Natural frequencies and mode shapes of statically deformed inclined risers

Feras Alfosail; Ali H. Nayfeh; Mohammad I. Younis

doi:10.1115/IMECE2016-66009

Natural frequencies and mode shapes of statically deformed inclined risers

Feras Alfosail, Ali H. Nayfeh, Mohammad I. Younis

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

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.

Original language	English (US)
Title of host publication	ASME 2016 International Mechanical Engineering Congress and Exposition, IMECE 2016
Publisher	American Society of Mechanical Engineers (ASME) [email protected]
ISBN (Print)	9780791850541
DOIs	https://doi.org/10.1115/IMECE2016-66009 https://doi.org/10.1115/IMECE201666009
State	Published - Feb 8 2017

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
Acknowledgements: This research made use of the resources of 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.

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Cite this

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title = "Natural frequencies and mode shapes of statically deformed inclined risers",

abstract = "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.",

author = "Feras Alfosail and Nayfeh, {Ali H.} and Younis, {Mohammad I.}",

note = "KAUST Repository Item: Exported on 2020-10-01 Acknowledgements: This research made use of the resources of 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.",

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doi = "10.1115/IMECE2016-66009",

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Natural frequencies and mode shapes of statically deformed inclined risers. / Alfosail, Feras; Nayfeh, Ali H.; Younis, Mohammad I.
ASME 2016 International Mechanical Engineering Congress and Exposition, IMECE 2016. American Society of Mechanical Engineers (ASME) [email protected], 2017.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

TY - GEN

T1 - Natural frequencies and mode shapes of statically deformed inclined risers

AU - Alfosail, Feras

AU - Nayfeh, Ali H.

AU - Younis, Mohammad I.

N1 - KAUST Repository Item: Exported on 2020-10-01 Acknowledgements: This research made use of the resources of 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.

PY - 2017/2/8

Y1 - 2017/2/8

N2 - 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.

AB - 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.

UR - http://hdl.handle.net/10754/656804

UR - https://asmedigitalcollection.asme.org/IMECE/proceedings/IMECE2016/50541/262056

U2 - 10.1115/IMECE2016-66009

DO - 10.1115/IMECE2016-66009

M3 - Conference contribution

SN - 9780791850541

BT - ASME 2016 International Mechanical Engineering Congress and Exposition, IMECE 2016

PB - American Society of Mechanical Engineers (ASME) [email protected]

ER -

Natural frequencies and mode shapes of statically deformed inclined risers

Abstract

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