Comparative analysis of new shear locking-free finite element with other commonly used approaches in vibration analysis of Mindlin plates

Senjanović, Ivo and Vladimir, Nikola and Cho, Dae Seung and Jokić, Marko and Choi, Tae Muk (2015) Comparative analysis of new shear locking-free finite element with other commonly used approaches in vibration analysis of Mindlin plates. = Comparative analysis of new shear locking-free finite element with other commonly used approaches in vibration analysis of Mindlin plates. In: 1st Pan-American Congress on Computational Mechanics – PANACM 2015, XI Argentine Congress on Computational Mechanics – MECOM 2015, 27-29.04.2015., Buenos Aires, Argentina.

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Abstract

This paper is dedicated to validation of newly developed shear locking-free finite element (FE) for the vibration analysis of Mindlin plates. First, the state-of-the art in thick plate vibration theories and analysis methods is described and basic equations of the original and advanced Mindlin plate theories, respectively, are listed. Then, a detailed description of shear-locking free rectangular finite element is provided. Bending deflection is used as a potential function for the definition of total (bending and shear) deflection and angles of cross-section rotations. Extensive calculations are done by using developed in-house codes and standard commercial FE tools. Also, comparisons with analytical solutions and energy-based assumed mode method results are included. In addition, convergence of the developed finite element is checked. Natural vibration analyses of rectangular plates having different edge constraints, utilizing the proposed quadrilateral FE, show very good agreement with other commonly used methods.

Item Type: Conference or Workshop Item (Lecture)
Keywords (Croatian): Mindlin plate theory, shear locking, vibration, FEM
Subjects: TECHNICAL SCIENCE > Mechanical Engineering
Divisions: 200 Department of Engineering Mechanics > 230 Chair of Mechanical Systems Dynamics
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 (02.11.2017.)
Citations SCOPUS: 0 (02.11.2017.)
Date Deposited: 23 May 2016 10:39
Last Modified: 02 Nov 2017 12:59
URI: http://repozitorij.fsb.hr/id/eprint/5908

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