A shear locking-free beam finite element based on the modified Timoshenko beam theory

Senjanović, Ivo and Vladimir, Nikola and Cho, Dae Seung (2013) A shear locking-free beam finite element based on the modified Timoshenko beam theory. = A shear locking-free beam finite element based on the modified Timoshenko beam theory. Transactions of FAMENA, 37 (4). pp. 1-16. ISSN 1333-1124. Vrsta rada: ["eprint_fieldopt_article_type_article" not defined]. Kvartili JCR: Q4 (2013). Točan broj autora: 3.

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Abstract

An outline of the Timoshenko beam theory is presented. Two differential equations of motion in terms of deflection and cross-section rotation are comprised in one equation and analytical expressions for displacements and sectional forces are given. Two different displacement fields are recognized, i.e. flexural and axial shear, and a modified beam theory with extension is worked out. Flexural and axial shear locking-free beam finite elements are developed. Reliability of the finite elements is demonstrated with numerical examples for a simply supported, clamped and free beam by comparing the obtained results with analytical solutions.

Item Type: Article (["eprint_fieldopt_article_type_article" not defined])
Keywords (Croatian): Timoshenko beam theory; modified beam theory; flexural vibrations; axial shear vibrations; beam finite element; shear locking
Subjects: TECHNICAL SCIENCE > Shipbuilding
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: No
Citations JCR: 0 (27.10.2017.)
Quartiles: Q4 (2013)
Citations SCOPUS: 0 (27.10.2017.)
Date Deposited: 24 Nov 2014 15:12
Last Modified: 27 Oct 2017 09:02
URI: http://repozitorij.fsb.hr/id/eprint/2985

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