scholarly journals Discussion: “General Instability of a Ring-Stiffened, Circular Cylindrical Shell Under Hydrostatic Pressure” (Bodner, S. R., 1957, ASME J. Appl. Mech., 24, pp. 269–277)

1958 ◽  
Vol 25 (1) ◽  
pp. 152
Author(s):  
S. B. Batdorf
Keyword(s):  
Cylindrical Shell ◽  
Hydrostatic Pressure ◽  
Circular Cylindrical Shell

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.

Free Vibration Analysis of Orthotropic Circular Cylindrical Shell Under External Hydrostatic Pressure

2002 ◽  
Vol 46 (03) ◽  
pp. 201-207
Author(s):  
Li Xuebin ◽  
Chen Yaju
Keyword(s):  
Cylindrical Shell ◽  
Hydrostatic Pressure ◽  
Free Vibration ◽  
Material Properties ◽  
Shell Theory ◽  
Circular Cylindrical Shell ◽  
Free Vibration Analysis ◽  
Free Vibrations ◽  
External Hydrostatic Pressure ◽  
Two Parameters

An analysis is presented for the free vibration of an orthotropic circular cylindrical shell subjected to hydrostatic pressure. Based on Flügge shell theory, the equations of free vibrations of an orthotropic circular cylindrical shell under hydrostatic pressure are obtained. For shear diaphragms at both ends, the resulting characteristic equations about pressure and frequency are given. These two parameters are calculated exactly. The effect of the shell's parameters (L/R, h/R) and material properties on the free vibration characteristics are studied in detail. Differences between Love-Timoshenko, Donnell equations and that of the Flügge theory are examined as well.

Stresses in Eccentric Nonuniform Rings Reinforcing Cylindrical Shells

1967 ◽  
Vol 11 (02) ◽  
pp. 73-88
Author(s):  
Arnold Kempner ◽  
Joseph Kempner
Keyword(s):  
Cylindrical Shell ◽  
Hydrostatic Pressure ◽  
Circular Cylindrical Shell ◽  
Cylindrical Shells ◽  
Approximate Solutions ◽  
Ring Theory ◽  
Stress Distributions ◽  
Membrane Stress ◽  
Shell Equations ◽  
Interaction Problem

Bending and membrane stresses are determined in nonuniform frames of an infinitely long reinforced circular cylindrical shell subjected to hydrostatic pressure. The Donnell shell equations and deep-ring theory are used to solve the interaction problem. The frames, periodically spaced along the shell, are composed of two uniform but different sections. Each section of each frame has a different centroidal radius. Analyses of bending and membrane stress distributions in the frames are presented. Approximate solutions of different degrees of simplicity and accuracy are also given.

Ring-stiffened orthotropic circular cylindrical shell under hydrostatic pressure

1970 ◽  
Vol 1 (6) ◽  
pp. 575-595 ◽  
Author(s):  
Joseph Kempner ◽  
A.P. Misovec ◽  
F.C. Herzner
Keyword(s):  
Cylindrical Shell ◽  
Hydrostatic Pressure ◽  
Circular Cylindrical Shell
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