Nonlinear vibration of marine riser with large displacement
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Author list: Klaycham K., Athisakul C., Chucheepsakul S.
Publisher: Springer
Publication year: 2017
Journal: Journal of Marine Science and Technology (0948-4280)
Volume number: 22
Issue number: 2
Start page: 361
End page: 375
Number of pages: 15
ISSN: 0948-4280
eISSN: 1437-8213
Languages: English-Great Britain (EN-GB)
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Abstract
This paper investigates the nonlinear free vibration of a marine riser with large displacement. The nonlinear equation of motion is derived using a variational approach based on Hamilton’s principle. The strain energy functional is composed of the strain energies due to axial deformation and bending. The strain energy associated with the rotational restraint at the bottom end of riser is also considered. The kinetic energy is derived by considering the riser and transporting fluid motions. The finite element method is applied to develop the nonlinear stiffness matrix, mass matrix, and gyroscopic matrix of the riser system. Consequently, the nonlinear natural frequencies and their corresponding mode shapes are determined by solving the eigenvalue problem incorporating the direct iteration technique. Various numerical examples are investigated to evaluate the linear and nonlinear dynamic characteristics of the riser. The parametric investigations of the horizontal top end offset, top tension, and rotational spring constant at bottom support are provided to show the modal transition phenomenon of the riser system. The nonlinear natural frequencies and their corresponding mode shapes are also presented to identify the softening and hardening behaviors of the riser. © 2016, JASNAOE.
Keywords
Marine riser
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