Alternative approach for determination of singularity of envelope to a family of parametric surfaces

摘要

The purpose of the paper is determination of singularities of an envelope to a family of parametric surfaces. The authors propose a simplified solution to this problem based on consideration of the surface of action that is formed by the lines of tangency of the envelope and the generating surface of the tool. The proposed approach is illustrated by determination of singularities of envelopes for complex cases of surface generation. Computer programs in support of numerical solutions have been developed.