A three variable refined shear deformation theory for porous functionally graded doubly curved shell analysis

2019 ◽  
Vol 94 ◽  
pp. 105356 ◽  
Author(s):  
Minh-Chien Trinh ◽  
Seung-Eock Kim
Keyword(s):  
Shear Deformation ◽  
Deformation Theory ◽  
Shear Deformation Theory ◽  
Functionally Graded ◽  
Shell Analysis ◽  
Refined Shear Deformation Theory ◽  
Doubly Curved

scholarly journals Application of First-order Shear Deformation Theory on Vibration Analysis of Stepped Functionally Graded Paraboloidal Shell with General Edge Constraints

Materials ◽  
2018 ◽  
Vol 12 (1) ◽  
pp. 69 ◽  
Author(s):  
Fuzhen Pang ◽  
Haichao Li ◽  
Fengmei Jing ◽  
Yuan Du
Keyword(s):  
Shear Deformation ◽  
Deformation Theory ◽  
Jacobi Polynomials ◽  
Shear Deformation Theory ◽  
Functionally Graded ◽  
Good Convergence ◽  
First Order ◽  
Edge Conditions ◽  
Doubly Curved ◽  
Paraboloidal Shell

The paper introduces a semi-analytical approach to analyze free vibration characteristics of stepped functionally graded (FG) paraboloidal shell with general edge conditions. The analytical model is established based on multi-segment partitioning strategy and first-order shear deformation theory. The displacement components along axial direction are represented by Jacobi polynomials, and the Fourier series are utilized to express displacement components in circumferential direction. Based on penalty method about spring stiffness technique, the general edge conditions of doubly curved paraboloidal shell can be easily simulated. The solutions about doubly curved paraboloidal shell were solved by approach of Rayleigh–Ritz. Convergence study about boundary parameters, Jacobi parameters et al. are carried out, respectively. The comparison with published literatures, FEM and experiment results show that the present method has good convergence ability and excellent accuracy.

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