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孔艳平 杨茜 刘金喜. 磁电弹板双材料板中厚度-扭曲波的传播[J]. 力学学报, 2011, 43(2): 423-429. DOI: 10.6052/0459-1879-2011-2-lxxb2009-605
引用本文: 孔艳平 杨茜 刘金喜. 磁电弹板双材料板中厚度-扭曲波的传播[J]. 力学学报, 2011, 43(2): 423-429. DOI: 10.6052/0459-1879-2011-2-lxxb2009-605
Kong Yanping Yang Qian Jin-Xi Liu. Thickness-twist waves in the magneto-electro-elastic bi-material plate[J]. Chinese Journal of Theoretical and Applied Mechanics, 2011, 43(2): 423-429. DOI: 10.6052/0459-1879-2011-2-lxxb2009-605
Citation: Kong Yanping Yang Qian Jin-Xi Liu. Thickness-twist waves in the magneto-electro-elastic bi-material plate[J]. Chinese Journal of Theoretical and Applied Mechanics, 2011, 43(2): 423-429. DOI: 10.6052/0459-1879-2011-2-lxxb2009-605

磁电弹板双材料板中厚度-扭曲波的传播

Thickness-twist waves in the magneto-electro-elastic bi-material plate

  • 摘要: 研究了磁电弹双材料板(板的上下表面是机械自由、电学开路和磁学短路的)中厚度-扭曲波的传播. 基于磁电弹全耦合的本构方程, 首先推导了厚度扭曲波传播的一般解, 然后利用边界条件和界面条件得到了频率方程. 数值算例分析了压电(BaTiO_3)-压磁(CoFe_2O_4)双材料板中厚度扭曲波传播时, 位移、电势和磁势的变化特征以及模态数与几何尺寸的关系.

     

    Abstract: This paper is concerned with the thickness-twist wavespropagating in an infinite magneto-electro-elastic bi-material plate. Theupper and lower surfaces of the plate are assumed to be mechanically free,electrically open and magnetically closed. Based on the fully coupledmagneto-electro-elastic constitutive relations, the general solutions of thethickness-twist waves are first derived. Then the frequency equations areobtained by using the boundary conditions and interfacial conditions. As anexample, for the propagation of the thickness-twist waves in the bi-materialplate consisting of BaTiO_3 and CoFe_2O_4, the distributions ofthe displacement, electrical potential and magnetic potential are obtained.The dependence of the number of trapped modes on the geometric size is alsogiven. The theoertical results are useful for the design of plateresonators, filters and acoustic wave devices with magneto-electric effect.

     

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