Abstract
We generate geodesic or nongeodesic trajectories for filament winding based on the StereoLithography model. The discrete trajectory is traced out by constantly appending a new propagation point determined from the two most recent points of the path. According to differential geometry and discrete geometry theory, nonslippage and nonbridging conditions are added to constrain the propagation point to obtain a stable winding trajectory. This method can be applied to any convex surface, either axisymmetric or nonaxisymmetric shapes. An application for pressure vessels is implemented to validate the feasibility.
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