General solution of the equilibrium equations for open circular cylindrical shells reinforced with discrete longitudinal ribs

2009 ◽  
Vol 45 (6) ◽  
pp. 643-653 ◽  
Author(s):  
Kh. Abramovich ◽  
V. A. Zarutskii
Keyword(s):  
General Solution ◽  
Cylindrical Shells ◽  
Equilibrium Equations ◽  
Longitudinal Ribs ◽  
Open Circular ◽  
Circular Cylindrical Shells ◽  
Discrete Longitudinal Ribs

Thick General Shells Under General Loading

1989 ◽  
Vol 56 (2) ◽  
pp. 391-394 ◽  
Author(s):  
Lloyd H. Donnell
Keyword(s):  
Cylindrical Shells ◽  
Small Strain ◽  
Equilibrium Equations ◽  
Flat Plates ◽  
Circular Cylindrical Shells

Three equilibrium equations in terms of three displacements are derived in scalar mathematics form, by linear, small-strain elasticity principles, for the case of general thick-walled shells under general loading. These reduce to well-known forms for the particular cases of flat-plates and thick circular cylindrical shells.

Free vibration analysis of porous laminated rotating circular cylindrical shells

2019 ◽  
Vol 25 (18) ◽  
pp. 2494-2508 ◽  
Author(s):  
Ahmad Reza Ghasemi ◽  
Mohammad Meskini
Keyword(s):  
Free Vibration ◽  
Boundary Conditions ◽  
Cylindrical Shells ◽  
Free Vibration Analysis ◽  
Equilibrium Equations ◽  
Rotating Speed ◽  
Simply Supported ◽  
Numerical Result ◽  
Love’S Shell Theory ◽  
Circular Cylindrical Shells

In this research, investigations are presented of the free vibration of porous laminated rotating circular cylindrical shells based on Love’s shell theory with simply supported boundary conditions. The equilibrium equations for circular cylindrical shells are obtained using Hamilton’s principle. Also, Navier’s solution is used to solve the equations of the cylindrical shell due to the simply supported boundary conditions. The results are compared with previous results of other researchers. The numerical result of this study indicates that with increase of the porosity coefficient the nondimensional backward and forward frequency decreased. Then the results of the free vibration of rotating cylindrical shells are presented in terms of the effects of porous coefficients, porous type, length to radius ratio, rotating speed, and axial and circumferential wave numbers.

The Morley-Koiter Equations for Thin-Walled Circular Cylindrical Shells: Part 1—General Solution for Symmetrical Shells of Uniform Thickness

1973 ◽  
Vol 40 (4) ◽  
pp. 961-965 ◽  
Author(s):  
C. P. Mangelsdorf
Keyword(s):  
General Solution ◽  
Evaluation Procedure ◽  
Uniform Thickness ◽  
Equilibrium Equations ◽  
Line Load ◽  
Longitudinal Line ◽  
Symmetrical Loading ◽  
Circular Cylindrical Shells ◽  
Simple Supports ◽  
Thin Walled

Modified Donnell equilibrium equations are solved in Part 1 for the case of symmetrical loading and supports, using Fourier series. An evaluation procedure for simple, fixed, and relaxed simple conditions is suggested. In Part 2, an application of the general solution is made for a shell with small circumferential grooves (or ribs) subjected to a longitudinal line load after approximations to allow for such grooves are introduced. The solution is completed for the boundary conditions of classical simple supports and relaxed simple supports and the results compared with experimental data.

Buckling Study of Steel Open Circular Cylindrical Shells in Pure Bending

Strain ◽  
2011 ◽  
Vol 47 (3) ◽  
pp. 209-214 ◽  
Author(s):  
S. Joniak ◽  
K. Magnucki ◽  
W. Szyc
Keyword(s):  
Cylindrical Shells ◽  
Pure Bending ◽  
Open Circular ◽  
Circular Cylindrical Shells
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