Geometrical Characteristics of Flat-Faced Bodies of Revolution

摘要

Transition curves between flat faces and parallel middle bodies are developed as families of special polynomials termed cubic polynomials. The curves start and end with zero curvature to provide no discontinuities in curvature at the junction with the flat faces and the parallel middle bodies. Each cubic polynomial is a linear combination of independent polynomials controlled by adjustable parameters. Permissible ranges of the adjustable parameters are examined with respect to selected geometrical constraints such as inflection points. (Author)