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

共 50 条

[21] Vibration Analysis of Plates by MLS-Element Method
Zhou, L.
Xiang, Y.
ISCM II AND EPMESC XII, PTS 1 AND 2, 2010, 1233 : 225 - 230
[22] Bending, Free Vibration and Buckling Analysis of Functionally Graded Plates via Wavelet Finite Element Method
Zuo, Hao
Yang, Zhibo
Chen, Xuefeng
Xie, Yong
Zhang, Xingwu
CMC-COMPUTERS MATERIALS & CONTINUA, 2014, 44 (03): : 167 - 204
[23] A global Ritz formulation for the free vibration analysis of hybrid metal-composite thick trapezoidal plates
Shokrollahi, S.
Shafaghat, S.
SCIENTIA IRANICA, 2016, 23 (01) : 249 - 259
[24] Dynamic stiffness formulation for vibration analysis of thick composite plates resting on non-homogenous foundations
Tran Ich Thinh
Manh Cuong Nguyen
Dinh Gia Ninh
COMPOSITE STRUCTURES, 2014, 108 : 684 - 695
[25] A NEW 12-DOF QUADRILATERAL ELEMENT FOR ANALYSIS OF THICK AND THIN PLATES
JIROUSEK, J
WROBLEWSKI, A
SZYBINSKI, B
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1995, 38 (15) : 2619 - 2638
[26] An efficient finite element formulation for bending, free vibration and stability analysis of Timoshenko beams
Mohammad Karkon
Journal of the Brazilian Society of Mechanical Sciences and Engineering, 2018, 40
[27] A layerwise finite element formulation for free vibration analysis of functionally graded sandwich shells
Pandey, Shashank
Pradyumna, S.
COMPOSITE STRUCTURES, 2015, 133 : 438 - 450
[28] NURBS-based finite element analysis of functionally graded plates: Static bending, vibration, buckling and flutter
Valizadeh, Navid
Natarajan, Sundararajan
Gonzalez-Estrada, Octavio A.
Rabczuk, Timon
Tinh Quoc Bui
Bordas, Stephane P. A.
COMPOSITE STRUCTURES, 2013, 99 : 309 - 326
[29] Using fourth order element for free vibration parametric analysis of thick plates resting on elastic foundation
Ozdemir, Y. I.
STRUCTURAL ENGINEERING AND MECHANICS, 2018, 65 (03) : 213 - 222
[30] A general Ritz formulation for the free vibration analysis of thick trapezoidal and triangular laminated plates resting on elastic supports
Quintana, Maria V.
Nallim, Liz G.
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES, 2013, 69 : 1 - 9

← 1 2 3 4 5 →