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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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]) |
|---|---|
| Keywords (Croatian): | finite element method, flexural vibrations, Mindlin theory, shear locking, shear vibrations, thick plate |
| Subjects: | TECHNICAL SCIENCE > Shipbuilding TECHNICAL SCIENCE > Mechanical Engineering |
| 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: | 1 (18.10.2017.) |
| Quartiles: | Q3 (2013) |
| Citations SCOPUS: | 1 (18.10.2017.) |
| Date Deposited: | 03 Dec 2014 10:36 |
| Last Modified: | 18 Oct 2017 06:37 |
| URI: | http://repozitorij.fsb.hr/id/eprint/3094 |
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