Abstract

In the present study, by using a higher-order shear deformation plate theory (HSDT) and considering the second model proposed by Frostig and Thomsen, Dynamic instability, static buckling, and free vibration of the Magneto-Rheological (MR) fluid sandwich plates subjected to an axial periodic force is investigated. MR fluids are a group of smart materials whose rheological properties change rapidly with the application of a magnetic field. The upper and lower layers of the core (face layers) are selected from two different types. In the first group, they are made of functionally graded materials (FGMs), and the second group, consists of a matrix phase reinforced with carbon nanotubes (CNTs). The mechanical properties of the nanocomposite are considered in accordance with the extended rule of mixtures. The governing equations are derived using Hamilton’s principle and discretized by the finite strip method. The results obtained from the finite strip method are compared with the results of available literature. The impact of various parameters such as magnetic field intensity, core thickness, static and dynamic load factors, different boundary conditions, and the CNT distribution on the critical static buckling, natural frequency, and instability zone of the structure are investigated. The results show that increasing the MR fluid thickness has a stabilizing effect on the dynamic instability of the MR fluid sandwich plates.

摘要

在本研究中，通过使用高阶剪切变形板理论（HSDT）并考虑 Frostig 和 Thomsen 提出的第二个模型，研究了磁流变（MR）流体夹层板的动态失稳、静态屈曲和自由振动。研究了轴向周期性力。磁流变流体是一组智能材料，其流变特性随着磁场的应用而迅速变化。芯层的上层和下层（面层）有两种不同的类型可供选择。在第一组中，它们由功能梯度材料（FGM）制成，第二组由碳纳米管（CNT）增强的基体相组成。纳米复合材料的力学性能根据混合物的扩展规则来考虑。利用哈密顿原理推导了控制方程，并采用有限条法进行离散化。将有限条法获得的结果与现有文献的结果进行了比较。研究了磁场强度、磁芯厚度、静态和动态载荷系数、不同边界条件以及碳纳米管分布等各种参数对结构的临界静态屈曲、固有频率和不稳定区域的影响。结果表明，增加磁流变液厚度对磁流变液夹层板的动态不稳定性有稳定作用。研究了磁场强度、磁芯厚度、静态和动态载荷系数、不同边界条件以及碳纳米管分布等各种参数对结构的临界静态屈曲、固有频率和不稳定区域的影响。结果表明，增加磁流变液厚度对磁流变液夹层板的动态不稳定性有稳定作用。研究了磁场强度、磁芯厚度、静态和动态载荷系数、不同边界条件以及碳纳米管分布等各种参数对结构的临界静态屈曲、固有频率和不稳定区域的影响。结果表明，增加磁流变液厚度对磁流变液夹层板的动态不稳定性有稳定作用。