A Z-map update method for linearly moving tools
作者： Seung Ryol Maeng , Nakhoon Baek , Sung Yong Shin , Byoung Kyu Choi
DOI: 10.1016/S0010-4485(02)00161-6
关键词: Numerical analysis 、 Machining 、 Process (computing) 、 Surface (mathematics) 、 Computer science 、 System of linear equations 、 Uniqueness 、 Intersection (Euclidean geometry) 、 Interval (mathematics) 、 Algorithm
摘要: In numerically controlled (NC) machining simulation, a Z-map has been frequently used for representing the workpiece. Since is usually represented by set of z-axis aligned vectors, process can be simulated through calculating intersection points between vectors and surface swept tool. this paper, we present an efficient method to calculate those when automatically programmed tool-type tools move along linear tool path. Each expressed as solution system non-linear equations. We transform equations into single-variable equation, candidate interval in which unique exists. prove existence its uniqueness interval. Based on these properties, effectively apply numerical methods finally within given precision. The whole NC simulation achieved updating properly. Our improve accuracy greatly while increasing processing time negligibly comparison with previous update methods, making it possible verify path more accurately reliably.
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