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dc.contributor.authorAlfosail, Feras
dc.contributor.authorNayfeh, Ali H.
dc.contributor.authorYounis, Mohammad I.
dc.identifier.citationAlfosail FK, Nayfeh AH, Younis MI (2016) Natural Frequencies and Mode Shapes of Statically Deformed Inclined Risers. International Journal of Non-Linear Mechanics.
dc.description.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.
dc.description.sponsorshipThis 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.
dc.publisherElsevier BV
dc.rights© 2016. This manuscript version is made available under the CC-BY-NC-ND 4.0
dc.subjectInclined riser
dc.subjectNatural frequency
dc.subjectMode shapes
dc.subjectGalerkin method
dc.titleNatural Frequencies and Mode Shapes of Statically Deformed Inclined Risers
dc.contributor.departmentMechanical Engineering Program
dc.contributor.departmentPhysical Science and Engineering (PSE) Division
dc.identifier.journalInternational Journal of Non-Linear Mechanics
dc.contributor.institutionDepartment of Engineering Science and Mechanics, MC 0219, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061, U.S.A
dc.contributor.institutionDepartment of Mechanical Engineering, University of Jordan, Amman, Jordan
kaust.personAlfosail, Feras
kaust.personYounis, Mohammad I.
kaust.acknowledged.supportUnitResearch Computing

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© 2016. This manuscript version is made available under the CC-BY-NC-ND 4.0
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