首页> 外文会议>SMASIS2010;ASME conference on smart materials, adaptive structures and intelligent systems >NONLINEAR VIBRATION ANALYSIS OF SHEAR DEFORMABLE FUNCTIONALLY GRADED CERAMIC-METAL PLATES USING AN IMPROVED HIGHER ORDER THEORY
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NONLINEAR VIBRATION ANALYSIS OF SHEAR DEFORMABLE FUNCTIONALLY GRADED CERAMIC-METAL PLATES USING AN IMPROVED HIGHER ORDER THEORY

机译:基于改进的高阶理论的剪切变形功能梯度陶瓷板非线性振动分析

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In the present study, an improved higher order theory in conjunction with finite element method (FEM) is presented and is applied to study the nonlinear vibration analysis of shear deformable functionally graded material (FGMs) plates. The present structural model kinematics assumes the cubically varying in-plane displacement over the entire thickness, while the transverse displacement varies quadratically to achieve the accountability of normal strain and its derivative in calculation of transverse shear strains. The theory also satisfies zero transverse strains conditions at the top and bottom faces of the plate, and the geometric nonlinearity is based on Green-Lag range assumptions. All higher order terms appearing from nonlinear strain displacement relations are incorporated in the formulation. The material properties of the plates are assumed to vary smoothly and continuously throughout the thickness of the plate by a simple power-law distribution in terms of the volume fractions o] the constituents. A C° continuous isoparametric nonlinear FEM with 13 degrees of freedom per node is proposed for the accomplishment of the improved elastic continuum. Numerical results with different system parameters and boundary conditions are accomplished, to show the importance and necessity of the higher order terms in the nonlinear formulations.
机译:在本研究中,提出了一种改进的高阶理论与有限元方法(FEM)结合,并将其用于研究剪切可变形功能梯度材料(FGMs)板的非线性振动分析。当前的结构模型运动学假设在整个厚度上三次方的平面内位移,而横向位移则二次方变化以实现法向应变及其在计算横向剪应变时的导数。该理论还满足了板的顶面和底面的零横向应变条件,并且几何非线性基于Green-Lag范围假设。从非线性应变位移关系中出现的所有高阶项都包含在公式中。通过简单的幂律分布,就组成的体积分数而言,假定板的材料特性在板的整个厚度上平滑且连续地变化。为了完成改进的弹性连续体,提出了每个节点具有13个自由度的C°连续等参非线性有限元。完成了具有不同系统参数和边界条件的数值结果,以表明在非线性公式中高阶项的重要性和必要性。

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