Journal
FINITE ELEMENTS IN ANALYSIS AND DESIGN
Volume 41, Issue 13, Pages 1270-1288Publisher
ELSEVIER
DOI: 10.1016/j.finel.2005.02.003
Keywords
drillstring; vibration analysis; finite element; modal transformations
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Field experience manifests that drillstring vibration is one of the major causes for a deteriorated drilling performance. It is crucial to understand the complex vibrational mechanisms experienced by a drilling system in order to better control its functional operation and improve its performance. A dynamic model of the drillstring including both drillpipe and drillcollars is formulated. The equation of motion of the rotating drillstring is derived using Lagrangian approach together with the finite-element method. The drillstring components with circular cross-section are discretized into a number of finite shaft elements with 12 degrees of freedom each. The model accounts for the gyroscopic effect, the torsional/bending inertia coupling, and the effect of the gravitational force field. Explicit expressions of the finite element inertia coupling and axial stiffening matrices are derived using a consistent mass formulation. Modal transformations are invoked to obtain a reduced order modal form of the dynamic equations. The developed model is integrated into a computational scheme to calculate the modal characteristics and to perform time-response analysis of the drillstring system. (c) 2005 Elsevier B.V. All rights reserved.
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