微极各向同性弹性板中的Rayleigh-Lamb波

Rayleigh Lamb Waves in a Micropolar Isotropic Elastic Plate

研究了无应力作用条件下,均匀、各向同性、圆柱形微极结构弹性板中波的传播.导出了对称和斜对称模式下波传播的特征方程.对短波这一极端情况,无应力圆板中对称和斜对称模态波的特征方程退化为Rayleigh表面波频率方程.并得到薄板的计算结果.给出了位移和微转动分量,并绘制了相应图形.给出了若干特殊情况的研究结果及对称和斜对称模态特征方程的图示.

The propagation of waves in a homogeneous isotropic micropolar elastic cylindrical plate subjected to stress free conditions is investigated. The secular equations for symmetric and skew symmetric wave mode propagation were derived. At short wave limit, the secular equations for symmetric and skew symmetric waves in a stress free circular plate reduces to Rayleigh surface wave frequency equation Thin plate results are also obtained. The amplitude of displacements and microrotation components are obtained and depicted graphically. Some special cases are also deduced from the present investigations. The secular equations for symmetric and skew symmetric modes are also presented graphically.