Effect of heating on the stability of a circular cylindrical shell in compression beyond the elastic limit

1988 ◽  
Vol 24 (9) ◽  
pp. 872-878
Author(s):  
V. V. Kabanov ◽  
G. I. Kurtsevich
Keyword(s):  
Cylindrical Shell ◽  
Elastic Limit ◽  
Circular Cylindrical Shell ◽  
The Stability

General Instability of a Ring-Stiffened, Circular Cylindrical Shell Under Hydrostatic Pressure

1957 ◽  
Vol 24 (2) ◽  
pp. 269-277
Author(s):  
S. R. Bodner
Keyword(s):  
Cylindrical Shell ◽  
Hydrostatic Pressure ◽  
Differential Equations ◽  
Energy Method ◽  
Circular Cylindrical Shell ◽  
Orthotropic Shell ◽  
Simple Expression ◽  
Isotropic Shell ◽  
Numerical Examples ◽  
The Stability

Abstract The general instability load of a ring-stiffened, circular cylindrical shell under hydrostatic pressure is determined by analyzing an equivalent orthotropic shell. A set of differential equations for the stability of an orthotropic shell is derived and solved for the case of a shell with simple end supports. The solution is presented in terms of parameters of the ring-stiffened, isotropic shell, and a relatively simple expression for the general instability load is obtained. Some numerical examples and graphs of results are presented. In addition, an energy-method solution to the problem is outlined, and the energy and displacement functions that could be used in carrying out a Rayleigh-Ritz approximation are indicated.

scholarly journals Stability Analysis for Equivalent Circular Cylindrical Shell

2022 ◽  
Vol 2160 (1) ◽  
pp. 012037
Author(s):  
Yuying Chen ◽  
Jing Li ◽  
Wei Zhang ◽  
Bin He
Keyword(s):  
Cylindrical Shell ◽  
Nonlinear Dynamic ◽  
Bifurcation Theory ◽  
Circular Cylindrical Shell ◽  
Space Environment ◽  
Satellite Antenna ◽  
Stability And Control ◽  
Large Satellite ◽  
The Stability ◽  
And Control

Abstract Ring truss antenna is an ideal structure for large satellite antenna, which can be equivalent to circular cylindrical shell model. Based on the high-dimensional nonlinear dynamic vibration and bifurcation theory, we focus on the nonlinear dynamic behavior for breathing vibration system of ring truss antenna with internal resonance. The nonlinear transformation and Routh-Hurwitz criterion are used to analyze the stability of equilibrium point after disturbance, and the theoretical analysis is verified by numerical simulation. It provides a reference to ensure the stability and control parameters of satellite antenna in complex space environment.

Buckling of a Cylindrical Shell Subjected to Nonuniform External Pressure

1962 ◽  
Vol 29 (4) ◽  
pp. 675-682 ◽  
Author(s):  
B. O. Almroth
Keyword(s):  
Cylindrical Shell ◽  
Lateral Pressure ◽  
Circular Cylindrical Shell ◽  
External Pressure ◽  
Buckling Analysis ◽  
Graphical Form ◽  
Minimum Potential Energy ◽  
Minimum Potential ◽  
Ritz Procedure ◽  
The Stability

A buckling analysis is presented for a circular cylindrical shell subjected to nonuniform external pressure. The general approach is not restricted with respect to the distribution of the lateral pressure. However, the final formulation is specialized for the case in which the pressure distribution is of the form p = p0 + p1 cos φ within a centrally located circumferential band. In the buckling analysis the stability criterion is based on the principle of minimum potential energy, and the Rayleigh-Ritz procedure is used to expand the displacement components in trigonometric series. Buckling pressures are computed in terms of nondimensional parameters and are presented in graphical form.

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