A closed-form solution for asymmetric free vibration analysis of composite cylindrical shells with metamaterial honeycomb core layer based on shear deformation theory

Asymmetric free vibration analysis of composite cylindrical shells with a honeycomb core layer and adjustable Poisson’s ratio is performed analytically in this study. The equations motion which are system coupled partial differential extracted using Hamilton’s principle by employing the first-order shear deformation theory they solved analytically. To study sensitivity results to different parameters structure, geometrical parameters, boundary conditions, parametric presented. It concluded that for auxetic shell negative ratio, decreasing Poisson frequency decreases. Also, it shown weight decreases significantly, while asymmetric will not change remarkably. By adjusting variations studied layer. compared finite element method some other references.