DERIVATION OF THE STABLE CONDITION OF NON-GEODESIC WINDING AND CRITERIA OF MANUFACTURABILITY OF FILAMENT WINDING

For the first time, this paper presents the mathematical derivation of non geodesic winding on a general surface. It amends the theoretical defects of published literature and makes non-geodesic winding theoretically convincing. It also gives an algorithm to determine the outwards directed normal vector. Based on this method, criteria to evaluate the manufacturability of winding are concluded.