This study presents an investigation of the wave propagation of a rectangular sandwich composite plate with tunable magneto-rheological fluid core. The constituent parts of this rectangular sandwich composite plate are the base layer, magneto-rheological fluid core, and limiter layer. Magneto-rheological fluid core is embedded within the base and limiter layers. Also, the upper and lower layers are made of elastic materials. For obtaining the governing equations of motion, Hamilton’s principle and classical plate theory are used. After that, applying an analytical solution, the wave frequency and phase velocity of the propagated waves can be gained by solving eigenvalue problem. By investigating the effect of the magnetic field, the results emphasize that the magnetic field intensity is the most important factor for changing the value of the wave frequency and phase velocity. Besides, results show by enhancing the core-to-top layer thickness ratio, the wave frequencies reduce because magneto-rheological fluid core is softer in comparison to elastic layers. Therefore, magneto-rheological fluid layer operates similar to a damper. At the end, the influence of the thickness of magneto-rheological fluid core on the phase velocity is also discussed.

这项研究提出了具有可调磁流变流体芯的矩形夹心复合板的波传播研究。该矩形夹心复合板的组成部分是基础层，磁流变液芯和限制层。磁流变流体核心嵌入在基础层和限制层内。而且，上层和下层由弹性材料制成。为了获得运动的控制方程，使用了汉密尔顿原理和经典板理论。此后，通过应用解析解，可以通过求解特征值问题来获得传播波的波频率和相速度。通过研究磁场的影响，结果表明，磁场强度是改变波频率和相速度值的最重要因素。此外，结果表明，通过提高芯层与顶层的厚度比，波频率降低，因为与弹性层相比，磁流变液芯更软。因此，磁流变流体层的作用类似于阻尼器。最后，讨论了磁流变液芯厚度对相速度的影响。