Senjanović, Ivo and Tomić, Marko and Hadžić, Neven and Vladimir, Nikola (2016) Static and dynamic rectangular finite elements for plate vibration analysis. = Static and dynamic rectangular finite elements for plate vibration analysis. International journal for engineering modelling, 29 (1-4). pp. 1-25. ISSN 1330-1365. Vrsta rada: ["eprint_fieldopt_article_type_article" not defined]. . Točan broj autora: 4.
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Static and dynamic rectangular finite elements for plate vibration analysis.pdf - Published Version Jezik dokumenta:English Download (1MB) | Preview |
Abstract
Nowadays dynamic finite elements with frequency dependent unified stiffness matrix are considered in order to reduce finite element mesh density, and, consequently, system of algebraic equations in eigenvalue formulation. In this paper, an attempt to develop a 4-noded rectangular finite element for thin plate bending is presented. Since there is no simple general analytical solution of plate vibrations for arbitrary boundary conditions, dynamic shape functions are assumed as products of beam shape functions in longitudinal and transverse direction. Dynamic finite element with frequency dependent stiffness and mass matrix is derived by energy approach. Convergence of results is checked and it is found that such finite element formulation is not suitable for wider use. Therefore, strip finite element for vibration analysis of rectangular plate with simply supported two opposite edges is developed, which gives exact results. Application of both finite elements is illustrated by several numerical examples.
| Item Type: | Article (["eprint_fieldopt_article_type_article" not defined]) |
|---|---|
| Keywords (Croatian): | thin plate; dynamic finite elements; rectangular element; strip element; dynamic stiffness and mass matrix |
| Subjects: | 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: | No |
| Indexed in Current Contents: | No |
| Citations SCOPUS: | 0 (24.10.2017.) |
| Date Deposited: | 17 Mar 2017 13:40 |
| Last Modified: | 24 Oct 2017 13:03 |
| URI: | http://repozitorij.fsb.hr/id/eprint/7578 |
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