Dynamic buckling analyses of functionally graded carbon nanotubes reinforced composite (FG-CNTRC) cylindrical shell under axial power-law time-varying displacement load

Abstract

Abstract In this paper, a semi-analytical approach is proposed to investigate the dynamic buckling behavior of functionally graded carbon nanotubes reinforced composite (FG-CNTRC) cylindrical shell under dynamic displacement load. Five types of carbon nanotubes (CNTs) distribution are considered, in which the uncertainty of CNTs distribution is also taken into account. Combining with the first-order shear deformation theory and von-Karman strains, the nonlinear governing equations for dynamic buckling analysis of FG-CNTRC cylindrical shell considering the thermal effects are derived. Then, Galerkin method and the fourth-order Runge-Kutta method are employed to solve the governing equations. And the dynamic critical buckling condition of FG-CNTRC cylindrical shell is determined by the Budiansky-Roth criterion. Compared with the published literatures, the feasibility and accuracy of proposed analysis approach are validated. Finally, the parametric studies are systematically carried out to analyze the effects of CNTs distribution type, CNTs volume fractions, the uncertainty of CNTs distribution, the loading rate and form of dynamic displacement load, structural characteristics and temperature on the dynamic buckling behavior of FG-CNTRC cylindrical shell.