Influence of material removal models on the dynamics of cutting and grinding machines

Roger F. Gans

doi:10.1117/12.215592

2 August 1995 Influence of material removal models on the dynamics of cutting and grinding machines

Roger F. Gans

Proceedings Volume 2576, International Conference on Optical Fabrication and Testing; (1995) https://doi.org/10.1117/12.215592
Event: International Conferences on Optical Fabrication and Testing and Applications of Optical Holography, 1995, Tokyo, Japan

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).

Citation Download Citation

Roger F. Gans "Influence of material removal models on the dynamics of cutting and grinding machines", Proc. SPIE 2576, International Conference on Optical Fabrication and Testing, (2 August 1995); https://doi.org/10.1117/12.215592

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