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Bifurcations and the penetrating rate analysis of a model for percussive drilling
Authors:Qing-Jie Cao  Marian Wiercigroch  Ekaterina Pavlovskaia  Shao-Pu Yang
Institution:Qing-Jie Cao School of Astronautics,Haerbin Institute of Technology,Haerbin 150001,China Centre for Nonlinear Dynamics Research,Shijiazhuang Railway Institute,Shijiazhuang 050043,China Marian Wiercigroch Department of Engineering,Centre for Applied Dynamics Research,King's College,University of Aberdeen,Aberdeen AB24 3UE,Scotland,UK Ekaterina Pavlovskaia Department of Engineering,UK Shao-Pu Yang Centr...
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 di...
Keywords:Bifurcation  Chaos  Non-holonomity  Percussive drilling  
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