Size-dependent dynamic stability of nanocomposite enriched micro-shell panels in thermal environment using the modified couple stress theory

This work aims to evaluate dynamic stability of micro-shell panels enriched by nanocomposites based on an analytical approach. In order to capture the effects of size on the mechanical behaviour of the micro-shell panels, the modified couple stress theory is employed which uses the material length scale parameter. The fundamental equations incorporating kinematic, constitutive, equilibrium and compatibility equations, are developed based on the first-order shear deformation theory (FSDT) which supports analysis of thin and moderately thick microshells. The extended fundamental differential equations are solved by the Galerkin method which results a closed-form solution for evaluating the dynamic stability of the proposed micro-shell panels. Then, some comparative studies are conducted to validate accuracy of the proposed method. Finally, by performing an extended parametric study, effects of the material length scale parameter on the dynamic stability of the proposed micro-shell panels are investigated.