Recently, nano- and micro air vehicles have been intensely attractive among researchers due to their small size and ultralightweight. Hence, in this article, wave propagation of micro air vehicle wings is studied based on mathematical modeling as the main novelty of this article. In addition, assuming porous functionally graded materials (FGM) and magnetostrictive nanocomposite layers for the wing for improving the stiffness and control of the wave propagation is another important innovation of this study. The effects of size are considered based on strain gradient theory and the Halpin-Tsai model is employed for calculating the effective material characteristic of the magnetostrictive nanocomposite layer. For modeling the structure mathematically, refined zigzag theory (RZT) is used. According to Hamilton's principle, the governing equations are gained and solved by exact solutions for obtaining the phase velocity, cut-off, and escape frequencies. In this novel work, influences of dispersion kinds of GPLs, various core and face sheets thickness, damping of structure, porosity constant, FG index, auxetic honeycombs core characteristics, size parameters, and magnetic field are investigated on wave propagation of the micro air vehicle wings. It is found that by imposing the magnetic field on the magnetostrictive layer, the wave velocity is enhanced.
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