
Accession Number : ADA294025
Title : Windable QuasiGeodesic Paths on Surfaces of Revolution.
Descriptive Note : Final rept.,
Corporate Author : ARMY ARMAMENT RESEARCH DEVELOPMENT AND ENGINEERING CENTER WATERVLIET NY BENET LABS
Personal Author(s) : Soanes, Royce W.
PDF Url : ADA294025
Report Date : FEB 1995
Pagination or Media Count : 27
Abstract : If r is the profile or radius function for a surface of revolution and ro is the polar radius function, a quasigeodesic path on the surface can be defined by the generalized Clairaut relation rSin(w)=ro, where w is the meridional angle. An inequality involving r,r',rn,ro,and ro', is derived. The global satisfaction of this inequality guarantees the windability of the path on a convex (rn<0) surface by a filament winding machine. If the surface is concave anywhere (rn>0) and a more well known clinging inequality is also satisfied, windability is also guaranteed. By windable, we mean that the winding data produced from the path represents a singlevalued function and that the wound filament does not bridge. In addition to this new windability criterion, simplified methods for generating quasigeodesic paths and properly scaled winding data are also presented. (AN)
Descriptors : *DIFFERENTIAL GEOMETRY, *GEODESICS, ALGORITHMS, DATA MANAGEMENT, PATHS, MATHEMATICAL PROGRAMMING, SURFACES, COORDINATES, FILAMENTS, RADIUS(MEASURE), PERIODIC FUNCTIONS, WINDING, MONOTONE FUNCTIONS, BODIES OF REVOLUTION.
Subject Categories : Geodesy
Numerical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE