The effect of a transverse shear acting on the edge of a circular cutout in a simply supported circular cylindrical shell

1973 ◽  
Vol 42 (2) ◽  
pp. 141-150 ◽  
Author(s):  
A. K. Naghdi ◽  
J. M. Gersting
Keyword(s):  
Cylindrical Shell ◽  
Transverse Shear ◽  
Circular Cylindrical Shell ◽  
Simply Supported ◽  
Circular Cutout

Cylindrical Shells Under Line Load

1957 ◽  
Vol 24 (4) ◽  
pp. 553-558
Author(s):  
R. M. Cooper
Keyword(s):  
Cylindrical Shell ◽  
Radial Displacement ◽  
Circular Cylindrical Shell ◽  
Transverse Shear Deformation ◽  
System Of Equations ◽  
Principle Of Superposition ◽  
Line Load ◽  
Simply Supported ◽  
Shell Equations ◽  
Shell Geometry

Abstract The problem of a line load along a segment of a generator of a simply supported circular cylindrical shell is treated using shallow cylindrical shell equations which include the effect of transverse-shear deformation. The line load is first treated as a sinusoidally-varying edge load over the length of the shell, with boundary conditions prescribed along the loaded generator such that the continuity of the shell is maintained. The solution for the problem of a uniform line load over a segment of a generator is obtained from the preceding solution, using the principle of superposition. By means of a numerical example it is shown that the results predicted by the Donnell equations for the stresses are in excellent agreement with those obtained from the system of equations employed here. However, the radial displacement predicted by the Donnell equations is in error by as much as 20 per cent in the range of shell geometry considered.

Full-Strength Reinforcement of a Cutout in a Cylindrical Shell

1964 ◽  
Vol 31 (4) ◽  
pp. 667-675 ◽  
Author(s):  
Philip G. Hodge
Keyword(s):  
Cylindrical Shell ◽  
Lower Bounds ◽  
Upper Bound ◽  
Circular Cylindrical Shell ◽  
Minimum Weight ◽  
Upper And Lower Bounds ◽  
Minimum Weight Design ◽  
Initial Strength ◽  
Weight Design ◽  
Circular Cutout

A long circular cylindrical shell is to be pierced with a circular cutout, and it is desired to design a plane annular reinforcing ring which will restore the shell to its initial strength. Upper and lower bounds on the design of the reinforcement are obtained. Although these bounds are far a part, it is conjectured that the upper bound, in addition to being safe, is reasonably close to the minimum weight design. Some suggestions for further work on the problem are advanced.

On Radial Deflections of a Cylinder Subjected to Equal and Opposite Concentrated Radial Loads: Infinitely Long Cylinder and Finite-Length Cylinder With Simply Supported Ends

1957 ◽  
Vol 24 (2) ◽  
pp. 278-282
Author(s):  
S. W. Yuan ◽  
L. Ting
Keyword(s):  
Mathematical Method ◽  
Cylindrical Shell ◽  
Finite Length ◽  
Circular Cylindrical Shell ◽  
Short Length ◽  
Simply Supported ◽  
Thin Walled ◽  
Long Cylinder

Abstract The radial deformations of a thin-walled circular cylindrical shell subjected to a pair of equal and opposite concentrated radial loads were obtained in (1) for the cases of infinitely long cylinders and cylinders of finite length simply supported at the ends. Based on the mathematical method given in (1) this problem is reexamined in the present paper by using Flügge’s equations (2, 3). It is found that the results obtained in (1) are quite satisfactory for short-length cylinders (L/α ≤ 10) with simply supported ends but not satisfactory for infinitely long cylinders.

Vibration Analysis of a Railway Carbody Model as a Non-Circular Cylindrical Shell

2007 ◽  
Author(s):  
Yukinori Kobayashi ◽  
Kotaro Ishiguri ◽  
Takahiro Tomioka ◽  
Yohei Hoshino
Keyword(s):  
Cylindrical Shell ◽  
Natural Frequencies ◽  
Circular Cylindrical Shell ◽  
Experimental Studies ◽  
Three Dimensional ◽  
Elastic Vibration ◽  
Mode Shapes ◽  
Simply Supported ◽  
Vibration Problems ◽  
Good Agreement

Railway carbody is modeled as a non-circular cylindrical shell with simply-supported ends in this paper. The shell model doesn’t have end plates of the carbody and other equipments attached to actual carbody are neglected. We have applied the transfer matrix method (TMM) to the analysis of three-dimensional elastic vibration problems on the carbody. We also made a 1/12 size carbody model for experimental studies to verify the validity of the numerical simulation. The model has end plates and was placed on soft sponge at both ends of the model to emulate the freely-support. The modal analysis was applied to the experimental model, and natural frequencies and mode shapes of vibration were measured. Comparing the results by TMM and the experiment, natural frequencies and mode shapes of vibration for lower modes show good agreement each other in spite of differences of boundary conditions.

Static Analysis of Thick Laminated Circular Cylindrical Shells

1993 ◽  
Vol 115 (2) ◽  
pp. 193-200 ◽  
Author(s):  
K. Chandrashekhara ◽  
B. S. Kumar
Keyword(s):  
Exact Solution ◽  
Cylindrical Shell ◽  
Approximate Solution ◽  
Circular Cylindrical Shell ◽  
Simply Supported ◽  
Hybrid Laminates ◽  
Shell Panel ◽  
Circular Cylindrical Shells ◽  
Shear Deformation Theories ◽  
Asymmetric Load

An approximate solution for a thick laminated simply supported circular cylindrical shell of revolution and shell panel subjected to asymmetric load has been obtained using elasticity approach. The results obtained from this analysis have been compared with the exact solution. Numerical results have been presented for 3-ply hybrid laminates and (0/90/0) laminates subjected to patch loads. The results have also been compared with some available classical and shear deformation theories to assess the accuracy of these theories.

Response of Pressurized Cylindrical Shells Subjected to Moving Loads

1972 ◽  
Vol 39 (1) ◽  
pp. 227-234 ◽  
Author(s):  
E. N. K. Liao ◽  
P. G. Kessel
Keyword(s):  
Cylindrical Shell ◽  
Radial Displacement ◽  
Circular Cylindrical Shell ◽  
Axial Direction ◽  
Biaxial Stress ◽  
Steady State Response ◽  
Moving Loads ◽  
Simply Supported ◽  
State Response ◽  
Critical Velocities

This paper presents a theoretical analysis of the dynamic response of a thin circular cylindrical shell, simply supported at both ends, of finite length, under initial biaxial stress and subjected to a radial point force that moves uniformly either along the axial direction or the circumferential direction. The analytical solutions are obtained in explicit form for the transient response of the first problem and the steady-state response of the latter problem. Critical speeds are given for both problems. Numerical results for both problems show the effects of the various relevant parameters. The effects of initial biaxial stress on the radial displacement and the critical velocities are presented. The behavior of cylinders beyond the lowest critical velocity is also pointed out.

Stresses around a small circular cutout in a cylindrical shell subjected to asymmetric bending

1977 ◽  
Vol 12 (1) ◽  
pp. 53-61 ◽  
Author(s):  
J Pattabiraman ◽  
V Ramamurti
Keyword(s):  
Cylindrical Shell ◽  
Stress Concentration ◽  
Shear Force ◽  
Circular Cylindrical Shell ◽  
Pressure Vessels ◽  
Ball Mills ◽  
Edge Conditions ◽  
Circular Cutout ◽  
Asymmetric Load ◽  
Asymmetric Bending

The problem of stress concentration around cutouts in shells is an important one in the design of nuclear pressure vessels, boilers, pressure hulls of submarines, aircraft structures, pipe connections and tube and ball mills used in chemical industries. By using the finite-difference scheme suggested by Budiansky, the solution to the problem of a cylindrical shell without a cutout, subjected to an asymmetric load, is derived first. Then, the negatives of the stress resultants and stress couples at a given radius obtained from the above solution are combined with a transverse shear force to form the edge conditions for a circular cylindrical shell containing a circular cutout of radius a. The desired results are finally obtained by superposing these two solutions.

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