular gear. Using these functions, an N-lobe noncircular gear that satisfies a given relationship between the rotation angles of the driving and driven wheels can be designed or a given transmission ratio can be obtained.

Copyright © 2007 by American Society of Mechanical Engineers
Your Session has timed out. Please sign back in to continue.



Grahic Jump Location
Figure 1

Example of the derivate of a Bezier curve (25)

Grahic Jump Location
Figure 2

Design of N-lobe noncircular gear using Bezier curves as displacement law

Grahic Jump Location
Figure 3

Example of the derivate of a B-spline curve [28]

Grahic Jump Location
Figure 4

Design of N-lobe noncircular gear using B-spline curves as displacement law




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