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Bifurcations and the penetrating rate analysis of a model for percussive drilling

Abstract:

In this paper, we investigate a low dimensional model of percussive drilling with vibro-impact to mimic the nonlinear dynamics of the bounded progression. Nonholonomity which arises in the stick-slip caused by the impact during drilling fails to be correctly identified via the classical techniques. A reduced model without non-holonomity is derived by the introduction of a new state variable, of which averaging technique is employed successfully to detect the periodic motions. Local bifurcations are presented directly by usingC-L method. Numerical simulations and the penetrating rate analysis along different choices of parameters have been carried out to probe the nonlinear behaviour and the optimal penetrating rate of the drilling system. © 2010 The Chinese Society of Theoretical and Applied Mechanics and Springer-Verlag GmbH.