The main purpose of this study is to compare the effects of two advanced materials, namely shape memory alloys (SMAs) and carbon nanotubes (CNTs) on the fundamental natural frequencies of rectangular graphite fiber/epoxy (GF/EP) composite plates. The performance of each of these materials is evaluated for different geometric conditions and boundary conditions as well as operating temperatures. Moreover, the glass transition temperature is considered as a limiting factor in the study. The governing equations are derived based on first-order shear deformation theory (FSDT) and then solved by generalized differential quadrature (GDQ) technique. The effective thickness-to-width ratio and temperature ranges are determined for both SMA wires and CNTs. The results of this study show that in some conditions, the use of CNTs is preferable over SMA wires and vice versa. Moreover, unlike SMA wires, the positive effect of the CNTs is limited to a certain extent. Furthermore, the numerical results indicate that depending on the different parameters, the use of SMAs may have constructive or destructive effects on the structural vibrations. Interestingly, it is shown that in some circumstances, the co-incorporation of SMAs and CNTs leads to a significant enhancement in the natural frequencies of the structure.

本研究的主要目的是比较两种先进材料，即形状记忆合金（SMA）和碳纳米管（CNT）对矩形石墨纤维/环氧树脂（GF/EP）复合板的基本固有频率的影响。每种材料的性能都针对不同的几何条件和边界条件以及工作温度进行了评估。此外，玻璃化转变温度被认为是研究中的一个限制因素。基于一阶剪切变形理论（FSDT）推导出控制方程，然后通过广义微分求积（GDQ）技术求解。确定 SMA 线和 CNT 的有效厚宽比和温度范围。本研究结果表明，在某些情况下，使用 CNT 优于 SMA 线，反之亦然。此外，与 SMA 线不同，碳纳米管的积极作用在一定程度上受到限制。此外，数值结果表明，根据不同的参数，SMA 的使用可能对结构振动产生建设性或破坏性影响。有趣的是，研究表明，在某些情况下，SMA 和 CNT 的共同掺入导致结构的固有频率显着增强。