Numerical determination of the stress concentration around a hole in a circular cylindrical shell

1972 ◽  
Vol 8 (7) ◽  
pp. 785-788
Author(s):  
V. N. Chekhov ◽  
S. V. Zakora
Keyword(s):  
Cylindrical Shell ◽  
Stress Concentration ◽  
Circular Cylindrical Shell ◽  
Numerical Determination

Stress Concentration in a Stretched Cylindrical Shell With Two Equal Circular Holes

1975 ◽  
Vol 42 (1) ◽  
pp. 105-109 ◽  
Author(s):  
P. Seide ◽  
A. S. Hafiz
Keyword(s):  
Cylindrical Shell ◽  
Stress Concentration ◽  
Stress Distribution ◽  
Circular Cylindrical Shell ◽  
Algebraic Equations ◽  
Linear Algebraic Equations ◽  
Wide Range ◽  
Circular Holes ◽  
Limiting Case ◽  
Infinite Set

In this investigation, the stress distribution due to uniaxial tension of an infinitely long, thin, circular cylindrical shell with two equal small circular holes located along a generator is obtained. The problem is solved by the superposition of solutions previously obtained for a cylinder with a single circular hole. The satisfaction of boundary conditions on the free surfaces of the holes, together with uniqueness and overall equilibrium conditions, yields an infinite set of linear algebraic equations involving Hankel and Bessel functions of complex argument. The stress distribution along the boundaries of the holes and the interior of the shell is investigated. In particular, the value of the maximum stress is calculated for a wide range of parameters, including the limiting case in which the holes almost touch and the limiting case in which the radius of the cylinder becomes very large. As is the case for a flat plate, the stress-concentration factor is reduced by the presence of another hole.

Stress Concentration in a Stretched Cylindrical Shell With Two Elliptical Holes

1978 ◽  
Vol 45 (4) ◽  
pp. 839-844 ◽  
Author(s):  
E. B. Hansen
Keyword(s):  
Integral Equation ◽  
Cylindrical Shell ◽  
Stress Concentration ◽  
Circular Cylindrical Shell ◽  
Integral Equation Method ◽  
Equation Method ◽  
Center Line ◽  
Axial Tension ◽  
Bending Stresses ◽  
Elliptical Holes

The circumferential membrane and bending stresses at the edges of two identical elliptical holes in a circular cylindrical shell loaded by axial tension are computed by means of an integral equation method. Pairs of holes of which the center line is along a generator of the shell, along a directrix, or in a direction forming an angle of 45° with the generators are considered. For each of these hole configurations results are presented for a number of hole distances, hole sizes, and axis ratios.

Numerical Determination of Natural Frequencies and Modes of the Vibrations of a Thick-Walled Cylindrical Shell

2018 ◽  
Vol 54 (1) ◽  
pp. 75-84 ◽  
Author(s):  
A. Ya. Grigorenko ◽  
M. Yu. Borisenko ◽  
E. V. Boichuk ◽  
A. P. Prigoda
Keyword(s):  
Cylindrical Shell ◽  
Natural Frequencies ◽  
Numerical Determination ◽  
Natural Frequencies And Modes

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.

Stress Concentration in Nonlinear Creep of a Simple Shell

1966 ◽  
Vol 33 (2) ◽  
pp. 322-326 ◽  
Author(s):  
C. R. Calladine
Keyword(s):  
Cylindrical Shell ◽  
Stress Concentration ◽  
Strain Rate ◽  
Circular Cylindrical Shell ◽  
Bending Moment ◽  
Elastic Problem ◽  
Nonlinear Creep ◽  
Linear Elastic ◽  
Perfectly Plastic ◽  
Plastic Analysis

A long, thin circular cylindrical shell is loaded at one edge by symmetrical radial shear Qx and bending moment Mx. (No interior pressure.) The shell is made of material which under applied stress creeps with a strain rate which is proportional to the rth power of the stress. Previous results are used to derive, approximately, the greatest stress in the shell for any Qx, Mx, and r. It is shown that for any load the greatest stress decreases as r increases, and is approximately a linear function of 1/r. The case r = 1 is exactly analogous to a linear elastic problem, and the case r → = ∞ corresponds exactly to a perfectly plastic problem. Results for any exponent r may thus be found approximately by simple interpolation between results obtained in linearelastic analysis and perfectly plastic analysis.

Stresses Around a Rib-Reinforced Elliptic Hole in a Circular Cylindrical Shell Under Tension

1977 ◽  
Vol 99 (1) ◽  
pp. 12-16
Author(s):  
S. I. Chou ◽  
Om P. Chaudhary
Keyword(s):  
Cylindrical Shell ◽  
Stress State ◽  
Stress Concentration ◽  
Cross Section ◽  
Circular Cylindrical Shell ◽  
Elliptic Hole ◽  
Axial Tension ◽  
Bending Stresses ◽  
Curvature Parameter ◽  
Moduli Of Elasticity

The stress state around a rib reinforced elliptic hole in a circular cylindrical shell under axial tension at its ends is determined by perturbation in terms of a curvature parameter and the eccentricity of the elliptic hole. The reinforcing rib is assumed to be rectangular in cross section, and has extensional, flexural and torsional rigidities. Nondimensional membrane stresses and bending stresses around the hole are given for different values of E1/E1 where E1 and E are moduli of elasticity of the rib and the shell respectively. It is shown that the reinforcing rib substantially reduces the stress concentration around the hole.

Problem of the experimental-numerical determination of stress concentration

1988 ◽  
Vol 20 (5) ◽  
pp. 632-635
Author(s):  
V. A. Khyuvenen ◽  
V. I. Skripchenko
Keyword(s):  
Stress Concentration ◽  
Numerical Determination
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