Dynamic characteristics of an NC table with phase space reconstruction |
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Authors: | Linhong Wang Bo Wu Runsheng Du and Shuzi Yang |
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Affiliation: | (1) Department of Electromechanical Engineering, Nanyang Institute of Technology, Nanyang, 473004, China;(2) National Key Laboratory of Digital Manufacturing and Assembling Technology, Huazhong University of Science and Technology, Wuhan, 430074, China |
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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. |
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Keywords: | NC table chaotic characteristic phase-space reconstruction correlation dimension maximum Lyapunov exponent |
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