The Construction of Dimensionless Nonlinear Dynamic Model and the Research on Chaotic Features of Vibration Cutting Based on Dynamic Fracture Mechanics

Peng Li; Li Zhi Gu

doi:10.4028/www.scientific.net/KEM.667.595

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The Construction of Dimensionless Nonlinear Dynamic Model and the Research on Chaotic Features of Vibration Cutting Based on Dynamic Fracture Mechanics
p.595

HomeKey Engineering MaterialsKey Engineering Materials Vol. 667The Construction of Dimensionless Nonlinear...

The Construction of Dimensionless Nonlinear Dynamic Model and the Research on Chaotic Features of Vibration Cutting Based on Dynamic Fracture Mechanics

Abstract:

In this paper, the author constructs a dimensionless nonlinear dynamic model of Vibration cutting system described by nonlinear differential equations. The model is established on the relationship between cutting force and cutting speed and the relationship of cutting depth to the cutting resistance and the time. It is the nonlinear dynamic friction model of vibration cutting considering tool-chip friction. Based on the model and the method of chaotic identification, Lyapunov Exponent, the further research on the vibration cutting produce behavior and its classification are conducted.