Formulation of consistent restoring stiffness in ship hydroelastic analysis

Senjanović, Ivo and Vladimir, Nikola and Tomić, Marko (2012) Formulation of consistent restoring stiffness in ship hydroelastic analysis. = Formulation of consistent restoring stiffness in ship hydroelastic analysis. Journal of Engineering Mathematics, 72 (1). pp. 141-157. ISSN 0022-0833. Vrsta rada: ["eprint_fieldopt_article_type_article" not defined]. Kvartili JCR: Q2 (2012). Točan broj autora: 3.

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In this article, the role of the restoring stiffness, as one of the basic parameters in ship hydroelastic analysis, is brought out. It is formulated using the variational principle and the method of virtual displacements. It is shown that asymmetry of the restoring stiffness is a physical reality. Moreover, it is confirmed that modal variation, still disputed in the relevant literature, has to be taken into account to satisfy the ship's stability. Consistent stiffness is formulated here by regarding stiffness definition as relation between forces and displacements. Hybrid stiffness known from the literature is wrong since some terms are specified as relation between forces and displacement gradient. Influence of the consistent and symmetrized stiffness matrix, and the hybrid one, on dynamic response is illustrated for a prismatic pontoon and a large container ship. It is found that the latter two matrices do not assure convergence of transfer functions of sectional forces to zero value as the wave frequency approaches zero. The rigid body and elastic responses are compared, and pertinent conclusions are drawn. It is also shown that it is not necessary to use the unified geometric and restoring stiffness for ordinary hydroelastic analysis of ship structures. The consistent formulation of the restoring stiffness matrix will be useful for extending linear potential theory hydrodynamic codes for rigid body analysis to deformable bodies. © 2011 Springer Science+Business Media B.V.

Item Type: Article (["eprint_fieldopt_article_type_article" not defined])
Keywords (Croatian): Basic parameters; Container ships; Deformable bodies; Displacement gradients; Elastic response; Hydro-elastic analysis; Hydrodynamic codes; Linear potential theory; Physical reality; Rigid body; Ship structure; Variational methods; Variational principles; Virtual displacements; Wave frequencies; Zero values; Dynamic response; Hydrodynamics; Hydroelasticity; Rigid structures; Ships; Stiffness; Variational techniques; Stiffness matrix
Divisions: 600 Department of Naval Engineering and Marine Technology > 620 Chair of Marine Structures Design
600 Department of Naval Engineering and Marine Technology > 650 Chair of Marine Machinery and System Design
Indexed in Web of Science: Yes
Indexed in Current Contents: Yes
Quartiles: Q2 (2012)
Date Deposited: 27 Apr 2015 09:53
Last Modified: 20 Dec 2017 09:14

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