Dynamic characteristics of an NC table with phase space reconstruction

Abstract

The dynamic properties of a numerical control (NC) table directly interfere with the accuracy and surface quality of work pieces machined by a computer numerical control (CNC) machine. Phase space reconstruction is an effective approach for researching dynamic behaviors of a system with measured time series. Based on the theory and method for phase space reconstruction, the correlation dimension, maximum Lyapunov exponent, and dynamic time series measured from the NC table were analyzed. The characteristic quantities such as the power spectrum, phase trajectories, correlation dimension, and maximum Lyapunov exponent are extracted from the measured time series. The chaotic characteristic of the dynamic properties of the NC table is revealed via various approaches. Therefore, an NC table is a nonlinear dynamic system. This research establishes a basis for dynamic system discrimination of a CNC machine.

Key words： NC table; chaotic characteristic; phase-space reconstruction; correlation dimension; maximum Lyapunov exponent

Acknowledgements

This study was supported by the National Basic Research Program of China (2005CB724101): Foundation Research of Digital Manufacturing.

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