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Derivation of machine tool error models and error compensation procedure for three axes vertical machining center using rigid body kinematics
Journal article   Peer reviewed

Derivation of machine tool error models and error compensation procedure for three axes vertical machining center using rigid body kinematics

A Okafor and Yalcin Ertekin
International journal of machine tools & manufacture, v 40(8), pp 1199-1213
01 Jun 2000

Abstract

Approximation theory Computer control systems Error analysis Error compensation Interfaces (materials) Kinematics Mathematical models Numerical control systems Vectors
Volumetric positional accuracy constitutes a large portion of the total machine tool error during machining. In order to improve machine tool accuracy cost-effectively, machine tool geometric errors as well as thermally induced errors have to be characterized and predicted for error compensation. This paper presents the development of kinematic error models accounting for geometric and thermal errors in the Vertical Machining Center (VMC). The machine tool investigated is a Cincinnati Milacron Sabre 750 3 axes CNC Vertical Machining Center with open architecture controller. Using Rigid Body Kinematics and small angle approximation of the errors, each slide of the three axes vertical machining center is modeled using homogeneous coordinate transformation. By synthesizing the machine's parametric errors such as linear positioning errors, roll, pitch and yaw etc., an expression for the volumetric errors in the multi-axis machine tool is developed. The developed mathematical model is used to calculate and predict the resultant error vector at the tool-workpiece interface for error compensation.

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Web of Science research areas
Engineering, Manufacturing
Engineering, Mechanical
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