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Vibration analysis of the fully coupled nonlinear finite element model of composite drill strings

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Abstract

In recent years to overcome many limitations of drilling operations, composite drill strings as high-tech rotors with complex dynamic behavior are under development. In this research, the fully coupled nonlinear vibration of composite drill strings, which consist of orthotropic layers, is investigated using the Lagrangian approach and the finite element method. In addition to the main nonlinear terms and particularly the geometric stiffening effect, which resulted from the interaction of the drill string weight and the axial bit force, the gyroscopic effect has also been taken into account. The analysis ability of the dynamic model, which is intended to furnish a basic model for the further development of a more comprehensive model, is examined. The fully coupled nonlinear vibrations and modal analysis of the composite drill strings due to various fiber orientations and stacking sequences in the different drilling conditions are studied, and are compared with the steel drill string.

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Authors and Affiliations

  1. Faculty of Mechanical Engineering, Shahid Rajaee Teacher Training University, Tehran, Iran

    Maziar Mohammadzadeh, Majid Shahgholi & Mohammadreza Arbabtafti

  2. Faculty of Engineering and Applied Science, Memorial University of Newfoundland, St. John’s, NL, Canada

    Jianming Yang

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  1. Maziar Mohammadzadeh
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  2. Majid Shahgholi
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  3. Mohammadreza Arbabtafti
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  4. Jianming Yang
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Correspondence to Majid Shahgholi.

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Appendix, Data used in the simulation

Appendix, Data used in the simulation

  • Length of the drill string \(=\) 1600 m,

  • Length of the drill pipes \(=\) 1400 m,

  • Length of the drill collars \(=\) 200 m,

  • Outside diameter of the drill pipe \(=\) 0.1524 m,

  • Outside diameter of the drill collar \(=\) 0.2743 m,

  • Inside diameter of the drill pipe \(=\) 0.127 m,

  • Inside diameter of the drill collar \(=\) 0.1062 m,

  • Density of the composite drill string \(=\) 3930 kg/m\(^{\mathrm{3}}\),

  • E\(_{\mathrm{1}}=\)141.343 Gpa (Young’s modulus in the 1-direction),

  • E\(_{\mathrm{2}}=\) 9.563 Gpa (Young’s modulus in the 2-direction),

  • E\(_{\mathrm{3}}=\) 9.563 Gpa (Young’s modulus in the 3-direction),

  • G\(_{\mathrm{12}}=\) 4.55 Gpa (Shear modulus in the 1–2 plane),

  • G\(_{\mathrm{13}}=\) 4.55 Gpa (Shear modulus in the 1–3 plane),

  • G\(_{\mathrm{23}}=\) 2.85 Gpa (Shear modulus in the 2–3 plane),

  • \({\upnu }_{\mathrm{12}}=0\).28 (Poisson’s ratio),

  • \({\upnu }_{\mathrm{13}}=0\).28 (Poisson’s ratio),

  • \({\upnu }_{\mathrm{23}}=0\).517 (Poisson’s ratio),

  • Impulsive force \(=\) 1e5 N, at \(t = 1{\text {e}}-5\) s,

  • Impulsive torque \(=\) 1e6 N m, at \(t = 1{\text {e}}-5\) s,

  • \(\partial \varPhi /\partial t=6\) Rad/s (Constant angular velocity of the drill string).

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Mohammadzadeh, M., Shahgholi, M., Arbabtafti, M. et al. Vibration analysis of the fully coupled nonlinear finite element model of composite drill strings. Arch Appl Mech 90, 1373–1398 (2020). https://doi.org/10.1007/s00419-020-01673-8

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  • DOI: https://doi.org/10.1007/s00419-020-01673-8

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