Periodic solution finder for an impact oscillator with a drift

Pavlovskaia, Ekaterina; Wiercigroch, Marian

doi:10.1016/s0022-460x(03)00193-7

Cited by 34 publications

(19 citation statements)

References 19 publications

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“…As it has been shown earlier [29][30][31], the periodic regimes are most beneficial from the practical point of view of achieving the best progression rates. It should be noted that since the system considered is piecewise linear, its dynamic response can be constructed by stitching linear solutions at points of discontinuities.…”

Section: Dynamics Of a Large Systemmentioning

confidence: 92%

Modelling of high frequency vibro-impact drilling

Pavlovskaia

Hendry

Wiercigroch

2015

International Journal of Mechanical Sciences

105

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Modelling of the vibro-impact drilling system is undertaken in this study, and the results of the numerical analysis and comparison between two selected models are presented. The first one is a newly developed model of an existing experimental rig (three masses model) and the second one is a simplified low dimensional model (Pavlovskaia et al., 2001 [22]) created to describe the dynamic interaction between the drill-bit and the drilled formation. The optimal loading parameters are identified in this work based on the analysis of the system responses, and the influence of the additional degrees-offreedom on the loading optimisation strategy is investigated. Three main control parameters are considered, and they are the applied static force, and the amplitude and the frequency of the applied dynamic force.Our investigations confirm that the best progression rates are achieved when the system response is periodic and the frequency of the response is the same as the frequency of the applied dynamic force, and the value of the static force is smaller than the amplitude of the applied dynamic excitation. This result is valid for both models considered. Also in both cases, zero progression rates are obtained for lower values of the excitation amplitudes and the average progression increases with the increase in the dynamic amplitudes. Both models also predict zero progression rates at the higher excitation frequencies.Based on the analysis undertaken, it can be concluded that the low dimensional model provides good estimates of the optimal static force and the amplitude of the dynamic force, and it could be used for the operational control of the drilling system to adjust the loading parameters while drilling through different formations. The choice of the optimal frequency, however, should be made based on the predictions of the more detailed model of the drilling system as additional degrees of freedom significantly influence the structure of the internal resonances and they should be taken into account.

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Section: Dynamics Of a Large Systemmentioning

confidence: 92%

Modelling of high frequency vibro-impact drilling

Pavlovskaia

Hendry

Wiercigroch

2015

International Journal of Mechanical Sciences

105

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“…The main result from that work was a finding that the best progression occurs when the system responds periodically. A more realistic model including viscoelastic properties of the ground and its optimal periodic regimes were studied in Pavlovskaia et al (2001Pavlovskaia et al ( , 2003aPavlovskaia et al ( , 2003bPavlovskaia et al ( , 2004.…”

Section: Vibro-impact Systemsmentioning

confidence: 99%

“…The methodology will be illustrated and examined through three case studies. Firstly periodic responses of a drifting vibro-impact system with drift will be investigated through a novel semi-analytical method, developed by Pavlovskaia and Wiercigroch (2003a), which allows to determine the favourable operating conditions. The model accounts for visco-elastic impacts and is capable to mimic dynamics of a bounded progressive motion (a drift).…”

Section: Introductionmentioning

confidence: 99%

Applied nonlinear dynamics of non-smooth mechanical systems

Wiercigroch¹

2006

J. Braz. Soc. Mech. Sci. & Eng.

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“…[22,23] and the impact oscillator with one-side drifting impact body e.g. [24,25,26]. However this paper studies the control of a vibro-impact system with impact body drifting forward and backward which has never been considered in the literature before.…”

Section: Introductionmentioning

confidence: 99%

Forward and backward motion control of a vibro-impact capsule system

Liu

Pavlovskaia

Wiercigroch

et al. 2015

International Journal of Non-Linear Mechanics

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A capsule system driven by a harmonic force applied to its inner mass is considered in this study. Four various friction models are employed to describe motion of the capsule in different environments taking into account Coulomb friction, viscous damping, Stribeck effect, pre-sliding, and frictional memory. The non-linear dynamics analysis has been conducted to identify the optimal amplitude and frequency of the applied force in order to achieve the motion in the required direction and to maximize its speed. In addition, a position feedback control method suitable for dealing with chaos control and coexisting attractors is applied for enhancing the desirable forward and backward capsule motion.The evolution of basins of attraction under control gain variation is presented and it isshown that the basin of the desired attractors could be significantly enlarged by slight adjustment of the control gain improving the probability of reaching such an attractor.

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Periodic solution finder for an impact oscillator with a drift

Abstract: To cite this version:Ekaterina Pavlovskaia, Marian Wiercigroch. Periodic solution finder for an impact oscillator with a drift.

Cited by 34 publications

References 19 publications

Modelling of high frequency vibro-impact drilling

Modelling of high frequency vibro-impact drilling

Applied nonlinear dynamics of non-smooth mechanical systems

Forward and backward motion control of a vibro-impact capsule system

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