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

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. 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png "Acta Mechanica Sinica" Springer Journals

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

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References (31)

Publisher
Springer Journals
Copyright
2010 The Chinese Society of Theoretical and Applied Mechanics and Springer-Verlag GmbH
ISSN
0567-7718
eISSN
1614-3116
DOI
10.1007/s10409-010-0346-3
Publisher site
See Article on Publisher Site

Abstract

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.

Journal

"Acta Mechanica Sinica"Springer Journals

Published: Jun 1, 2010

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