基于带状单元法的电磁弹性多层板复频散特性分析

超声波在弹性介质中传播时理论上可以分为传播、非传播及衰减模式,且分别与实、虚及复波数相对应,可用复频散特性来进行描述.这一性质在电磁弹性多层板结构中同样存在.该文利用带状单元法对其进行了分析和计算.首先,利用能量守恒定律并结合介质的本构方程、平衡方程及相应边界条件构建了结构的带状单元模型,然后利用该模型获得了电磁弹性多层板的频散方程,最后以一个由压电材料BaTiO3和压磁材料CoFe2O4构成的三层板为数值分析对象,给出了波在其中传播时的复频散特性,并利用计算结果证明了当前相关文献中材料常数引用的不合理性.

ANALYSIS OF COMPLEX DISPERSION RELATION FOR MAGNETO-ELECTRO-ELASTIC,MULTILAYERED PLATE BASED ON STRIP ELEMENT METHOD

It is well-known that when waves travel in solid structures the motion of media is with propagation,non-propagation or evanescent modes respectively,corresponding to real,imaginary or complex wave numbers.This phenomenon can also exist in magneto-electro-elastic,multilayered structures and can be illustrated by the complex dispersion relation.In order to obtain complex dispersion relation of magneto-electro-elastic multilayered structures,the strip element method is employed in this paper.From the point of ...