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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. Non-holonomity 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 using C-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.
"Acta Mechanica Sinica" – Springer Journals
Published: Jun 1, 2010
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