Free vibration and parametric resonance of shear deformable functionally graded cylindrical panels
Free vibration and parametric resonance of shear deformable functionally graded cylindrical panels
复制标题
DOI：
10.1016/s0022-460x(02)01015-5
复制
发表时间：
2003-04
影响因子：
4.7
通讯作者：
Jie Yang;Hui‐Shen Shen
中科院分区：
文献类型：
--
作者：
Jie Yang;Hui‐Shen Shen
本文研究了热环境下功能梯度圆柱板在静力和周期轴力共同作用下的自由振动和动力失稳问题。理论公式基于Reddy的高阶剪切变形壳理论，考虑了旋转惯量和横向剪切应变沿壁板厚度的抛物线分布。分析中考虑了稳态温度变化引起的热效应。假定材料性能与温度有关，并根据成分的体积分数按幂规律分布在厚度方向上进行分级。目前考虑的面板是夹紧或简单地支撑在两个直边上，可以是自由的、简单地支撑在弯曲的边缘上或夹在弯曲的边缘上。利用一维微分求积近似、Galerkin方法和Bolotin方法的优点，采用半解析方法确定了板的固有频率和失稳区域。给出了氮化硅/不锈钢圆柱板的无量纲表格和图形的数值结果。研究了材料组成、温升、壁板几何参数和边界条件对自由振动和参数共振的影响。
This paper investigates free vibration and dynamic instability of functionally graded cylindrical panels subjected to combined static and periodic axial forces and in thermal environment. Theoretical formulations are based on Reddy's higher order shear deformation shell theory to account for rotary inertia and the parabolic distribution of the transverse shear strains through the panel thickness. Thermal effects due to steady temperature change are included in the analysis. Material properties are assumed to be temperature dependent and graded in the thickness direction according to a power-law distribution in terms of the volume fractions of the constituents. The panel under current consideration is clamped or simply supported on two straight edges and may be either free, simply supported or clamped on the curved edges. A semi-analytical approach, which takes the advantages of one-dimensional differential quadrature approximation, Galerkin technique and Bolotin's method, is employed to determine the natural frequencies and the unstable regions of the panel. Numerical results for silicon nitride/stainless-steel cylindrical panels are given in both dimensionless tabular and graphical forms. Effects of material composition, temperature rise, panel geometry parameters, and boundary conditions on free vibration and the parametric resonance are also studied.