Dynamic analysis of annular sector plate with general boundary supports

2013 ◽  
Author(s):  
Dongyan Shi ◽  
Xianjie Shi ◽  
Wen Li ◽  
Qingshan Wang
Keyword(s):  
Dynamic Analysis ◽  
General Boundary ◽  
Annular Sector ◽  
Sector Plate ◽  
Annular Sector Plate

Dynamic analysis of annular sector plate with general boundary supports

2013 ◽  
Vol 133 (5) ◽  
pp. 3562-3562
Author(s):  
Dongyan Shi ◽  
Xianjie Shi ◽  
Wen L. Li ◽  
Qingshan Wang
Keyword(s):  
Dynamic Analysis ◽  
General Boundary ◽  
Annular Sector ◽  
Sector Plate ◽  
Annular Sector Plate

scholarly journals Free Vibration Of Functionally Graded Carbon Nanotube Reinforced Composite Annular Sector Plate With General Boundary Supports

2018 ◽  
Vol 5 (1) ◽  
pp. 49-67 ◽  
Author(s):  
Fuzhen Pang ◽  
Haichao Li ◽  
Yuan Du ◽  
Yanhe Shan ◽  
Fang Ji
Keyword(s):  
Carbon Nanotube ◽  
Free Vibration ◽  
Ritz Method ◽  
Admissible Function ◽  
Functionally Graded ◽  
General Boundary ◽  
Reinforced Composite ◽  
Annular Sector ◽  
Sector Plate ◽  
Annular Sector Plate

Abstract In this paper, an efficient and unified approach for free vibration analysis of the moderately thick functionally graded carbon nanotube reinforced composite annular sector plate with general boundary supports is presented by using the Ritz method and the first-order shear deformation theory. For the distribution of the carbon nanotubes in thickness direction, it may be uniform or functionally graded. Properties of the composite media are based on a refined rule of the mixture approach which contains the efficiency parameters. A modified Fourier series is chosen as the basic function of the admissible function to eliminate all the relevant discontinuities of the displacements and their derivatives at the edges. To establish the general boundary supports of the annular sector plate, the artificial spring boundary technique is implemented at all edges. The desired solutions are obtained through the Ritz-variational energy method. Some numerical examples are considered to check the accuracy, convergence and reliability of the present method. In addition, the parameter studies of the functionally graded carbon nanotube reinforced composite annular sector plate are carried out as well.

Buckling analysis of functionally graded annular sector plates resting on elastic foundations

2010 ◽  
Vol 225 (2) ◽  
pp. 312-325 ◽  
Author(s):  
A Naderi ◽  
A R Saidi
Keyword(s):  
Boundary Conditions ◽  
Elastic Foundation ◽  
Buckling Analysis ◽  
Functionally Graded ◽  
Buckling Load ◽  
Critical Buckling Load ◽  
Elastic Foundations ◽  
Annular Sector ◽  
Sector Plate ◽  
Annular Sector Plate

In this study, an analytical solution for the buckling of a functionally graded annular sector plate resting on an elastic foundation is presented. The buckling analysis of the functionally graded annular sector plate is investigated for two typical, Winkler and Pasternak, elastic foundations. The equilibrium and stability equations are derived according to the Kirchhoff's plate theory using the energy method. In order to decouple the highly coupled stability equations, two new functions are introduced. The decoupled equations are solved analytically for a plate having simply supported boundary conditions on two radial edges. Satisfying the boundary conditions on the circular edges of the plate yields an eigenvalue problem for finding the critical buckling load. Extensive results pertaining to critical buckling load are presented and the effects of boundary conditions, volume fraction, annularity, plate thickness, and elastic foundation are studied.

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