On new first-order shear deformation plate theories

被引：15
|
作者：
Senjanovic, Ivo [1 ]
Vladimir, Nikola [1 ]
Tomic, Marko [1 ]
机构：
[1] Univ Zagreb, Fac Mech Engn & Naval Architecture, Ivana Lucica 5, Zagreb 10000, Croatia
来源：
MECHANICS RESEARCH COMMUNICATIONS | 2016年 / 73卷
基金：
新加坡国家研究基金会;
关键词：
Mindlin plate; Shear deformation theory; Analytical solutions; TIMOSHENKO BEAM; TRANSVERSE VIBRATIONS; FORMULATION;
D O I：
10.1016/j.mechrescom.2016.02.005
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
This paper presents the variationally consistent first-order shear deformation plate theory based on Hamilton's principle. The governing partial differential equation of motion, in terms of shear deformation, is of the sixth order per x and y. An advanced plate theory satisfying force equilibrium, in terms of bending deflection, of the fourth order is also outlined. Illustrative examples are solved analytically and natural frequencies are compared with existing ones determined by the Rayleigh-Ritz method within the classical Mindlin thick plate theory. An evaluation of reliability of the considered two first-order shear deformation plate theories is given. (C) 2016 Elsevier Ltd. All rights reserved.
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页码：31 / 38
页数：8
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