Composites part a-applied science and manufacturing vol:35 issue:2 pages:181-195
This paper (Part I) outlines a method for the determination of the required input parameters for the kinematic solution of the filament winding problem. The kinematic solution itself is explained in 'Filament winding', Part II. The hereby presented strategy starts with the description of some general equations reflecting on the derivation of the tangent, normal and binormal vectors, curvatures and torsion. From the most general case of non-rotationally symmetric surfaces, a reduction is realised towards shells of revolution, which form the most popular class of objects created with filament winding techniques. The associated fibre paths may be (non-) geodesic. The final formulation is expressed in angular parameters that are closely related to the design process of the shell to be wound, and does not suffer from cumulative error generation. Additionally, the associated required calculation time seems to be generally significantly shorter when compared to wound surface discretisation techniques. (C) 2003 Elsevier Ltd. All rights reserved.