Controlling multistability in a vibro-impact capsule system

Liu, Yang; Chávez, Joseph Páez

doi:10.1007/s11071-016-3310-3

Cited by 46 publications

(26 citation statements)

References 45 publications

(64 reference statements)

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“…2. For this purpose, we employed path-following (continuation) techniques for non-smooth systems implemented via the continuation platform COCO [25,26] (see also [32][33][34] for some recent applications of these techniques). This allowed studying the complex bifurcation scenario of the considered drill-string model, when considering the weight on bit (WOB) as the bifurcation parameter.…”

Section: Discussionmentioning

confidence: 99%

Numerical and experimental studies of stick–slip oscillations in drill-strings

Liu

Chávez

et al. 2017

Nonlinear Dyn

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The cyclic nature of the stick-slip phenomenon may cause catastrophic failures in drillstrings or at the very least could lead to the wear of expensive equipment. Therefore, it is important to study the drilling parameters which can lead to stickslip, in order to develop appropriate control methods for suppression. This paper studies the stick-slip oscillations encountered in drill-strings from both numerical and experimental points of view. The numerical part is carried out based on path-following methods for nonsmooth dynamical systems, with a special focus on the multistability in drill-strings. Our analysis shows that, under a certain parameter window, the multistability can be used to steer the response of the drill-strings from a sticking equilibrium or stick-slip oscillation to an equilibrium with constant drill-bit rotation. In addition, a small-scale downhole drilling rig was implemented to conduct a parametric study of the stick-slip phenomenon. The parametric study involves the use of two flexible shafts with varying mechanical properties to observe the effects that would have on stick-slip during operation. Our experimental results demonstrate that varying some of the mechanical properties of the drill-string could in fact control the nature of stick-slip oscillations.

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Section: Discussionmentioning

confidence: 99%

Numerical and experimental studies of stick–slip oscillations in drill-strings

Liu

Chávez

et al. 2017

Nonlinear Dyn

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“…For example, let y τ 1 , y τ 2 , y τ 3 = [1, 3,4]; it can be defined as order pattern π 1 ; while if y τ 1 , y τ 2 , y τ 3 = [1, 4,3], it belongs to another kind of pattern, which can be classified as π 2 . Secondly, suppose that we have three short time series, namely y τ 1 = 1, 2, 3, 4, 5 , y τ 2 = 3, 3, 1, 5, 4 and y τ 3 = 5, 1, 4, 3, 2 ; the conducted pattern series {Ψ τ (k) = π 1 , π 5 , π 3 , π 5 , π 6 }, and the quantification pattern series is {Φ τ (k) = 1, 5, 3, 5, 6}.…”

Section: Data Processing and Quantificationmentioning

confidence: 99%

“…Since the behaviors of dynamic systems with coexisting attractors depend on the initial conditions, multistable systems have been extensively studied [1][2][3][4][5]. Multistability in circuit implementation [6], synchronization [7], image encryption [8] and neural networks [9] have also aroused much interest.…”

Section: Introductionmentioning

confidence: 99%

Multivariate Multiscale Complexity Analysis of Self-Reproducing Chaotic Systems

Sun

et al. 2018

Entropy

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Designing a chaotic system with infinitely many attractors is a hot topic. In this paper, multiscale multivariate permutation entropy (MMPE) and multiscale multivariate Lempel–Ziv complexity (MMLZC) are employed to analyze the complexity of those self-reproducing chaotic systems with one-directional and two-directional infinitely many chaotic attractors. The analysis results show that complexity of this class of chaotic systems is determined by the initial conditions. Meanwhile, the values of MMPE are independent of the scale factor, which is different from the algorithm of MMLZC. The analysis proposed here is helpful as a reference for the application of the self-reproducing systems.

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“…The dynamics of the vibro-impact capsule system, which consists of a capsule main body interacting with a harmonically driven internal mass, has been studied extensively by Liu et al [5][6][7][8][9][10][11]. In [5], the model of the vibro-impact capsule system was firstly studied to provide a fundamental understanding of its dynamics.…”

Section: Introductionmentioning

confidence: 99%

Optimization of the Vibro-Impact Capsule System for Promoting Progression Speed

2018

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Abstract. This paper studies the dynamics of vibro-impact capsule systems with one-sided and double-sided constraints under variations of control parameters, including frequency of excitation, mass ratio, and stiffness ratio. The aim of this study is to optimize the progression speed of the capsule system. Extensive comparisons reveal that the capsule system with one-sided constraint is better than the one with double-sided constraints in terms of progression speed. Moreover, the system's period-one one-right-impact motion is proved as the ideal vibration condition due to its lowest energy consumption for impacts. According to the dynamic analyses of control parameters, an inner mass with its weight similar as the weight of capsule and a right constraint with a relative weak stiffness are beneficial for further accelerating the capsule system forwards.

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Controlling multistability in a vibro-impact capsule system

Cited by 46 publications

References 45 publications

Numerical and experimental studies of stick–slip oscillations in drill-strings

Numerical and experimental studies of stick–slip oscillations in drill-strings

Multivariate Multiscale Complexity Analysis of Self-Reproducing Chaotic Systems

Optimization of the Vibro-Impact Capsule System for Promoting Progression Speed

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