Background: Magnetorheological and electrorheological materials show variations in their rheological properties when subjected to magnetic and electric fields. We analyzed the vibration control behavior of a sandwich panel with elastic face sheets and an electrorheological or magnetorheological fluid core, using an improved higher-order theory. The theory was applied to the analysis of the structure's components as a combination of exponential, trigonometric, and polynomial functions. The core's flexibility was analyzed based on Frostig's second model, which has attracted material science researchers’ attention. Methods: Using the new theory, we analyzed the transverse shear and rotary inertia effects of the cover sheets. The governing equations and boundary conditions were derived by Hamilton's principle. The natural frequencies and loss factors were derived by solving the eigenvalue problem. The effects of changing the geometric parameters, the thickness of the magnetorheological or electrorheological layer, and thickness ratios on the vibration behavior of the panel were determined. Results: The panel's natural frequencies increased when the magnetic or electric field strength, and the panel's aspect ratio increased. It decreased when the core to panel thickness ratio increased. The magnetorheological material showed higher strength and lower sensitivity to external impurities than did the electrorheological material. Conclusions: We conclude that the magnetorheological materials minimize the structure's vibration at high-frequency operation, and the electrorheological materials are optimal for minimizing the structure's vibration at lower frequency operation. The findings of this study are useful to better understand the vibration behavior of sandwich panels with laminates under free vibration conditions.

背景：当受到磁场和电场作用时，磁流变和电流变材料的流变特性会发生变化。我们使用改进的高阶理论分析了具有弹性面板和电流变或磁流变液芯的夹层板的振动控制行为。该理论作为指数函数、三角函数和多项式函数的组合应用于结构组件的分析。基于 Frostig 的第二个模型分析了核心的灵活性，这引起了材料科学研究人员的关注。方法：使用新理论，我们分析了盖板的横向剪切和旋转惯性效应。控制方程和边界条件由哈密顿原理推导出来。通过求解特征值问题推导出固有频率和损耗因子。确定了改变几何参数、磁流变或电流变层的厚度以及厚度比对面板振动行为的影响。结果：随着磁场或电场强度的增加，面板的固有频率增加，面板的纵横比增加。当芯板厚度比增加时，它减小。与电流变材料相比，磁流变材料表现出更高的强度和对外部杂质的较低敏感性。结论：我们得出结论，磁流变材料在高频操作时可最大限度地减少结构的振动，而电流变材料对于在低频操作时使结构的振动最小化是最佳的。这项研究的结果有助于更好地了解夹层板在自由振动条件下的振动行为。