טכניון מכון טכנולוגי לישראל
הטכניון מכון טכנולוגי לישראל - בית הספר ללימודי מוסמכים  
M.Sc Thesis
M.Sc StudentPodshivalov Lev
SubjectModelling of Envelope Generated by Motion of 3D Volumetric
NC Tool
DepartmentDepartment of Mechanical Engineering
Supervisor Professor Anath Fischer


Abstract

NC simulation and verification require efficient identification and visualization of the swept volume generated by the arbitrary motion of freeform NC tools along complex 3D paths on a freeform surface. Although the methods investigated to date seemed to be efficient, they were faced with problems of visualization because of the limited computational power available at that time. Until recently, the problem of computing a swept volume was though to be hindered by seemingly complex mathematics and the self-intersection of the generated volume.

In this work we suggest solving the sweeping problem using the Sweep-Envelope Differential Equation (SEDE). We applied the SEDE algorithm on a ball-end cutter that was swept along a non-intersecting and the self-intersecting cutter paths. This method has advantages over other existing methods in terms of efficiency and coping with the self-intersection problem. This method calculates the swept volume boundaries using the trajectories of the sweep-envelope differential equation, which starts at the initial grazing points of the moving object. Thus, the complexity can be reduced to. Another advantage of the algorithm is that it calculates the self-intersections.

Future possible implementation of the SEDE method into the existing CAD software, such as Vericut®, Catia® and Pro/Engineer®, will lead to better simulation and optimization processes of NC manufacturing applications.