Free vibration of two-side simply-supported laminated cylindrical panels via the mesh-free kp-Ritz method

2004 ◽  
Vol 46 (1) ◽  
pp. 123-142 ◽  
Author(s):  
X. Zhao ◽  
T.Y. Ng ◽  
K.M. Liew
Keyword(s):  
Free Vibration ◽  
Ritz Method ◽  
Simply Supported ◽  
Mesh Free ◽  
Cylindrical Panels

Effect of Ring Support Position and Geometrical Dimension on the Free Vibration of Ring-Stiffened Cylindrical Shells

2014 ◽  
Vol 580-583 ◽  
pp. 2879-2882
Author(s):  
Xiao Wan Liu ◽  
Bin Liang
Keyword(s):  
Cylindrical Shell ◽  
Free Vibration ◽  
Shell Theory ◽  
Cylindrical Shells ◽  
Ritz Method ◽  
Geometrical Dimension ◽  
Stiffened Cylindrical Shell ◽  
Simply Supported ◽  
Ring Support ◽  
Stiffened Cylindrical Shells

Effect of ring support position and geometrical dimension on the free vibration of ring-stiffened cylindrical shells is studied in this paper. The study is carried out by using Sanders shell theory. Based on the Rayleigh-Ritz method, the shell eigenvalue governing equation is derived. The present analysis is validated by comparing results with those in the literature. The vibration characteristics are obtained investigating two different boundary conditions with simply supported-simply supported and clamped-free as the examples. Key Words: Ring-stiffened cylindrical shell; Free vibration; Rayleigh-Ritz method.

Free vibration of functionally graded carbon nanotube reinforced composite cylindrical panels with general elastic supports

2018 ◽  
Vol 5 (1) ◽  
pp. 95-115
Author(s):  
Fei Xie ◽  
Jinyuan Tang ◽  
Ailun Wang ◽  
Cijun Shuai ◽  
Qingshan Wang
Keyword(s):  
Carbon Nanotube ◽  
Free Vibration ◽  
Volume Fraction ◽  
Ritz Method ◽  
Functionally Graded ◽  
Elastic Supports ◽  
Various Boundary Conditions ◽  
Reinforced Composite ◽  
Cylindrical Panels ◽  
Classical Boundary

Abstract In this paper, a unified solution for vibration analysis of the functionally graded carbon nanotube reinforced composite (FG-CNTRC) cylindrical panels with general elastic supports is carried out via using the Ritz method. The excellent accuracy and reliability of the present method are compared with the results of the classical boundary cases found in the literature. New results are given for vibration characteristics of FG-CNTRC cylindrical panels with various boundary conditions. The effects of the elastic restraint parameters, thickness, subtended angle and volume fraction of carbon nanotubes on the free vibration characteristic of the cylindrical panels are also reported.

Design of Composite Cylindrical Panels for Maximum Axial and Shear Buckling Capacity

1991 ◽  
Vol 113 (3) ◽  
pp. 204-209 ◽  
Author(s):  
N. Kumar ◽  
T. R. Tauchert
Keyword(s):  
Composite Material ◽  
Nonlinear Programming ◽  
Aspect Ratio ◽  
Ritz Method ◽  
Cylindrical Panel ◽  
Geometrical Parameters ◽  
Simply Supported ◽  
Design Variables ◽  
Cylindrical Panels ◽  
Shear Buckling

Response of a cylindrical panel made of layers of composite material and subjected to in-plane loads is investigated. Prebuckling deformations are determined for antisymmetric angle-ply and cross-ply panels having simply supported boundary conditions. Buckling solutions are obtained via the Rayleigh-Ritz method. Nonlinear programming is used to optimize the designs. Design variables are taken as fiber orientations and/or thicknesses of different layers. Numerical results are presented for different materials and different geometrical parameters, including aspect ratio and curvature-to-length ratio.

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