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Kinematic modelling of a 3-axis NC machine tool in linear and circular interpolation

2009/08/20 by Xavier Pessoles, Yann Landon, Walter Rubio
Computer Science · Engineering · #Advanced Numerical Analysis Techniques #Advanced machining processes and optimization #Iterative Learning Control Systems #cs.OH

paper · pdf · doi:10.1007/s00170-009-2236-z

published as The International Journal of Advanced Manufacturing Technology 47, 5-8 (2010) 639-655

openalex publication_date 2009/08/20 · arxiv created 2010/04/14 · arxiv updated 2010/04/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29

Abstract

Machining time is a major performance criterion when it comes to high-speed machining. CAM software can help in estimating that time for a given strategy. But in practice, CAM-programmed feed rates are rarely achieved, especially where complex surface finishing is concerned. This means that machining time forecasts are often more than one step removed from reality. The reason behind this is that CAM routines do not take either the dynamic performances of the machines or their specific machining tolerances into account. The present article seeks to improve simulation of high-speed NC machine dynamic behaviour and machining time prediction, offering two models. The first contributes through enhanced simulation of three-axis paths in linear and circular interpolation, taking high-speed machine accelerations and jerks into account. The second model allows transition passages between blocks to be integrated in the simulation by adding in a polynomial transition path that caters for the true machining environment tolerances. Models are based on respect for path monitoring. Experimental validation shows the contribution of polynomial modelling of the transition passage due to the absence of a leap in acceleration. Simulation error on the machining time prediction remains below 1%.

Citations