Abstract
Special helical surface is widely used in machinery manufacturing industry. This chapter discussed the effect of fundamental and important parameters on generic model of the helical surface, based on differential geometry, spatial engaging theory and method of Cartesian coordinate conversion. A ‘guide helix line method’ was proposed, and with this method a discrete mathematical model of non-cylinder helical surface was established. The obtained discrete mathematical model can readily have access to the coordinate information of each point and can conveniently design high-precision helical surface through programming and execute the software in the MATLAB environment. This mathematical model may find specific and significant application discretely, in the f computer-aided design for products with helical surface, especially for those with abnormal helical surface.
Published Version
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call