Natural vibrations of a cylindrical panel attached to an elastic foundation

1968 ◽  
Vol 4 (5) ◽  
pp. 52-56
Author(s):  
B. A. Korbut ◽  
A. M. Il'ina
Keyword(s):  
Elastic Foundation ◽  
Cylindrical Panel ◽  
Natural Vibrations

Natural vibrations of an orthotropic cylindrical panel connected to circular ribs by glue

1977 ◽  
Vol 12 (6) ◽  
pp. 977-979
Author(s):  
I. S. Malyutin ◽  
A. A. Bagdasar'yan
Keyword(s):  
Cylindrical Panel ◽  
Natural Vibrations

Forced vibrations of an elongated cylindrical panel on a unilateral elastic foundation

1985 ◽  
Vol 21 (8) ◽  
pp. 768-772
Author(s):  
V. A. Bazhenov ◽  
E. A. Gotsulyak ◽  
V. I. Gulyaev ◽  
G. S. Kondakov
Keyword(s):  
Elastic Foundation ◽  
Cylindrical Panel ◽  
Forced Vibrations

Geometrically nonlinear buckling analysis of functionally graded carbon nanotube reinforced cylindrical panels resting on Winkler–Pasternak elastic foundation

2018 ◽  
Vol 233 (2) ◽  
pp. 702-712
Author(s):  
Pham Toan Thang
Keyword(s):  
Carbon Nanotubes ◽  
Carbon Nanotube ◽  
Elastic Foundation ◽  
Cylindrical Panel ◽  
Functionally Graded ◽  
Geometrically Nonlinear ◽  
Nonlinear Buckling ◽  
Pasternak Elastic Foundation ◽  
Cylindrical Panels ◽  
Nonlinear Buckling Analysis

This paper deals with geometrically nonlinear buckling analysis of functionally graded carbon nanotube reinforced (FG-CNTR) cylindrical panels. The FG-CNTR cylindrical panel is assumed to be rested on the Winkler–Pasternak elastic foundation and subjected to uniform pressure. In the FG-CNTR cylindrical panel model, uniform and three distributions of carbon nanotubes, which are graded in the thickness direction of the panel, are considered. Effective properties of materials of the panels reinforced by single-walled carbon nanotubes are estimated through a micromechanical model based on the extended rule of mixtures. Governing equilibrium equations of the FG-CNTRC cylindrical panel are obtained based on the classical shell theory and considering the von Karman geometrically nonlinearity and initial geometric imperfection. A closed form of the resulting stability equations is established via the Galekin procedure to obtain the buckling load–deflection relations in case of simply supported boundary condition. In the numerical results section, the exactness of formulation is validated by comparing the obtained results with those reported in the open database. Then, a comprehensive investigation into the influence of carbon nanotube volume fraction, carbon nanotube distribution rule, imperfection parameter, elastic foundation as well as the geometry parameters on the nonlinear buckling behaviors of the FG-CNTRC cylindrical panels is discussed in detail.

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