Stress distribution around a reinforced hole in a spherical shell

1975 ◽  
Vol 11 (2) ◽  
pp. 209-211
Author(s):  
A. G. Makarenkov ◽  
V. A. Firsov
Keyword(s):  
Stress Distribution ◽  
Spherical Shell

Research of the Connecting Form about the Spherical Shell and the Nozzle

2011 ◽  
Vol 413 ◽  
pp. 520-523
Author(s):  
Cai Xia Luo
Keyword(s):  
Finite Element ◽  
Stress Distribution ◽  
Finite Element Model ◽  
Spherical Shell ◽  
Maximum Stress ◽  
Peak Stress ◽  
Element Model ◽  
Small Opening ◽  
Large Opening ◽  
Reducing Stress

The Stress Distribution in the Connection of the Spherical Shell and the Opening Nozzle Is Very Complex. Sharp-Angled Transition and Round Transition Are Used Respectively in the Connection in the Light of the Spherical Shell with the Small Opening and the Large One. the Influence of the Two Connecting Forms on Stress Distribution Is Analyzed by Establishing Finite Element Model and Solving it. the Result Shows there Is Obvious Stress Concentration in the Connection. Round Transition Can Reduce the Maximum Stress in Comparison with Sharp-Angled Transition in both Cases of the Small Opening and the Large Opening, Mainly Reducing the Bending Stress and the Peak Stress, but Not the Membrane Stress. the Effect of Round Transition on Reducing Stress Was Not Significant. so Sharp-Angled Transition Should Be Adopted in the Connection when a Finite Element Model Is Built for Simplification in the Future.

scholarly journals A Green’s Function Approach for Dynamic Stress Analysis of Spherical Shell under the Isotropic Impact Load

2015 ◽  
Vol 2015 ◽  
pp. 1-7
Author(s):  
Jincheng Lv ◽  
Shike Zhang ◽  
Xinsheng Yuan
Keyword(s):  
Stress Distribution ◽  
Spherical Shell ◽  
Green’S Function ◽  
Green's Function ◽  
Dynamic Stress ◽  
Initial Conditions ◽  
Impact Load ◽  
Static Solution ◽  
Function Approach ◽  
Dynamic Stress Distribution

A Green’s function approach is developed for the analytic solution of thick-walled spherical shell under an isotropic impact load, which involves building Green’s function of this problem by using the appropriate boundary conditions of thick-walled spherical shell. This method can be used to analyze displacement distribution and dynamic stress distribution of the thick-walled spherical shell. The advantages of this method are able(1)to avoid the superposition process of quasi-static solution and free vibration solution during decomposition of dynamic general solution of dynamics,(2)to well adapt for various initial conditions, and(3)to conveniently analyze the dynamic stress distribution using numerical calculation. Finally, a special case is performed to verify that the proposed Green’s function method is able to accurately analyze the dynamic stress distribution of thick-walled spherical shell under an isotropic impact load.

Stress Distributions Analyzed in Bispherical Co-Ordinates

1960 ◽  
Vol 27 (4) ◽  
pp. 726-732 ◽  
Author(s):  
T. P. Mitchell ◽  
J. A. Weese
Keyword(s):  
Stress Distribution ◽  
Spherical Shell ◽  
Internal Pressure ◽  
Half Space ◽  
Linear Elasticity ◽  
Spherical Cavity ◽  
Point Load ◽  
Stress Distributions ◽  
Load Distributions

Boussinesq-Papkovich potentials are used in conjunction with the bispherical co-ordinate system to analyze three problems in the classical theory of linear elasticity: (a) The extension of the Boussinesq point-load problem to that in which the half-space contains a spherical cavity; (b) the determination of the stress distribution in an eccentric spherical shell under uniform internal pressure; (c) the determination of the stress distribution in a half-space containing a uniformly pressurized spherical cavity. Numerical results are presented for representative configurations and load distributions in each case.

Stress Distribution in a Rotating Spherical Shell of Arbitrary Thickness

1961 ◽  
Vol 28 (1) ◽  
pp. 127-131 ◽  
Author(s):  
M. A. Goldberg ◽  
V. L. Salerno ◽  
M. A. Sadowsky
Keyword(s):  
Exact Solution ◽  
Stress Intensity ◽  
Stress Distribution ◽  
Spherical Shell ◽  
Maximum Stress ◽  
Elastic Spherical Shell ◽  
Arbitrary Thickness ◽  
Maximum Stress Intensity ◽  
Thickness Parameter

This paper contains an exact solution for the stress distribution in an elastic spherical shell rotating about a diametral axis. The surfaces of the shell are free of boundary tractions. The coefficients necessary to determine the stresses at any point have been calculated for eight values of a thickness parameter, α. Graphs of the maximum stress intensity as a function of α are presented.

Spherical Shell Sector Acrylic Plastic Windows with 12,000 ft Operational Depth for Submersible Alvin

1976 ◽  
Vol 98 (2) ◽  
pp. 523-536 ◽  
Author(s):  
J. D. Stachiw ◽  
R. Sletten
Keyword(s):  
Stress Distribution ◽  
Spherical Shell ◽  
Critical Pressure ◽  
Catastrophic Failure ◽  
Ocean Bottom ◽  
Uniform Stress ◽  
Short Term ◽  
Single Pass ◽  
Sustained Loading ◽  
The Cost

It has been found that the 90-deg plane conical frustum windows with t/Di = 0.7 ratio in ALVIN submersible can be replaced with 90-deg t/Di = 1 spherical shell sector windows without any modification of window seat flanges. The 90-deg spherical shell sector windows with t/Di = 1.0 possess not only a higher short term critical pressure but also develop more uniform stress distribution during a typical dive to 12,000 ft than the t/Di = 0.7 acrylic conical frustum windows that they replace. The 90-deg t/Di = 1.0 spherical shell sector windows (1) withstood, without catastrophic failure, 100 hr sustained loading to 20,000 psi, (2) 33 pressure cycles of 7-hr duration to 13,500 ft depth without any signs of fatigue, and (3) experienced less than 15,000 μin. strain during a simulated typical prooftest dive to 13,500 ft depth. The 90-deg t/Di = 1 spherical shell sector window presents a 50 percent larger view in water than a 90-deg t/Di = 0.7 conical frustum window that it replaces. This permits the observer inside the submersible to cover visually more ocean bottom during a single pass along the bottom and thus decreases the cost of a typical bottom search mission for a submersible.

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