This paper presents a method for defining the relationship between the angular coordinates of -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 -lobe noncircular gears, the number of speed cycles per revolution can be increased. In addition, -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 -lobe noncircular gear. Using these functions, an -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.
The Synthesis of an -Lobe Noncircular Gear Using Bézier and -Spline Nonparametric Curves in the Design of Its Displacement Law
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Quintero Riaza, H. F., Foix, S. C., and Nebot, L. J. (September 18, 2006). "The Synthesis of an -Lobe Noncircular Gear Using Bézier and -Spline Nonparametric Curves in the Design of Its Displacement Law." ASME. J. Mech. Des. September 2007; 129(9): 981–985. https://doi.org/10.1115/1.2748453
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