Natural Frequencies and Mode Shapes of Statically Deformed Inclined Risers | Zendy

Feras K. Alfosail | Zendy; Ali H. Nayfeh | Zendy; Mohammad I. Younis | Zendy

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Natural Frequencies and Mode Shapes of Statically Deformed Inclined Risers

Author(s) -

Feras K. Alfosail,

Ali H. Nayfeh,

Mohammad I. Younis

Publication year - 2016

Publication title -

king abdullah university of science and technology repository (king abdullah university of science and technology)

Language(s) - English

Resource type - Conference proceedings

DOI - 10.1115/imece2016-66009

Subject(s) - galerkin method , vibration , axial symmetry , nonlinear system , drilling riser , boundary value problem , deflection (physics) , natural frequency , mechanics , beam (structure) , eigenvalues and eigenvectors , structural engineering , normal mode , materials science , physics , classical mechanics , mathematics , mathematical analysis , engineering , acoustics , drilling , quantum mechanics , metallurgy

In this work, we investigate numerically the linear vibrations of inclined risers using the Galerkin approach. The riser is modeled as an Euler-Bernoulli beam accounting for the nonlinear mid-plane stretching and self-weight. After solving for the initial deflection of the riser due to self-weight, a Galerkin expansion of fifteen axially loaded beam mode shapes are used to solve the eigenvalue problem of the riser around the static equilibrium configuration. This yields the riser natural frequencies and exact mode shapes for various values of inclination angles and applied tension. The obtained results are validated against a boundary-layer analytical solution and are found in good agreement. This constructs a basis to study the nonlinear forced vibrations of inclined risers.Copyright © 2016 by ASME

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