An Arbitrary Concentrated Force in a Transversely Isotropic Elastic Cylinder: an Exact Solution

2002 ◽  
Vol 82 (7) ◽  
pp. 473-480
Author(s):  
V.I. Fabrikant
Keyword(s):  
Exact Solution ◽  
Transversely Isotropic ◽  
Elastic Cylinder ◽  
Concentrated Force

Torsional oscillation of rigid disk in infinite transversely isotropic elastic cylinder

2006 ◽  
Vol 27 (7) ◽  
pp. 911-917 ◽  
Author(s):  
Sakti Pada Barik ◽  
Mridula Kanoria ◽  
P. K. Chaudhuri
Keyword(s):  
Torsional Oscillation ◽  
Transversely Isotropic ◽  
Elastic Cylinder ◽  
Rigid Disk

scholarly journals Stress Resultants and Out-of-Plane Deformations in Stiff Rings Attached to Elastic Cylinders and Subject to Concentrated Loads

1971 ◽  
Vol 93 (3) ◽  
pp. 835-844 ◽  
Author(s):  
Bernard W. Shaffer ◽  
Eric E. Ungar
Keyword(s):  
Cross Sections ◽  
Bending Moment ◽  
Elastic Cylinder ◽  
Concentrated Force ◽  
Direction Parallel ◽  
Out Of Plane ◽  
Elastic Cylinders ◽  
Special Case ◽  
Radial Axis ◽  
Plane Deformations

Expressions are derived which give the internal loads and deformations of a relatively stiff ring which is mounted on an elastic cylinder. Three basic types of loads acting on the ring are considered: a concentrated force acting in the direction parallel to the axis of the cylinder, a bending moment acting about a radial axis, and a bending moment acting about a tangential axis. The entire problem is first analyzed for the general case in which the centers of twist of the ring cross sections do not coincide with the mid-surface of the cylinder, and then also developed for the special case where these do coincide. An illustrative example is presented which gives an indication of the effect of the lack of coincidence of the centers of twist of the ring and the cylinder mid-surface.

The Axially Loaded Circular Cylinder

1962 ◽  
Vol 29 (2) ◽  
pp. 318-320
Author(s):  
H. D. Conway
Keyword(s):  
Exact Solution ◽  
Fourier Transform ◽  
Circular Cylinder ◽  
Closed Form ◽  
Cross Sections ◽  
Closed Form Solution ◽  
Form Solution ◽  
Concentrated Force ◽  
Transform Method ◽  
Fourier Transform Method

Commencing with Kelvin’s closed-form solution to the problem of a concentrated force acting at a given point in an indefinitely extended solid, a Fourier transform method is used to obtain an exact solution for the case when the force acts along the axis of a circular cylinder. Numerical values are obtained for the maximum direct stress on cross sections at various distances from the force. These are then compared with the corresponding stresses from the solution for an infinitely long strip, and in both cases it is observed that the stresses are practically uniform on cross sections greater than a diameter or width from the point of application of the load.

Large Displacements With Small Strains in Loaded Structures

1948 ◽  
Vol 15 (1) ◽  
pp. 45-48
Author(s):  
K. H. Swainger
Keyword(s):  
Exact Solution ◽  
Flat Plate ◽  
Large Class ◽  
Major Part ◽  
Flexible Structures ◽  
Elastic Cylinder ◽  
Small Displacement ◽  
Large Displacements ◽  
Physical Conditions ◽  
Small Strains

Abstract This paper considers the case of flexible structures in which displacements can be large although strains are small. The theory gives an “exact” solution in a large class of problems where the displacements are large but predictable closely from the physical conditions imposed. In this method, the major part of the displacement is “guessed,” and then a further “small” displacement calculated from equations, which are developed, to assure compatibility. As a simple but not trivial example, the generation of an elastic cylinder from a flat plate is considered to illustrate the method.

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