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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

A detailed study of the parametric excitation of a vertical heavy rod using the method of multiple scales

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Author(s):
Vernizzi, Guilherme Jorge [1, 2] ; Lenci, Stefano [1] ; Franzini, Guilherme Rosa [2]
Total Authors: 3
Affiliation:
[1] Univ Politecn Marche, Ancona - Italy
[2] Univ Sao Paulo, Offshore Mech Lab LMO, Escola Politecn, Sao Paulo - Brazil
Total Affiliations: 2
Document type: Journal article
Source: MECCANICA; v. 55, n. 12, SI, p. 2423-2437, DEC 2020.
Web of Science Citations: 1
Abstract

An analytical solution for the problem of an immersed flexible and vertical heavy rod subjected to a vertical top motion is developed using the multiple scales method directly applied to the partial differential equations of motion. The obtained results show good agreement with a numerical solution obtained using the finite element method for a study case. The analytical solution is then used to carry out some sensitivity studies. The effects of the structural nonlinearities, hydrodynamic and structural damping terms are investigated. It is shown that the nonlinearities play a role in defining the frequency of the top motion that causes the maximum amplitude of response, but not the value of the amplitude itself. In turn, the major role played by the hydrodynamic damping in defining the response amplitude is addressed. It is also shown that the structural damping have an important effect on the response amplitude even in the case of small damping ratio. This occurs due to the combined effect of the structural with the hydrodynamic damping. Finally, it is pointed out that small differences in the structural damping ratio can lead to significant differences in the response amplitude. (AU)

FAPESP's process: 17/16578-2 - Analysis of the dynamics of vertical and flexible cylinders subjected to vortex-induced vibrations using the nonlinear normal modes approach
Grantee:Guilherme Jorge Vernizzi Lopes
Support type: Scholarships abroad - Research Internship - Doctorate (Direct)
FAPESP's process: 16/25457-1 - Analytical-numerical investigations on vortex-induced vibrations and parametric excitation phenomena in flexible cylinders in vertical and catenary configurations
Grantee:Guilherme Jorge Vernizzi Lopes
Support type: Scholarships in Brazil - Doctorate (Direct)