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چکیده
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This study introduces an advanced analytical-numerical framework to examine the free vibration characteristics of a rotating auxetic sandwich annular plate, featuring three-phase nanocomposite face sheets supported by a Kerr-type elastic foundation. A sophisticated zig-zag displacement theory is utilized to accurately represent interlaminar kinematics and transverse shear effects, while the Generalized Differential Quadrature Method (GDQM) provides an efficient and precise numerical solution to the governing equations across diverse boundary conditions. The suggested formulation takes into account the effects of rotation, non-uniform radial loading, auxetic core geometry, and nanocomposite material gradation all at once. This makes it a single, efficient way to model the dynamics of multifunctional rotating structures. The findings indicate that the auxetic core substantially improves vibration suppression via its negative Poisson’s ratio mechanism, whereas the nanocomposite face sheets enhance stiffness and stability without augmenting structural weight. Also, the Kerr foundation parameters, especially the shear stiffness, are very important for adjusting the frequency response. The model shows that the best angle for auxetic cells (30°–45°) and the best ratio of fibers to interphases are the ones that give the most dynamic stiffness. The suggested method is a powerful way to predict how to design lightweight, high-speed rotating parts like aerospace panels, turbomachinery blades, and adaptive metamaterial-based structures that need stiffness, stability, and vibration control all at the same time.
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