Nonlinear static and dynamic hygrothermal buckling analysis of imperfect functionally graded porous cylindrical shells

Abstract

• The material distributions of cylindrical shell are considered to functionally graded porous (FGP). • Increasing the porosity coefficients leads to decreasing the static hygrothermal buckling response. • Increasing the porosity coefficients leads to increasing the critical nonlinear dynamic hygrothermal buckling response. • The nonlinear hygrothermal buckling analysis FGP cylindrical shells has been not investigated, yet. This paper investigates the analytical and semi-analytical approaches for the nonlinear dynamic and static hygrothermal buckling analysis of imperfect functionally graded porous (FGP) cylindrical shells under hygrothermal loading. Effect of the von Kármán strain-displacement kinematic nonlinearity is included in the constitutive laws of the shell. Utilizing the Galerkin method, the nonlinear vibration problem has been solved. The fourth-order Runge–Kutta method is used to find the nonlinear dynamic hygrothermal buckling responses. To validate the results, comparisons are made with the available solutions for both nonlinear dynamic and static hygrothermal buckling of cylindrical shells. The effect of material parameters and various geometrical characteristics on the nonlinear dynamic and static hygrothermal buckling behavior of the system is investigated.