This work considers the propagation of bending waves along the free edge of a semi-infinite piezoelectric plate perfectly bonded with a metal strip plate of the same thickness within the framework of the first-order Reissner–Mindlin refined plate theory. The three-dimensional coupled equations for displacement fields are solved with the help of the solution to electric potential for a plate of infinite extent. The exact dispersion relation of bending edge waves is obtained. The propagation of bending edge waves in such a composite plate demonstrates multi-mode due to the presence of the metal strip plate. This wave has properties analogous to the surface wave in an elastic half-space covered by a thin layer within the theory of plane strain. The number of propagation modes depends on the width–thickness ratio of the metal plate and increases as this width–thickness ratio increases. The phase velocity of the bending edge wave in a piezoelectric composite plate is much lower than that of pure piezoelectric plate. Effect of the dimension of the metal strip plate on dispersion curves of bending edge waves is limited.

这项工作考虑了在一阶Reissner-Mindlin精制板理论框架内，弯曲波沿着半无限压电板的自由边缘的传播，该半无限压电板与相同厚度的金属带板完美结合。借助于无限大范围板的电势解，求解了位移场的三维耦合方程。得到了弯曲边缘波的精确色散关系。由于金属带板的存在，弯曲边缘波在这种复合板中的传播表现出多模态。在平面应变理论中，该波具有类似于弹性半空间中由薄层覆盖的表面波的特性。传播模式的数量取决于金属板的宽厚比，并且随着该宽厚比的增加而增加。压电复合板中弯曲边缘波的相速度远低于纯压电板。金属带板的尺寸对弯曲边缘波的色散曲线的影响是有限的。