<p>A thermo-magneto-vibrational model is developed for sandwich nanoplates composed of composite metallic–ceramic face sheets and a hexachiral auxetic core. The formulation integrates higher-order shear deformation theory with nonlocal strain gradient theory to incorporate shear–flexural coupling and nanoscale size effects. Present research simultaneously addresses the influence of hexachiral geometry, elastic foundation parameters, magnetic field, and face-sheet composition within a unified framework. The governing equations are derived using Hamilton’s principle and solved through the Navier approach under simply supported boundary conditions. A systematic parametric study is carried out to assess the role of geometric ratios, material gradation, and scale-dependent parameters on vibration and thermal stability. Combining composite layers and core hexachiral auxetic lattice structure with multiphysics fields and nanoscale elasticity, offering a generalized formulation that captures interactions not previously considered together. The outcomes provide a basis for the design of thermally and magnetically durable sandwich nanoplates in aerospace, automotive, acoustic, and protective structural applications.</p>

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Vibration analysis of a hexachiral core and composite sandwich nanoplate resting on Pasternak foundation under magnetic thermal conditions

  • Adem Fatih Ozalp,
  • Ismail Esen

摘要

A thermo-magneto-vibrational model is developed for sandwich nanoplates composed of composite metallic–ceramic face sheets and a hexachiral auxetic core. The formulation integrates higher-order shear deformation theory with nonlocal strain gradient theory to incorporate shear–flexural coupling and nanoscale size effects. Present research simultaneously addresses the influence of hexachiral geometry, elastic foundation parameters, magnetic field, and face-sheet composition within a unified framework. The governing equations are derived using Hamilton’s principle and solved through the Navier approach under simply supported boundary conditions. A systematic parametric study is carried out to assess the role of geometric ratios, material gradation, and scale-dependent parameters on vibration and thermal stability. Combining composite layers and core hexachiral auxetic lattice structure with multiphysics fields and nanoscale elasticity, offering a generalized formulation that captures interactions not previously considered together. The outcomes provide a basis for the design of thermally and magnetically durable sandwich nanoplates in aerospace, automotive, acoustic, and protective structural applications.