Nonlinear static and dynamic stability of functionally graded toroidal shell segments under axial compression

2020 ◽  
Vol 155 ◽  
pp. 106973 ◽  
Author(s):  
Pham Minh Vuong ◽  
Nguyen Dinh Duc
Keyword(s):  
Dynamic Stability ◽  
Axial Compression ◽  
Functionally Graded ◽  
Toroidal Shell ◽  
Static And Dynamic Stability ◽  
Nonlinear Static

Nonlinear Static and Dynamic Buckling Analyses of Imperfect FGP Cylindrical Shells Resting on Nonlinear Elastic Foundation Under Axial Compression

2020 ◽  
Vol 20 (07) ◽  
pp. 2050074
Author(s):  
Kamran Foroutan ◽  
Habib Ahmadi
Keyword(s):  
Elastic Foundation ◽  
Axial Compression ◽  
Cylindrical Shells ◽  
Dynamic Buckling ◽  
Functionally Graded ◽  
Porosity Distribution ◽  
Nonlinear Elastic Foundation ◽  
Special Cases ◽  
Nonlinear Static ◽  
Nonlinear Elastic

In this paper, semi-analytical and analytical methods for the nonlinear static and dynamic buckling analyses of imperfect functionally graded porous (FGP) cylindrical shells subjected to axial compression are presented. The structure is embedded within a generalized nonlinear elastic foundation, treated as a two-parameter Winkler–Pasternak foundation augmented by a nonlinear cubic stiffness. The material property of the shell changes continuously through the thickness. Two types of FGP distributions, i.e. uniform porosity distribution (UPD) and nonuniform porosity distribution (NPD), are considered. By applying the Galerkin’s method to the von Kármán equations, the buckling of the shells was solved. The fourth-order Runge–Kutta method is utilized to obtain the responses of nonlinear dynamic buckling (NDB). The results obtained for some special cases are compared with those available elsewhere. The effects of various geometrical properties, material parameters and elastic foundation coefficients are investigated on the nonlinear static buckling (NSB) and dynamic buckling (DB) analyses of the shells. It was shown that various types of porosity, imperfection and the elastic foundation parameters have a strong effect on the buckling behaviors of the FGP cylindrical shells.

Nonlinear dynamic stability of an imperfect shear deformable orthotropic functionally graded material toroidal shell segments under the longitudinal constant velocity

2019 ◽  
Vol 233 (19-20) ◽  
pp. 6827-6850 ◽  
Author(s):  
Ahmed Y Ali ◽  
Hamad M Hasan
Keyword(s):  
Shear Deformation ◽  
Dynamic Stability ◽  
Nonlinear Dynamic ◽  
Deformation Theory ◽  
Shear Deformation Theory ◽  
Dynamic Buckling ◽  
Functionally Graded ◽  
Toroidal Shell ◽  
Geometrical Parameters ◽  
Nonlinear Dynamic Stability

This study investigates the nonlinear dynamic buckling of the exponentially functionally graded orthotropic toroidal shell segments under constant loading rates under the shear deformation theory with the damping influence. The properties of the shell material are assumed to be graded according to the exponential distribution function through the shell thickness direction. The shear deformation theory with von Karman nonlinearity, Stein and McElman assumption, initial imperfection, and damping effect are adopted to create the theoretical formulations. Nonlinear dynamic stability equation is solved using Galerkin's procedure and the fourth-order Runge–Kutta technique. The dynamic buckling loads are evaluated by using Budiansky–Roth criterion. Moreover, different parameter influences such as geometrical parameters, velocity, imperfections, damping ratios, and nonhomogeneous parameters on the dynamic buckling are examined in detail. The obtained results are validated with the previous publications and the good agreements are shown.

Dynamic stability/instability simulation of the rotary size-dependent functionally graded microsystem

2021 ◽  
Author(s):  
Xiaoping Huang ◽  
Huadong Hao ◽  
Khaled Oslub ◽  
Mostafa Habibi ◽  
Abdelouahed Tounsi
Keyword(s):  
Dynamic Stability ◽  
Functionally Graded ◽  
Size Dependent

Difference in static and dynamic stability between flexible flatfeet and neutral feet

2015 ◽  
Vol 41 (2) ◽  
pp. 546-550 ◽  
Author(s):  
Jeong-ah Kim ◽  
One-bin Lim ◽  
Chung-hwi Yi
Keyword(s):  
Dynamic Stability ◽  
Static And Dynamic Stability
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