Abstract

In this paper a numerical solution is presented for free vibration analysis of sandwich cylindrical panels made of a saturated functionally graded porous (FG-porous) core and two similar homogenous face sheets. The panel is modeled based on the third order shear deformation theory (TSDT) and stress-strain relations are considered based on the linear poroelasticity theory of Biot. Natural frequencies are calculated for various boundary conditions and a parametric study is presented to study the effects of various parameters on the natural frequencies including geometrical parameters, porosity parameter, porosity distribution pattern, thickness of the porous core and compressibility of porefluid.

摘要

在本文中，提出了一种数值解法，用于对由饱和功能梯度多孔（FG 多孔）芯和两个类似的均质面板制成的夹层圆柱板进行自由振动分析。该面板基于三阶剪切变形理论（TSDT）建模，应力-应变关系基于Biot的线性孔隙弹性理论考虑。计算了各种边界条件的固有频率，并提出了参数研究来研究各种参数对固有频率的影响，包括几何参数、孔隙度参数、孔隙度分布模式、多孔芯的厚度和孔隙流体的可压缩性。