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 Maeng | 1 | 9 | 0.72 |
nakhoon baek | 2 | 71 | 24.68 |
Sung Yong Shin | 3 | 1904 | 168.33 |
Byoung Kyu Choi | 4 | 58 | 11.50 |