Abstract

In the present study, based on 12-unknown higher order shear deformation theory (HSDT), buckling and vibration analysis of FG-CNTRC rectangular plate are investigated for various types of temperature distribution and boundary conditions. Implementing Hamilton’s principle, the equations of motion are derived and solved by adopting the Navier solution for the simply supported boundary conditions and DQM method for other boundary conditions. Validation is carried out by comparing the numerical results with those obtained in the open literature. Also, a detailed parametric analysis is carried out to illuminate the influence of different system parameters such as CNT distributions, CNT volume fraction, aspect ratio, and temperature gradients on the buckling and vibrational behavior of the plate. The material properties of the CNTRC plate are computed via the extended rule of mixture. It is demonstrated that in the case of sinusoidal temperature rise, the non-dimensional fundamental frequency of the system has the greatest value in comparison with other various patterns of temperature alteration. It is concluded that the FG-X pattern of CNT distribution, as well as increasing CNT volume fraction, lead to an increase in the buckling strength of the FG-CNTRC plate.

摘要

在本研究中，基于 12-未知高阶剪切变形理论 (HSDT)，研究了 FG-CNTRC 矩形板在各种温度分布和边界条件下的屈曲和振动分析。应用Hamilton原理，对简支边界条件采用Navier解，对其他边界条件采用DQM方法，推导求解运动方程组。通过将数值结果与公开文献中获得的结果进行比较来进行验证。此外，还进行了详细的参数分析，以阐明不同系统参数（例如 CNT 分布、CNT 体积分数、纵横比和温度梯度）对板的屈曲和振动行为的影响。CNTRC 板的材料特性是通过混合扩展规则计算的。结果表明，在正弦温升的情况下，与其他各种温度变化模式相比，系统的无量纲基频具有最大值。得出的结论是，CNT 分布的 FG-X 模式以及增加的 CNT 体积分数导致 FG-CNTRC 板的屈曲强度增加。