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

•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 hygrotherma...

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Bibliographic Details
Published in:Applied Mathematical Modelling 2020-01, Vol.77, p.539-553
Main Authors: Foroutan, Kamran, Shaterzadeh, Alireza, Ahmadi, Habib
Format: Article
Language:English
Subjects:
Buckling
Cylindrical shells
Dynamical systems
FGP cylindrical shells
Functionally gradient materials
Galerkin method
Hygrothermal loading
Imperfection
Mathematical analysis
Nonlinear dynamic buckling
Nonlinear dynamics
Nonlinear static buckling
Nonlinearity
Runge-Kutta method
Shells
Vibration control
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Summary:•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.
ISSN:0307-904X
1088-8691
0307-904X
DOI:10.1016/j.apm.2019.07.062