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Proceedings Paper

Influence of material removal models on the dynamics of cutting and grinding machines
Author(s): Roger F. Gans
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Paper Abstract

This paper discusses various simple models for nonlinear coupling of two standard second- order oscillators. The coupling is based on the idea of the van der Pol equation: small- amplitude disturbances grown and large disturbances decay. This paper examines the effects of discontinuity of coupling, and of the nature and closeness of coupling. the nature of nonlinear coupling is more important in determining the qualitative nature of the dynamics of these systems than the presence or absence of discontinuities. I observe coupled oscillator behavior with either or both oscillators active. In cases where both oscillators are active I find limit cycles and probable strange attractors (chaotic motion).

Paper Details

Date Published: 2 August 1995
PDF: 12 pages
Proc. SPIE 2576, International Conference on Optical Fabrication and Testing, (2 August 1995); doi: 10.1117/12.215592
Show Author Affiliations
Roger F. Gans, Univ. of Rochester (United States)

Published in SPIE Proceedings Vol. 2576:
International Conference on Optical Fabrication and Testing
Toshio Kasai, Editor(s)

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