Title
A Z-map update method for linearly moving tools
Abstract
In numerically controlled (NC) machining simulation, a Z-map has been frequently used for representing the workpiece. Since the Z-map is usually represented by a set of z-axis aligned vectors, the machining process can be simulated through calculating the intersection points between the vectors and the surface swept by a machining tool. In this paper, we present an efficient method to calculate those intersection points when automatically programmed tool-type tools move along a linear tool path. Each of the intersection points can be expressed as the solution of a system of non-linear equations. We transform this system of equations into a single-variable equation, and calculate the candidate interval in which the unique solution exists. We prove the existence of a solution and its uniqueness in this candidate interval. Based on these properties, we can effectively apply numerical methods to finally calculate the solution of the non-linear equations within a given precision. The whole process of NC simulation is achieved by updating the Z-map properly. Our method can improve accuracy greatly while increasing processing time negligibly in comparison with previous Z-map update methods, making it possible to verify the tool path more accurately and reliably.
Year
DOI
Venue
2003
10.1016/S0010-4485(02)00161-6
Computer-Aided Design
Keywords
Field
DocType
Numerically controlled machining,Z-map,Swept surface
Uniqueness,System of linear equations,Computer science,Machining process,Algorithm,Machining,Numerical analysis
Journal
Volume
Issue
ISSN
35
11
0010-4485
Citations 
PageRank 
References 
9
0.72
7
Authors
4
Name
Order
Citations
PageRank
Seung Ryol Maeng190.72
nakhoon baek27124.68
Sung Yong Shin31904168.33
Byoung Kyu Choi45811.50