Nonlinear dynamic response and dynamic buckling of shallow spherical shells with circular hole

1992 ◽  
Vol 13 (2) ◽  
pp. 159-171 ◽  
Author(s):  
Fu Yi-ming ◽  
Liu Xiao-hu
Keyword(s):  
Dynamic Response ◽  
Circular Hole ◽  
Nonlinear Dynamic ◽  
Dynamic Buckling ◽  
Spherical Shells ◽  
Nonlinear Dynamic Response

scholarly journals Nonlinear Dynamic Response of Nano-composite Sandwich Annular Spherical Shells

2019 ◽  
Vol 35 (3) ◽  
Author(s):  
Nguyen Dinh Duc ◽  
Vu Thi Thuy Anh ◽  
Vu Thi Huong ◽  
Vu Dinh Quang ◽  
Pham Dinh Nguyen
Keyword(s):  
Dynamic Response ◽  
Nonlinear Dynamic ◽  
Functionally Graded ◽  
Geometrical Parameters ◽  
Spherical Shells ◽  
Theoretical Formulation ◽  
Nonlinear Dynamic Response ◽  
Composite Sandwich ◽  
Reinforced Composite ◽  
Classical Shell Theory

Abstract: In this research, the nonlinear dynamic response of functionally graded carbon nanotube reinforced composite (FG-CNTRC) sandwich annular spherical shells supported by Pasternak’ foundation is considered by using the analytical approach. Unlike existing works, the structure has three layers: FG-CNTRC layer – homogeneous core – FG-CNTRC layer. Several examples are considered to analyse the behaviour of this sandwich-structured composite. The classical shell theory (CST) is used to derive theoretical formulation delineating nonlinear dynamic response of FG-CNTRC sandwich annular spherical shells. The numerical results explain the effect of material, geometrical parameters, and elastic foundations on the nonlinear dynamic response of the annular spherical shell.  

Nonlinear Dynamic Buckling for Truncated Sandwich Shallow Conical Shell Structure Subjected to Pulse Impact

2012 ◽  
Vol 252 ◽  
pp. 93-97 ◽  
Author(s):  
Ming Qiao Tang ◽  
Jia Chu Xu
Keyword(s):  
Shell Structure ◽  
Conical Shell ◽  
Nonlinear Dynamic ◽  
Dynamic Buckling ◽  
Physical Parameters ◽  
Kutta Method ◽  
Spherical Shells ◽  
Nonlinear Dynamic Response ◽  
Shallow Conical Shell ◽  
Runge Kutta Method

Nonlinear dynamic buckling for sandwich shallow conical shell structure under uniform triangular pulse is investigated. Based on the Reissner’s assumption and Hamiton’s principle, the nonlinear dynamic governing equation of sandwich shallow spherical shells is derived. The corresponding nonlinear dynamic response equations are obtained by Galerkin method and solved by Runge-Kutta method. Budiansky-Roth criterion expressed by displacements of rigid center is employed to determine the critical impact bucking load. The effects of geometric parameters and physical parameters on impact buckling are discussed.

Nonlinear Dynamic Buckling of FGM Shallow Conical Shells under Triangular Pulse Impact Loads

2012 ◽  
Vol 460 ◽  
pp. 119-126
Author(s):  
Jie Lin ◽  
Chao Deng ◽  
Jia Chu Xu
Keyword(s):  
Dynamic Response ◽  
Governing Equation ◽  
Nonlinear Dynamic ◽  
Dynamic Buckling ◽  
Impact Loads ◽  
Nonlinear Dynamic Response ◽  
Conical Shells ◽  
Triangular Pulse ◽  
Response Equation ◽  
The Impact

In this paper, nonlinear dynamic buckling of FGM shallow conical shells under the action of triangular pulse impact loads are investigated. The nonlinear dynamic governing equation of symmetrically FGM shallow conical shells is built. Using Galerkin method, the nonlinear dynamic governing equation is solved, and the nonlinear dynamic response equation of symmetrically FGM shallow conical shells is obtained. The Runge-Kutta method is introduced to numerically solve the nonlinear dynamic response equation and the impact response curve is achieved. Budiansky-Roth motion criterion expressed by the displacement of the peak of the shell is employed to determine the critical impact buckling load. The influences of geometric parameters and gradient constants on impact buckling are discussed as well.

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