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

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TLDR
In this article, a nonlinear model was developed for a drillstring system in deviated well with axially moving motion and axial loading, using the perturbation techniques.
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This article is published in Mechanism and Machine Theory.The article was published on 2011-05-01. It has received 71 citations till now. The article focuses on the topics: Nonlinear system & Moving load.

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Citations
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Journal ArticleDOI

A review of drillstring vibration modeling and suppression methods

TL;DR: A broad survey of the drillstring vibration modeling literature can be found in this paper, where the state-of-the-art models for predicting axial, torsional and bending vibrations (uncoupled and coupled), boundary condition assumptions, equation formulation methods, and applications to vibration mitigation are reviewed.
Journal ArticleDOI

Sub- and super-critical nonlinear dynamics of a harmonically excited axially moving beam

TL;DR: In this article, the sub and supercritical dynamics of an axially moving beam subjected to a transverse harmonic excitation force are examined for the cases where the system is tuned to a three-to-one internal resonance as well as for the case where it is not.
Journal ArticleDOI

Stability and bifurcations of an axially moving beam with an intermediate spring support

TL;DR: In this article, the forced non-linear vibrations of an axially moving beam fitted with an intra-span spring-support are investigated numerically, and the resulting nonlinear ordinary differential equations are solved via either the pseudo-arclength continuation technique or direct time integration.
Journal ArticleDOI

Nonlinear forced dynamics of an axially moving viscoelastic beam with an internal resonance

TL;DR: In this article, the authors investigated the forced dynamics of an axially moving viscoelastic beam and derived the governing equation of motion via Newton's second law of motion and constitutive relations.
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Nonlinear vibrations and stability of an axially moving beam with an intermediate spring support: two-dimensional analysis

TL;DR: In this article, the nonlinear coupled longitudinal transverse vibrations and stability of an axially moving beam, subjected to a distributed harmonic external force, which is supported by an intermediate spring, are investigated.
References
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Book

Variational Methods in Elasticity and Plasticity

TL;DR: In this article, the Statique Reference Record was created on 2004-09-07, modified on 2016-08-08, and was used for Elasticite and Plasticite.
Book

Analytical Methods in Vibrations

TL;DR: In this paper, a book on analytical methods in vibrations covering general mathematical formulations of common features of various vibrating systems is presented, including a mathematical formulation of a vibrational model.
Book

Non-linear oscillations

TL;DR: In this paper, a mathematical pendulum is used as an illustration of linear and non-linear oscillations - systems which are similar to a simple linear oscillator: Undamped free oscillations of the pendulum damped Free oscillations forced oscillations.
Journal ArticleDOI

Classical Vibration Analysis of Axially Moving Continua

TL;DR: In this article, the equations of motion are cast in a canonical state space form defined by one symmetric and one skew-symmetric differential operator, and the eigenfunctions are orthogonal with respect to each operator.
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