Non-Geodesic Trajectories for Filament Wound Composite Truncated Conical Domes

The goal of this paper is to present non-geodesic trajectories for filament wound truncated conical domes for pressure vessels. The fiber trajectories for non-geodesically overwound truncated conical shells are obtained based on differential geometry and the non-geodesic winding law. The influence of the slippage coefficient on non-geodesic trajectories is evaluated in terms of the winding angle distributions. The non-geodesic trajectories corresponding to various initial winding angles are also illustrated for the given slippage coefficient. The results show that the winding angle distribution of non-geodesics on a truncated conical dome has an overall increase with the increase of the slippage coefficient or the initial winding angle. The present method can provide a significant reference for developing non-geodesically overwound conical structures.