Natural Frequencies and Mode Shapes of Statically Deformed Inclined Risers
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AbstractWe 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, we use a Galerkin expansion employing 15 axially loaded beam mode shapes to solve the eigenvalue problem of the riser around the static equilibrium configuration. This yields the riser natural frequencies and corresponding exact mode shapes for various values of inclination angles and tension. The obtained results are validated against a boundary-layer analytical solution and are found to be in good agreement. This constitutes a basis to study the nonlinear forced vibrations of inclined risers.
CitationAlfosail FK, Nayfeh AH, Younis MI (2016) Natural Frequencies and Mode Shapes of Statically Deformed Inclined Risers. International Journal of Non-Linear Mechanics. http://dx.doi.org/10.1016/j.ijnonlinmec.2016.09.007.
SponsorsThis research made use of the resources of the IT Research Computing at King Abdullah University of Science & Technology (KAUST) in Thuwal, Saudi Arabia. In addition, the first author acknowledges the support of Saudi Aramco.
Except where otherwise noted, this item's license is described as © 2016. This manuscript version is made available under the CC-BY-NC-ND 4.0