General Relations for Exact and Inexact Involute Bodies of Revolution

摘要

A thorough treatment of the mathematical modeling characterizing various aspects of involute construction geometry is presented in this report. Included in the work are the equations that describe the exact involute approach as well as the so called start-line method which contains certain approximations. New features incorporated include the treatment of interleaf ply patterns, kinematics of debulking, errors caused by the approximations in the start-line approach in terms of discontinuity strains, and explicit (closed form) relations that characterize the hypothetical involute surface in the latter approach. The equations presented also provide a complete description of the involute surface geometric parameters necessary to define the distribution of the elastic stiffness tensor. (Author)