A New CAD Method for Creating Disc Tools Machining Complex Helical Surfaces, Avoiding Undercut and Second Envelope
1
School of Mechanical Engineering, Hanoi University of Science and Technology, Viet Nam
Submission date: 2026-04-20
Final revision date: 2026-06-07
Acceptance date: 2026-06-15
Online publication date: 2026-09-26
Corresponding author
KEYWORDS
TOPICS
ABSTRACT
This paper presents a detailed new CAD method for automatically determining the contact line between the machined helical surface and its disc tool, thereby creating the disc tool's primary surface. This method solves the kinematic meshing equations for the helical surface and the disc tool in cross-sections perpendicular to the disc tool axis. The method is implemented by developing a Visual Lisp program running in AutoCAD, leveraging powerful geometric functions to create cross-sections, interpolate spline curves, and easily and accurately determine the curve's normal vector, without requiring knowledge of the surface equation parameters. Verification results in the cases of the disc tools used to machine the air compressor female rotor and involute spur gear confirm the main advantages of the method, such as: The surface deviation between the disc tool created by the proposed method and the method using the normal projection in CATIA is less than 0.005 mm, and in particular, it is possible to detect and fix undercutting and double enveloping phenomena automatically.
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| eISSN: | 2391-8071 |
| ISSN: | 1895-7595 |
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