A new finite element formulation for vibration analysis of thick plates

被引：14

作者：

Senjanovic, Ivo ^{[1
]}

Vladimir, Nikola ^{[1
]}

Cho, Dae Seung ^{[2
]}

机构：

[1] Univ Zagreb, Fac Mech Engn & Naval Architecture, Zagreb 41000, Croatia

[2] Pusan Natl Univ, Dept Naval Architecture & Ocean Engn, Busan, South Korea

来源：

INTERNATIONAL JOURNAL OF NAVAL ARCHITECTURE AND OCEAN ENGINEERING | 2015年 / 7卷 / 02期

基金：

新加坡国家研究基金会;

关键词：

Mindlin plate theory; Finite element formulation; Thick-thin plate relation; Vibration analysis; Shear locking; ASSUMED MODE METHOD; RECTANGULAR-PLATES; MINDLIN PLATES; BOUNDARY-CONDITIONS; TIMOSHENKO BEAM; CHARACTERISTIC EQUATIONS; SHIP HULL; OPENINGS;

D O I：

10.1515/ijnaoe-2015-0023

中图分类号：

U6 [水路运输]; P75 [海洋工程];

学科分类号：

0814 ; 081505 ; 0824 ; 082401 ;

摘要：

A new procedure for determining properties of thick plate finite elements, based on the modified Mindlin theory for moderately thick plate, is presented Bending deflection is used as a potential function for the definition of total (bending and shear) deflection and angles of cross-section rotations. As a result of the introduced interdependence among displacements, the shear locking problem, present and solved in known finite element formulations, is avoided Natural vibration analysis of rectangular plate, utilizing the proposed four-node quadrilateral finite element, shows higher accuracy than the sophisticated finite elements incorporated in some commercial software. In addition, the relation between thick and thin finite element properties is established, and compared with those in relevant literature.

引用

页码：324 / 345

页数：22

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