A simplified geometric stiffness in stability analysis of thin-walled structures by the finite element method

Senjanović, Ivo and Vladimir, Nikola and Cho, Dae Seung (2012) A simplified geometric stiffness in stability analysis of thin-walled structures by the finite element method. = A simplified geometric stiffness in stability analysis of thin-walled structures by the finite element method. International Journal of Naval Architecture and Ocean Engineering, 4 (3). pp. 313-321. ISSN 2092-6782. Vrsta rada: ["eprint_fieldopt_article_type_article" not defined]. Kvartili JCR: Q3 (2012). Točan broj autora: 3.

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Abstract

Vibration analysis of a thin-walled structure can be performed with a consistent mass matrix determined by the shape functions of all degrees offreedom (d.o.f.) used for construction of conventional stiffness matrix, or with a lumped mass matrix. In similar way stability of a structure can be analysed with consistent geometric stiffness matrix or geometric stiffness matrix with lumped buckling load, related only to the rotational d.o.f. Recently, the simplified mass matrix is constructed employing shape functions of in-plane displacements for plate deflection. In this paper the same approach is used for construction of simplified geometric stiffness matrix. Beam element, and triangular and rectangular plate element are considered. Application of the new geometric stiffness is illustrated in the case of simply supported beam and square plate. The same problems are solved with consistent and lumped geometric stiffness matrix, and the obtained results are compared with the analytical solution. Also, a combination of simplified and lumped geometric stiffness matrix is analysed in order to increase accuracy of stability analysis.

Item Type: Article (["eprint_fieldopt_article_type_article" not defined])
Keywords (Croatian): Beam elements; Buckling loads; Consistent-mass matrices; Geometric stiffness; Geometric stiffness matrix; In-plane displacement; Lumped mass matrix; Mass matrices; Rectangular plates; Shape functions; Simply supported beams; Square plates; Stability analysis; Buckling; Finite element method; Plates (structural components); Stiffness; Stiffness matrix; Thin walled structures; Vibration analysis; Geometry
Subjects: TECHNICAL SCIENCE
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: Q3 (2012)
Date Deposited: 30 Apr 2015 07:26
Last Modified: 26 Oct 2017 12:47
URI: http://repozitorij.fsb.hr/id/eprint/3916

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