On free vibration of non-homogeneous transversely isotropic magneto-electro-elastic plates
On free vibration of non-homogeneous transversely isotropic magneto-electro-elastic plates
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DOI：
10.1016/j.jsv.2003.10.033
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发表时间：
2005-01
影响因子：
4.7
通讯作者：
Wei-qiu Chen;K. Lee;H. Ding
中科院分区：
文献类型：
--
作者：
Wei-qiu Chen;K. Lee;H. Ding
通过引入适当的应力和位移函数，建立了横向各向同性磁电弹性介质的两个独立的状态方程。然后考虑沿厚度方向具有一般不均匀（功能梯度）材料属性的简支矩形板的自由振动问题。采用近似层板模型将变系数状态方程转化为常系数状态方程。发现了两种不同类别的振动。其中，第一类频率仅与板的弹性特性有关，而第二类频率则受弹性场、电场和磁场之间的耦合影响。给出了数值结果并讨论了一些重要问题。
Two independent state equations are established for transversely isotropic magneto-electro-elastic media by introducing proper stress and displacement functions. The free vibration problem of simply supported rectangular plates with general inhomogeneous (functionally graded) material properties along the thickness direction is then considered. An approximate laminate model is employed to transform the state equations with variable coefficients to the ones with constant coefficients. Two different classes of vibrations are found. In particular, the frequency of the first class is only related to the elastic property of the plate, while that of the second class is affected by the couplings among the elastic, electric and magnetic fields. Numerical results are presented and some important issues are discussed.