Post-Buckling Analysis of a Uniform Self-Weight Beam with Application to Catenary Riser
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Publication Details
Author list: Punjarat O.-A., Chucheepsakul S.
Publisher: World Scientific Publishing
Publication year: 2019
Journal: International Journal of Structural Stability and Dynamics (0219-4554)
Volume number: 19
Issue number: 4
ISSN: 0219-4554
eISSN: 1793-6764
Languages: English-Great Britain (EN-GB)
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Abstract
This paper focused on a simply supported beam under uniform self-weight, subjected to an axial force at the roller end. The principle of virtual work-energy was used to formulate the equation for the nonlinear deformation of the beam, which involves the bending strain energy, the virtual work due to self-weight, and the virtual work of the axial force applied at the free-sliding roller end. The work-energy functional was expressed in terms of the arc-length coordinate. The functional vanished, yielding the static equilibrium configuration of the beam - a highly nonlinear problem. Finite element and Newton-Raphson iterative methods were used to solve the problem. The beam theory was extended to large sag analysis of a catenary riser. With this, some interesting features of the various configurations of the catenary riser under various end forces were evaluated. ฉ 2019 World Scientific Publishing Company.
Keywords
catenary sag, free-sliding roller support, post-buckling behavior, Variational principle
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