# Formulacija konačnih elemenata za analizu vibracija debele ploče bez smične blokade

Cho, Dae Seung and Hadžić, Neven and Senjanović, Ivo and Vladimir, Nikola (2013) Formulacija konačnih elemenata za analizu vibracija debele ploče bez smične blokade. = Shear locking-free finite element formulation for thick plate vibration analysis. Brodogradnja : časopis brodogradnje i brodograđevne industrije, 64 (3). pp. 256-278. ISSN 0007-215X. Vrsta rada: ["eprint_fieldopt_article_type_article" not defined]. Kvartili JCR: Q3 (2013). Točan broj autora: 4.

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Prilog_08_810_Senjanovic_online.pdf - Published Version Jezik dokumenta:English

## Abstract

The basic equations of the Mindlin thick plate theory are specified as starting point for the development of a new thick plate theory in which total deflection and rotations are split into pure bending deflection and shear deflection with bending angles of rotation, and in-plane shear angles. The equilibrium equations of the former displacement field are condensed into one partial differential equation for flexural vibrations. In the latter case two differential equations for in-plane shear vibrations are obtained and they are similar to the well-known membrane equations. Physical background of the derived equations is analysed in case of a simply supported square plate. Rectangular shear locking-free finite element for flexural vibrations is developed. For in-plane shear vibrations ordinary membrane finite elements can be used. Natural modes of plate layers in in-plane shear vibrations are the same as membrane modes, while natural frequencies have to be transformed. Application of the presented theory is illustrated in a case of simply supported and clamped square plate. Problems are solved analytically and by FEM. The obtained results, compared with the relevant ones available in literature, are discussed.

Item Type: Article (["eprint_fieldopt_article_type_article" not defined]) finite element method, flexural vibrations, Mindlin theory, shear locking, shear vibrations, thick plate TECHNICAL SCIENCE > ShipbuildingTECHNICAL SCIENCE > Mechanical Engineering 600 Department of Naval Engineering and Marine Technology > 620 Chair of Marine Structures Design600 Department of Naval Engineering and Marine Technology > 650 Chair of Marine Machinery and System Design Yes No 1 (18.10.2017.) Q3 (2013) 1 (18.10.2017.) 03 Dec 2014 10:36 18 Oct 2017 06:37 http://repozitorij.fsb.hr/id/eprint/3094