磁场对电磁弹性板中Lamb波频散特性的影响  

Effect of Magnetic Field on Phase Velocity of Lamb Wave in Magneto-Electro-Elastic Plate

作　　者：吕克朋[1] 陈江义[1] 陈花玲[2] 

机构地区：[1]郑州大学,郑州450001 [2]西安交通大学,西安710049

出　　处：《应用力学学报》2009年第3期575-579,共5页Chinese Journal of Applied Mechanics

基　　金：国家自然科学基金(50575172)

摘　　要：研究了静态磁场下电磁弹性结构中Lamb波的传播行为。在确定静态磁场下电磁弹性板中耦合初始广义应力(弹性应力、电位移和磁感应强度)的基础上,推导了含初始广义应力时板中Lamb波传播的运动方程,并由此获得了对称模态和反对称模态时的频散方程。以由BaTiO3-CoFe2O4材料构成的电磁弹性板模型作为数值算例,绘制了Lamb波传播的对称模态和反对称模态频散曲线。计算结果表明磁场对Lamb波的频散特性有一定的影响。The propagation behavior of Lamb wave in a magneto-electro-elastic plate in magnetic field was investigated. The stress and electric displacement and magnetic induction intensity in the plate were derived. Then the phase equations of symmertric and anti-symmertric modes of Lamb wave were obtained by solving the wave equations coupled with stress and electric displacement and magnetic field. For the MEE plate, the dispersive curves were plotted and the impact on the Lamb-wave phase velocity by magnetic field was discussed. The results show that magnetic field excerts obvious effect on Lamb-wave phase velocity.

关 键 词：LAMB波 电磁弹性材料 磁场 频散关系 

分 类 号：O347.4[理学—固体力学] O482.5[理学—力学]