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正交各向异性功能梯度夹层板的自由振动分析

DOI: 10.3969/j.issn.1006-7043.201212050

Keywords: 功能梯度材料, 正交各向异性, 夹层板, 自由振动, 简支

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Abstract:

基于Reissner假设,对四边简支的正交各向异性功能梯度夹层板自由振动问题进行了研究。根据功能梯度芯材与正交各向异性表层的应力状态及本构关系,得出了功能梯度夹层板的运动平衡方程表达式;根据四边简支的边界条件,将挠度与横向剪力用双三角级数展开,得到了功能梯度夹层板固有频率的计算式。算例中采用本文方法对四边简支功能梯度夹层板的固有频率进行了求解,其芯材弹性模量在厚度方向上分别呈线性和幂律分布,并分析了芯材材料属性分布参数、结构跨厚比及面内纵横比对夹层板固有频率的影响,通过与有限元解进行对比,表明所提出的理论方法精确有效。

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