【摘要】 用状态空间方法将电磁弹性材料中质点运动的广义位移和应力作为状态变量,结合本构方程和平衡方程,得到质点运动的状态方程;获得状态方程的通解后,利用Lamb波存在的边界条件,求出波传播的频散曲线及模态参数。所提方法推导过程简单直观,程序编制方便。以双层电磁弹性板为对象,计算了其频散曲线及模态,结果表明,电磁弹性耦合影响电势与磁势分布,而对频散特征和弹性位移影响很小。更多还原

【Abstract】 By virtue of state space method, partial general displacements and stresses were taken as state variables to describe the movement of MEE. Considering constitution equations and force equilibrium equations,the state equation of Lamb wave propagation in plates was obtained. Based on the general solution of state equation and boundary conditions, the dispersion relation and modal shapes were derived. The formulation proposed here is simple and can be easily realized by program. Finally an example of a two layers MEE plate was studied. The numerical results show that the magneto-electro-elastic coupling changes the electrical and magnetic potentials, but less effects on the dispersion relation and elastic displacements.更多还原