On new first-order shear deformation plate theories
On new first-order shear deformation plate theories
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DOI：
10.1016/j.mechrescom.2016.02.005
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发表时间：
2016-04
影响因子：
2.4
通讯作者：
I. Senjanović;N. Vladimir;Marko Tomić
中科院分区：
文献类型：
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作者：
I. Senjanović;N. Vladimir;Marko Tomić
本文提出了基于汉密尔顿原理的变分一致一阶剪切变形板理论。控制偏微分方程的运动，在剪切变形，是六阶perxandy。一个先进的板理论满足力平衡，在弯曲挠度，四阶也概述。说明性的例子解析求解和固有频率进行了比较与现有的经典Mindlin厚板理论的瑞利-里兹方法确定的。对所考虑的两种一阶剪切变形板理论的可靠性进行了评估。
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 perxandy. 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.