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.

Issue Section:
Technical Briefs
Keywords:
splines (mathematics), power transmission (mechanical), gears, wheels, synthesis of displacement law, N-lobe noncircular gear
Topics:
B-splines, Design, Displacement, Gears, Splines, Wheels
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Copyright © 2007
 by American Society of Mechanical Engineers
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