An advanced theory of moderately thick plate vibrations

Senjanović, Ivo and Vladimir, Nikola and Tomić, Marko (2013) An advanced theory of moderately thick plate vibrations. = An advanced theory of moderately thick plate vibrations. Journal of Sound and Vibration, 332 (7). pp. 1868-1880. ISSN 0022-460X. Vrsta rada: ["eprint_fieldopt_article_type_article" not defined]. Kvartili JCR: Q1 (2013). Točan broj autora: 3.

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Official URL: https://doi.org/10.1016/j.jsv.2012.11.022

Abstract

In thick plate vibration theory, the governing equations are stated with a system of three partial differential equations of motion with total deflection, which consists of bending deflection and shear contribution, and angles of rotation as fundamental variables. Most of the methods deal with these three equations, some of them with two, and recently a solution based on one equation has been offered. In the present paper, a system of three equations for a moderately thick plate is reduced to a single equation in terms of bending deflection only as a fundamental variable. Shear deflection and angles of rotation depend on bending deflection as a potential function. A simple formula for natural frequencies of a simply supported plate is derived. A characteristic equation is also obtained for a plate with simply supported two opposite edges. Numerical results for a simply supported plate and a plate clamped on the two remaining opposite edges are compared with those known in literature, for different aspect ratios and relative thickness, and very good agreement is achieved.

Item Type: Article (["eprint_fieldopt_article_type_article" not defined])
Keywords (Croatian): Bending deflection; Characteristic equation; Governing equations; Moderately thick plate; Numerical results; One-equation; Opposite edges; Potential function; Shear contribution; Shear deflections; Simply supported; Single equation; Thick plate; Aspect ratio; Bending (forming); Equations of motion; Partial differential equations; Plates (structural components); Vibrations (mechanical)
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: Yes
Quartiles: Q1 (2013)
Date Deposited: 06 May 2015 12:05
Last Modified: 20 Dec 2017 09:49
URI: http://repozitorij.fsb.hr/id/eprint/4058

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