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Post-buckling of cylindrical shells with spiral stiffeners under elastic foundation
Alireza Shaterzadeh,Kamran Foroutan 국제구조공학회 2016 Structural Engineering and Mechanics, An Int'l Jou Vol.60 No.4
In this paper, an analytical method for the Post-buckling response of cylindrical shells with spiral stiffeners surrounded by an elastic medium subjected to external pressure is presented. The proposed model is based on two parameters elastic foundation Winkler and Pasternak. The material properties of the shell and stiffeners are assumed to be continuously graded in the thickness direction. According to the Von Karman nonlinear equations and the classical plate theory of shells, strain-displacement relations are obtained. The smeared stiffeners technique and Galerkin method is used to solve the nonlinear problem. To valid the formulations, comparisons are made with the available solutions for nonlinear static buckling of stiffened homogeneous and un-stiffened FGM cylindrical shells. The obtained results show the elastic foundation Winkler on the response of buckling is more effective than the elastic foundation Pasternak. Also the ceramic shells buckling strength higher than the metal shells and minimum critical buckling load is occurred, when both of the stiffeners have angle of thirty degrees.
Foroutan, Kamran,Shaterzadeh, Alireza,Ahmadi, Habib Techno-Press 2018 Structural Engineering and Mechanics, An Int'l Jou Vol.66 No.3
The semi-analytical method to study the nonlinear dynamic behavior of simply supported spiral stiffened functionally graded (FG) cylindrical shells subjected to an axial compression is presented. The FG shell is surrounded by damping and linear/nonlinear elastic foundation. The proposed linear model is based on the two-parameter elastic foundation (Winkler and Pasternak). A three-parameter elastic foundation with hardening/softening cubic nonlinearity is used for nonlinear model. The material properties of the shell and stiffeners are assumed to be FG. Based on the classical plate theory of shells and von $K{\acute{a}}rm{\acute{a}}n$ nonlinear equations, smeared stiffeners technique and Galerkin method, this paper solves the nonlinear vibration problem. The fourth order Runge-Kutta method is used to find the nonlinear dynamic responses. Results are given to consider effects of spiral stiffeners with various angles, elastic foundation and damping coefficients on the nonlinear dynamic response of spiral stiffened simply supported FG cylindrical shells.
Kamran Foroutan,Alireza Shaterzadeh,Habib Ahmadi 국제구조공학회 2018 Structural Engineering and Mechanics, An Int'l Jou Vol.66 No.3
The semi-analytical method to study the nonlinear dynamic behavior of simply supported spiral stiffened functionally graded (FG) cylindrical shells subjected to an axial compression is presented. The FG shell is surrounded by damping and linear/nonlinear elastic foundation. The proposed linear model is based on the two-parameter elastic foundation (Winkler and Pasternak). A three-parameter elastic foundation with hardening/softening cubic nonlinearity is used for nonlinear model. The material properties of the shell and stiffeners are assumed to be FG. Based on the classical plate theory of shells and von Kármán nonlinear equations, smeared stiffeners technique and Galerkin method, this paper solves the nonlinear vibration problem. The fourth order Runge-Kutta method is used to find the nonlinear dynamic responses. Results are given to consider effects of spiral stiffeners with various angles, elastic foundation and damping coefficients on the nonlinear dynamic response of spiral stiffened simply supported FG cylindrical shells.
S. Mahdavia,A.R. Shaterzadeh,M. Jafari 국제구조공학회 2021 Structural Engineering and Mechanics, An Int'l Jou Vol.80 No.1
In this work, the optimization of the effective parameters on the thermal buckling of a square composite plate with various stacking sequence containing quasi- triangular cutout in the center using particle swarm optimization (PSO) to achieve the maximum resistance of plate against thermal buckling load is done. It is assumed that the plate is under a uniform temperature distribution. The stability equations are based on the first order shear deformation theory. The thermal buckling analysis and the PSO algorithm are performed using the code developed in MATLAB software. In this study, the design variables are: fiber angle, bluntness of cutout corners, cutout orientation, and cutout size to plate size ratio, which are determined by using the PSO algorithm to optimize the parameters for the highest critical buckling temperature. The results showed that the plate with a quasi-triangular cutout has more resistance to thermal buckling than the plate with a circular cutout. It was also found that the thermal buckling of a composite plate is dependent on various parameters and the maximum thermal buckling load can be achieved by the appropriate selection of these parameters.
Nonlinear dynamic analysis of spiral stiffened cylindrical shells rested on elastic foundation
Kamran Foroutan,Alireza Shaterzadeh,Habib Ahmadi 국제구조공학회 2019 Steel and Composite Structures, An International J Vol.32 No.4
In this paper, an analytical approach for the free vibration analysis of spiral stiffened functionally graded (SSFG) cylindrical shells is investigated. The SSFG shell is resting on linear and non-linear elastic foundation with damping force. The elastic foundation for the linear model is according to Winkler and Pasternak parameters and for the non-linear model, one cubic term is added. The material constitutive of the stiffeners is continuously changed through the thickness. Using the Galerkin method based on the von Kármán equations and the smeared stiffeners technique, the non-linear vibration problem has been solved. The effects of different geometrical and material parameters on the free vibration response of SSFG cylindrical shells are adopted. The results show that the angles of stiffeners and elastic foundation parameters strongly effect on the natural frequencies of the SSFG cylindrical shell.