层状压电压磁弹性介质空间问题的数据分析与处理

从横观各向同性层状压电压磁弹性介质空间问题出发,利用状态变量法和0层面的边界条件,得到适用于计算不同状态变量的关系矩阵,以及状态变量表示的多层压电压磁弹性介质在Hankel变换空间中的解。在选择性计算的基础上,对不同的状态变量分别采用各自的方式修正关系矩阵,有效地避免了直接计算所产生的计算结果失真现象。为解决诸如此类的更复杂的问题奠定了理论基础。

Data Analysis and Process for Spatial Problem of Multi-Layer Magneto-electro-elastic media

Looking through the spatial problem of transversely isotropic multi layer magneto electro elastic media, the relative matrices suitable to different state vectors were given via the state vector method and the conditions of 0 layer interface. The general solutions of multi layered magneto electro elastic media in the form of the initial state vector were also obtained in Hankel transform space. Based on the selective calculation, different state vectors use corresponding method to modify the relative matrices, which effectively avoids the deformation of the result due to direct calculation and sets up the theoretical foundation of more complicated similar problems.