Interpolating Involute Curves
Abstract
We propose a straightforward method for designing an interpolating involute curve whose radius of curvature is piecewise linear or quadratic with respect to winding angle. Designers can specify and control the curvature radius profile to a certain extent. End radii of a circle involute are solved in terms of end tangent angles, and a G(sup 1) involute curve is derived by the Hermite interpolation. For G(sup 2) and G(sup 3) involute curves, relevant nonlinear equations are solved by the Newton-Raphson method. NC machines with an involute generator can draw the resulting curves with 'reduced data'.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 2000
- Accession Number
- ADP011995
Entities
People
- Mitsuru Kuroda
- Shinji Mukai
Organizations
- Toyota Technological Institute