In this paper B-spline curve fitting and sweep surface generation are used for the geometric design of involute gears. Tooth profiles are described by a B-spline formulation based on interpolating data points with first and second derivative constrains. Tooth surfaces are generated by sweeping the B-spline profiles along specified trajectories. This representation scheme enables tooth shapes to be interactively controlled by manipulating control polygons and sweep trajectories. A CAD-CAE integration allows the analysis of contact and structural three-dimensional problems for various geometric configurations. In the paper the methodology is applied to the geometric design of involute pinions of face gear drives.
Gear geometric design by B-spline curve fitting and sweep surface modelling
BARONE, SANDRO
2001-01-01
Abstract
In this paper B-spline curve fitting and sweep surface generation are used for the geometric design of involute gears. Tooth profiles are described by a B-spline formulation based on interpolating data points with first and second derivative constrains. Tooth surfaces are generated by sweeping the B-spline profiles along specified trajectories. This representation scheme enables tooth shapes to be interactively controlled by manipulating control polygons and sweep trajectories. A CAD-CAE integration allows the analysis of contact and structural three-dimensional problems for various geometric configurations. In the paper the methodology is applied to the geometric design of involute pinions of face gear drives.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
