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چکیده
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This study develops a comprehensive thermo-mechanical vibration model for rotating sandwich annular plates composed of nanocomposite facesheets and honeycomb core, supported by Kerr elastic foundation. The equations are derived using advanced zig-zag displacement theory combined with Hamilton’s principle, enabling accurate representation of interlaminar shear deformation and layerwise slope discontinuities without requiring shear-correction factors. To solve the coupled equations with high numerical stability and efficiency, the generalized differential quadrature method (GDQM) is employed. Temperature-dependent behavior of the honeycomb core and nanocomposite skins is incorporated through a modified Williams–Landel–Ferry model, allowing reliable prediction of stiffness variations under thermal loading. Additionally, an extended Mori–Tanaka scheme captures the influence of fiber agglomeration, illustrating how nonuniform nanoparticle dispersion alters effective elastic response. Parametric studies demonstrate that frequencies are sensitive to the foundation stiffness, core geometry, agglomeration intensity, and rotation speed. The results show that selecting appropriate Kerr foundation stiffness and optimizing core–face configurations can significantly enhance vibration resistance while reducing material usage. The proposed zig-zag–GDQM framework offers a versatile and computationally efficient tool for predicting the thermo-vibrational behavior of advanced rotating sandwich structures, supporting improved design of aerospace, mechanical, and energy systems requiring lightweight construction, vibration stability, and thermal reliability.
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