Present manuscript undergoes with the investigation of the wave propagation features of smart magnetostrictive sandwich nanoplates (MSNPs) with regard to the influences of small scale in the context of the so-called nonlocal strain gradient theory (NSGT) of elasticity. The under observation continuous system, i.e. a thin-type one, is modeled via the Kirchhoff-Love theorem incorporated with the dynamic form of the principle of virtual work considering the impacts of both thermal and viscose losses on the dispersion characteristics of the nanostructure. Once the modified size-dependent constitutive equations are inserted into the motion equations, the final governing equations of the problem are attained. Thereafter, an analytical dispersion solution will be employed for the purpose of solving the dynamic problem to extract the wave response of the system. In order to examine the accuracy of the presented results, the natural frequencies obtained from this methodology are compared with those reported in the open literature. According to the presented illustrations, it can be declared that the magnetostriction can affect the dispersion responses of the smart nanoplate in low wave numbers.

在所谓的弹性非局部应变梯度理论（NSGT）的背景下，本手稿就智能磁致伸缩夹层纳米板（MSNP）的小尺寸影响进行了研究。通过基尔霍夫-洛夫定理，结合虚功原理的动态形式，考虑了热损失和粘胶损失对纳米结构分散特性的影响，对连续观测系统（即薄型系统）进行建模。将修改后的尺寸相关本构方程插入运动方程后，即可得出该问题的最终控制方程。之后，为了解决动力学问题以提取系统的波响应，将采用分析色散解决方案。为了检验所给出结果的准确性，将通过这种方法获得的固有频率与公开文献中报道的频率进行了比较。根据给出的图示，可以说磁致伸缩可以影响智能纳米板在低波数下的色散响应。