Paper Info
Title
A Fast NC Simulation Method for Circularly Moving Tools in the Z-Map Environment
Abstract
In numerically controlled(NC) machining simulation,the Z-map is frequently used to represent the workpiece.Since the Z-map is usually represented by a set ofz-axis aligned vectors, the machining process can be simulatedthrough updating it with the intersection points betweenthe vectors and the tool swept surface. In our previouswork[A fast Z-map update method for linearly moving tools], we achieved a fast Z-map update method for linearly moving tools. On the other hand, typical NC simulationcodes contain lots of circular tool movements especiallyfor the free-form surface machining. This paper representshow to directly calculate the intersection points forthe circularly moving tools. For fast computation, we expresseach of intersection points with a single-variablenon-linear function and calculate the candidate intervalin which the unique intersection point exists. Then, weprove the existence of a solution and its uniqueness in thiscandidate interval. Based on these properties, we can effectivelyapply numerical methods to finally calculate thesolution of the non-linear function within a given precision.Due to space limitations, we focus on the filleted-endmills, the most general case of the APT(automatically programmedtool) tools. Since other tools such as ball-endmills and flat-end mills can be regarded as the specialcases of the filleted-end mills, our result can beapplied to the circular motions of any APT tools. Combiningit to our previous result on the linear motion, we cancover most of NC simulation codes. Finally, our implementationand its result show that the new numerical approachis more efficient and reliable, in comparison to the previous methods.
Year
DOI
Venue
2004
10.1109/GMAP.2004.1290053
GMP
Keywords
Field
DocType
fast nc simulation method,free-form surface machining,intersection points betweenthe vector,nc simulation code,z-map environment,fast computation,unique intersection point,previous result,machining simulation,intersection point,machining process,fast z-map update method,computational modeling,numerical method,vectors,visualization,circular motion,machining,numerical simulation,computer aided manufacturing,dies,numerical methods,network address translation,solid modeling,ball milling,engineering graphics
Topology,Linear motion,Nonlinear system,Computer simulation,Computer science,Machining,Circular motion,Solid modeling,Numerical analysis,Computation
Conference
ISBN
Citations 
PageRank 
0-7695-2078-2
5
0.46
References 
Authors
11
4
Name
Order
Citations
PageRank
Sung Yong Shin11904168.33
nakhoon baek27124.68
sungyong shin360.81
Byoung K. Choi419020.30