Nonlinear vibration analysis of an axially moving drillstring system with time dependent axial load and axial velocity in inclined well

Sahebkar, S.M.; Ghazavi, Mohammad Reza; Khadem, S.E.; Ghayesh, Mergen H.

doi:10.1016/j.mechmachtheory.2010.12.003

Cited by 68 publications

(21 citation statements)

References 35 publications

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“…With the widespread implementation of extended reach wells in offshore and onshore oilfields, the dynamic characteristics of drillstrings in the horizontal and inclined wells also attract attention of the researchers. Considering the drillstring in an inclined well as a simply supported axially moving rotor, Sahebkar et al (2011) derived the kinetic equation of the string by means of Hamilton's principle. Zhu and Di (2011) and Zhu et al (2012) studied the effect of pre-bent deflection on lateral vibration of drill collars in horizontal and inclined wells respectively.…”

Section: Introductionmentioning

confidence: 99%

Dynamic stability of a stepped drillstring conveying drilling fluid

Zhao

Tang

Zheng

et al. 2017

jtam

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Taking into account differences between a drill pipe (DP) and a drill collar (DC), the drillstring in a vertical well is modeled as a stepped pipe conveying a drilling fluid downwards to the bottom inside the string and then upwards to the ground from the annulus. An analytical model that describes lateral vibration of the drillstring and involves the drillstring gravity, weight on bit (WOB), hydrodynamic force and damping force of the drilling fluid is established. By analysis of complex frequencies, the influences of WOB, borehole diameter, DP length, velocity and density of the drilling fluid on the stability of the system are discussed.

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Section: Introductionmentioning

confidence: 99%

Dynamic stability of a stepped drillstring conveying drilling fluid

Zhao

Tang

Zheng

et al. 2017

jtam

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“…Although the nonlinear transverse vibrations of axially moving beams and strings have been extensively investigated in the literature (Marynowski andKapitaniak, 2002, 2007;Marynowski, 2004;Sze et al, 2005;Ghayesh, 2009Ghayesh, , 2011aGhayesh, ,b, 2012aGhayesh and Khadem, 2007;Ding et al, 2011;Huang et al, 2011;Sahebkar et al, 2011;Amabili, 2012, 2013;Ghayesh et al, 2012c;Kazemirad et al, 2012), the number of studies regarding the nonlinear coupled transverse and longitudinal vibrations of such systems is rather limited (Thurman and Mote Jr, 1969;Riedel and Tan, 2002;Ding and Chen, 2010;Ghayesh, 2012c;Ghayesh et al, 2012a,d). In these problems, the two coupled partial differential equations of motion are solved together.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear stability and bifurcations of an axially moving beam in thermal environment

Ghayesh

Amabili

2014

Journal of Vibration and Control

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The thermo-mechanical nonlinear dynamics of an axially moving beam with coupled longitudinal and transverse displacements subjected to a distributed harmonic external force is numerically investigated. This includes a case where the system is tuned to a three-to-one internal resonance between the first two transverse modes and a case where it is not is considered. Two coupled nonlinear partial differential equations for the longitudinal and transverse motions are obtained using Hamilton's principle and constitutive relations, as well as taking into account the thermal effects. The Galerkin method is then used to discretize these equations into a set of coupled nonlinear ordinary differential equations. Two different techniques are employed to solve the resulting equations; the pseudo-arclength continuation method and direct time integration to investigate the periodic vibrations and the global dynamics of the system, respectively. The effect of different parameters on the dynamics of the system is investigated through the frequency-response curves of the system and the bifurcation diagrams of Poincaré maps. Furthermore, time histories, phase-plane portraits, and fast Fourier transforms are presented for a few different system parameter sets. It is illustrated that the system shows a broad variety of rich dynamics, depending on system parameters and the temperature rise.

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“…Beam structures , Sahebkar et al 2011, Kural and Ö zkaya 2012, Movahedian 2012, Saffari et al 2012, Song et al 2012, Bayat et al 2013 are present in many engineering devices and machine components. Among them, robot arms, aerial cable tramways, textile fibers, automobile and aerospace structures, conveyor belts, magnetic tapes, and fluid-conveying pipes can be modeled as axially moving beams (Ravindra and Zhu 1988, Ding and Chen 2009, Chen et al 2012, Ghayesh et al 2013.…”

Section: Introductionmentioning

confidence: 99%

“…The dynamics of an axially accelerating beam or string has been investigated for many years by various authors (Pakdemirli et al 1994, Parkdemirli and Ulsoy 1997, Ö z and Pakdemirli 1999, Ö zkaya and Pakdemirli 2000, Pakdemirli 2008, Sahebkar et al 2011. Most of these studies (Pakdemirli et al 1994, Parkdemirli and Ulsoy 1997, Öz et al 1998, Ö z and Pakdemirli 1999, Özkaya and Pakdemirli 2000, Öz et al 2001, Ghayesh 2008, Sahebkar et al 2011 employed analytical techniques, mainly the method of multiple timescales so as to determine the single-mode approximation for the resonant response of the system. For example, Oz and Pakdemirli (1999) investigated the linear parametric vibrations and stability of an axially accelerating beam via the method of multiple timescales.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear stability and bifurcations of an axially accelerating beam with an intermediate spring-support

Ghayesh¹,

Amabili²

2013

Coupled systems mechanics, an international journal

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The present work aims at investigating the nonlinear dynamics, bifurcations, and stability of an axially accelerating beam with an intermediate spring-support. The problem of a parametrically excited system is addressed for the gyroscopic system. A geometric nonlinearity due to mid-plane stretching is considered and Hamilton's principle is employed to derive the nonlinear equation of motion. The equation is then reduced into a set of nonlinear ordinary differential equations with coupled terms via Galerkin's method. For the system in the sub-critical speed regime, the pseudo-arclength continuation technique is employed to plot the frequency-response curves. The results are presented for the system with and without a three-to-one internal resonance between the first two transverse modes. Also, the global dynamics of the system is investigated using direct time integration of the discretized equations. The mean axial speed and the amplitude of speed variations are varied as the bifurcation parameters and the bifurcation diagrams of Poincare maps are constructed.

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Nonlinear vibration analysis of an axially moving drillstring system with time dependent axial load and axial velocity in inclined well

Cited by 68 publications

References 35 publications

Dynamic stability of a stepped drillstring conveying drilling fluid

Dynamic stability of a stepped drillstring conveying drilling fluid

Nonlinear stability and bifurcations of an axially moving beam in thermal environment

Nonlinear stability and bifurcations of an axially accelerating beam with an intermediate spring-support

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