Real time inverse kinematics of a general 5-axis CNC machine

In most of the previous investigations, the kinematics model of five-axis computer-numerical control (CNC) centers was formulated just at the position level, and the differential kinematic relationships (velocity, acceleration and jerk of the five joints of a five-axis center) that are necessary for several purposes, especially for investigating the relationship between the limits of a machine’s drives and the feed rate maximization (the productivity maximization), have been overlooked. Therefore, this paper addresses the differential kinematic modelling and analysis for the five-axis CNC centers. In particular, the differential kinematic equations are formulated in a parametric domain so that they are useful for investigating the kinematic behaviors of the five-axis centers in real time

A generalization approach for the kinematic modelling of the rotational axes of five-axis CNC centers

In practice, the inverse kinematic modelling and analysis of a five-axis CNC center is of importance when transferring and postprocessing a cutter location (CL) data file for machining part surfaces of complex geometry. Decades ago, though there has been a number of investigations focusing on the kinematic modelling and postprocessor development for five-axis CNC centers, a little attention has been paid to the generalization of the inverse kinematic modelling for the rotational axes of five-axis CNC centers. In this paper, a new and general analytical approach for deriving effectively the inverse kinematic equation of two rotational axes of any five-axis CNC center is proposed. It has shown that the proposed technique is very useful for the postprocessor development of any five-axis CNC center