An accurate size-dependent sinusoidal shear deformable framework for GNP-reinforced cylindrical panels: Applications to dynamic stability analysis

In the current work, an accurate modified couple stress-based cylindrical micro-panel model is developed in the framework of sinusoidal shear deformation theory. The classical strain tensors and curvature tensor components in a modified couple stress-based model are given with consideration of the geometric curve of cylindrical panels. In conjunction with a general Lagrange procedure, the proposed model is implemented to derive a system of Mathieu-Hill equations of governing dynamic stability behaviors of the cylindrical micro-panels. The Navier-type solution and Bolotin's method are applied to predict the principle unstable regions of the micro-panels with simply-supported boundary condition. As an application of the proposed model, the size-dependent stability of a functionally graded graphene nanoplatelets reinforced composite (FG-GNPRC) cylindrical micro-panel under axial oscillation compression is investigated for the first time. It is assumed that the weight fraction of graphene nanoplatelets (GNPs) is graded in the panel thickness. The effective Young's modulus of FG-GNPRC is determined based on a modified Halpin-Tsai model, while the mixture rule used to evaluate the effective Poisson's ratio and the mass density. The parameter studies are performed to examine the effect of dimensionless length parameter, GPL distribution patterns, GPL size and shape, length-to-span ratio and radius-to-span ratio on the sizedependent dynamic stabilities of FG-GNPRC cylindrical micro-panels.

Automated summary

In this study, an accurate modified couple stress-based cylindrical micro-panel model is developed within the framework of sinusoidal shear deformation theory. The model considers the geometric curve of cylindrical panels and is used to derive a system of Mathieu-Hill equations governing dynamic stability behaviors. The research investigates the size-dependent stability of functionally graded graphene nanoplatelets reinforced composite cylindrical micro-panels, showing significant influence of parameters such as length-to-span ratio and distribution patterns on stability.