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contributor authorN. G. Stephen
contributor authorM. Z. Wang
date accessioned2017-05-08T23:37:19Z
date available2017-05-08T23:37:19Z
date copyrightDecember, 1992
date issued1992
identifier issn0021-8936
identifier otherJAMCAV-26345#747_1.pdf
identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/109599
description abstractThe self-equilibrated end load problem for a hollow circular cylinder is considered using the Papkovitch-Neuber solution to the elastostatic displacement equations of equilibrium; both axi- and nonaxisymmetric solutions are derived. The requirement of zero traction on the surface generators of the cylinder leads to an eigenequation whose roots determine the rate of decay with axial coordinate. The locus of the smaller roots is plotted for circumferential harmonic loadings n = 0, 1, 2, and 3, for different wall thicknesses, and supplement previously known decay rates for the solid section and the circular cylindrical shell which are the extremes of diameter ratio. The loci are of considerable intricacy, and for small wall thickness, simple shell theory and two modes of decay for the semi-infinite plate are employed to identify the various modes of decay. Whereas for the solid cylinder the characteristic decay length of Saint-Venant’sprinciple is the radius (or diameter), for the hollow cylinder it becomes possible to discriminate between “wall thickness” and “rmt” modes of decay according to the limiting behavior as the cylinder assumes shell-like proportions; the one exception is “membrane bending” for which self-equilibrating end loading does not decay as thickness tends to zero.
publisherThe American Society of Mechanical Engineers (ASME)
titleDecay Rates for the Hollow Circular Cylinder
typeJournal Paper
journal volume59
journal issue4
journal titleJournal of Applied Mechanics
identifier doi10.1115/1.2894038
journal fristpage747
journal lastpage753
identifier eissn1528-9036
keywordsCircular cylinders
keywordsCylinders
keywordsWall thickness
keywordsShells
keywordsThickness
keywordsTraction
keywordsDisplacement
keywordsEquations
keywordsGenerators
keywordsMembranes
keywordsCircular cylindrical shells
keywordsStress AND Equilibrium (Physics)
treeJournal of Applied Mechanics:;1992:;volume( 059 ):;issue: 004
contenttypeFulltext


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