Simplified Formulas for Boundary-Value Problems of the Thin-Walled Circular Cylinder

1955 ◽  
Vol 22 (3) ◽  
pp. 389-390
Author(s):  
Frederick V. Pohle ◽  
S. V. Nardo
Keyword(s):  
Circular Cylinder ◽  
Boundary Value Problems ◽  
Boundary Value ◽  
Circular Cylinders ◽  
Thin Walled ◽  
Simplified Form

Abstract N. J. Hoff has presented formulas which can be used in the solution of boundary-value problems of circular cylinders. The purpose of this note is to express these results in exact simplified form; a more detailed investigation appears elsewhere. The notation will be that of Hoff, unless otherwise stated.

Boundary-Value Problems of the Thin-Walled Circular Cylinder

1954 ◽  
Vol 21 (4) ◽  
pp. 343-350
Author(s):  
N. J. Hoff
Keyword(s):  
Circular Cylinder ◽  
Differential Equations ◽  
Closed Form ◽  
Boundary Value Problems ◽  
Boundary Value ◽  
Cylindrical Shells ◽  
Shear Forces ◽  
Thin Walled

Abstract The homogeneous differential equations of Donnell’s theory of thin cylindrical shells are integrated. Expressions are obtained in closed form for the displacements, membrane stresses, moments, and shear forces.

Steady Motion of a Thread Over a Rotating Roller

1994 ◽  
Vol 61 (1) ◽  
pp. 16-22 ◽  
Author(s):  
R.-J. Yang
Keyword(s):  
Circular Cylinder ◽  
Boundary Conditions ◽  
Boundary Value Problems ◽  
Analytical Solutions ◽  
Boundary Value ◽  
Steady Motion ◽  
Dynamic Equations ◽  
Initial Value ◽  
Perturbation Result ◽  
The Third

Dynamic equations of steady motion governing the behavior of threads over rotating arbitrary-axisymmetric rollers are derived. Various types of boundary conditions resulting in initial value or boundary value problems are discussed. Analytical solutions for the case of a circular cylinder are found. Two of the integrals obtained are exact. The third one, being a perturbation result, is thus approximate. Comparisons of results for a circular cylinder with those for tapered and parabolic rollers are made.

scholarly journals On the Solution of some Axisymmetric Boundary Value Problems by means of Integral Equations

1962 ◽  
Vol 13 (1) ◽  
pp. 13-23 ◽  
Author(s):  
W. D. Collins
Keyword(s):  
Circular Cylinder ◽  
Boundary Value Problems ◽  
Integral Equations ◽  
Electrostatic Potential ◽  
Potential Problem ◽  
Boundary Value ◽  
Coaxial Cylinder ◽  
Spherical Cap ◽  
Potential Problems ◽  
Circular Disks

This paper is a sequel to a previous paper (1) on axisymmetric potential problems for one or more circular disks situated inside a coaxial cylinder and applies the method used for these problems to the electrostatic potential problem for a perfectly conducting thin spherical cap situated inside an earthed coaxial infinitely long circular cylinder.

Thin-Walled Laminated Composite Cylindrical Tubes: Part I—Boundary Value Problems

1987 ◽  
Vol 9 (2) ◽  
pp. 47 ◽  
Author(s):  
KL Reifsnider ◽  
GP Sendeckyj ◽  
SS Wang ◽  
W Steven Johnson ◽  
WW Stinchcomb ◽  
...  
Keyword(s):  
Boundary Value Problems ◽  
Boundary Value ◽  
Laminated Composite ◽  
Cylindrical Tubes ◽  
Thin Walled

scholarly journals Existence of equilibrium states of hollow elastic cylinders submerged in a fluid

1992 ◽  
Vol 15 (2) ◽  
pp. 385-396
Author(s):  
M. B. M. Elgindi ◽  
D. H. Y. Yen
Keyword(s):  
Cylindrical Shell ◽  
Pressure Gradient ◽  
Boundary Value Problems ◽  
Boundary Value ◽  
Equilibrium States ◽  
Elastic Cylindrical Shell ◽  
Existence Of Equilibrium ◽  
Elastic Cylinders ◽  
Thin Walled

This paper is concerned with the existence of equilibrium states of thin-walled elastic, cylindrical shell fully or partially submerged in a fluid. This problem obviously serves as a model for many problems with engineering importance. Previous studies on the deformation of the shell have assumed that the pressure due to the fluid is uniform. This paper takes into consideration the non-uniformity of the pressure by taking into account the effect of gravity. The presence of a pressure gradient brings additional parameters to the problem which in turn lead to the consideration of several boundary value problems.

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