scholarly journals Discussion: “Analysis of Spherical Shells of Variable Wall Thickness” (Spotts, M. F., 1939, ASME J. Appl. Mech., 6, pp. A97–A102)

1940 ◽  
Vol 7 (2) ◽  
pp. A88-A89
Author(s):  
Stefan Bergmann
Keyword(s):  
Wall Thickness ◽  
Spherical Shells ◽  
Variable Wall Thickness ◽  
Variable Wall

Analysis of Spherical Shells of Variable Wall Thickness

1939 ◽  
Vol 6 (3) ◽  
pp. A97-A102
Author(s):  
Merhyle F. Spotts
Keyword(s):  
General Solution ◽  
Wall Thickness ◽  
Homogeneous Solution ◽  
Quadratic Function ◽  
Dead Load ◽  
Spherical Shells ◽  
Shell Surface ◽  
Constant Coefficients ◽  
Variable Wall Thickness ◽  
Variable Wall

Abstract This article presents a solution to the problem of finding the forces and moments which occur in a spherical shell which is axisymmetrically loaded, when the variation in wall thickness is taken as a quadratic function of the coordinate of latitude. The so-called Love-Meissner differential equations for the case of nonuniform wall thickness are derived herein. By appropriate substitutions these are reduced to one linear equation of the fourth order having constant coefficients. The solution to this equation when taken in the homogeneous form is first given. This homogeneous solution will be the general solution for all problems where the shell surface is free from external force, and the only loads on the shell consist of forces and moments applied at the boundaries. When, however, the shell surface itself is loaded, a particular integral, which will depend upon the type of loading, must also be obtained for the nonhomogeneous equations. The solution contained herein is illustrated by a numerical example for a shell of one boundary when acted upon by dead-load forces, and the results are plotted.

scholarly journals Extrusion of magnesium alloy hollow profiles with axial variable wall thickness

2019 ◽  
Author(s):  
Maik Negendank ◽  
Vidal Sanabria ◽  
Sören Müller ◽  
W. Reimers
Keyword(s):  
Magnesium Alloy ◽  
Wall Thickness ◽  
Variable Wall Thickness ◽  
Variable Wall

Obtaining Body Parts with Variable Wall Thickness Along the Perimeter

2021 ◽  
pp. 473-479
Author(s):  
Yuliya Bessmertnaya ◽  
Alexander Malyshev ◽  
Vladimir Vikhorev ◽  
Pavel Romanov
Keyword(s):  
Wall Thickness ◽  
Body Parts ◽  
Variable Wall Thickness ◽  
Variable Wall

The Bending of Curved Pipes With Variable Wall Thickness

2003 ◽  
Vol 70 (2) ◽  
pp. 253-259 ◽  
Author(s):  
V. P. Cherniy
Keyword(s):  
Cross Section ◽  
Wall Thickness ◽  
Shell Theory ◽  
Neutral Line ◽  
Radius Of Curvature ◽  
Curved Pipes ◽  
Variable Wall Thickness ◽  
Previous Solution ◽  
Variable Wall ◽  
Thin Shell Theory

A general solution is presented for the in-plane bending of short-radius curved pipes (pipe bends) which have variable wall thickness. Using the elastic thin-shell theory, the actual radius of curvature of the pipe’s longitudinal fibers and displacement of the neutral line of the cross section under bending are taken into account. The pipe’s wall thickness is assumed to vary smoothly along the contour of the pipe’s cross section, and is a function of an angular coordinate. The solution uses the minimization of the total energy, and is compared to our previous solution for curved pipes with constant wall thickness.

Comparison of Three Methods of MOM, MLFMM and PO/MOM for Simulation of Variable Wall Thickness Radome

2011 ◽  
Vol 268-270 ◽  
pp. 946-949
Author(s):  
Lie Zhang ◽  
Juan Zhang ◽  
Peng Fei Du ◽  
Zuo Jun Li ◽  
Zhu Feng Yue
Keyword(s):  
Wall Thickness ◽  
Method Of Moments ◽  
Variable Thickness ◽  
Fast Multipole Method ◽  
Design Concept ◽  
Physical Optics ◽  
Medium Size ◽  
Method Of Moment ◽  
Variable Wall Thickness ◽  
Variable Wall

a Design Concept of Piecewise Variable Wall Thickness of Radome Is Proposed to Simulate the Radome which Has Variable Wall. the Paper Calculates the Far Field of a Medium-Size Radome in the Case of Piecewise Variable Thickness by Three Methods as Follows: Method of Moment (MOM), Multilevel Fast Multipole Method (MLFMM) and Physical Optics& the Method of Moments (PO/MOM) Respectively. after Comparing the Results, we Find that the PO/MOM Method Have the Superiority in Simulation of Radome’s Electromagnetic because it’s More Accuracy and Less Memory Consuming than the other Two Methods. Also it Proves the Feasibility of the Design Concept of Piecewise Variable Thickness for Radome.

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