On the diffusion of load from a stiffener into an infinite wedge-shaped plate

J.B. Alblas, W.J.J. Kuypers

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Abstract

The stress-distribution in a wedge-shaped plate with a stiffener upon one of the edges is considered. The stiffener is loaded by an axial force. The problem leads to the solution of a biharmonic equation with one mixed boundary condition. The problem is reduced to the standard problem of the stress-distribution in a wedge. The reduction has been executed by the solution of a difference equation for the transform of the shear-stress along the stiffened edge. For this solution we give two representations: one by means of an infinite product and one by means of an integral. Full discussion is given on asymptotic behaviour and on the numerical aspects.
Original languageEnglish
Pages (from-to)429-439
Number of pages11
JournalApplied Scientific Research, Section A : Mechanics, Heat, Chemical Engineering, Mathematical Methods
Volume15
Issue number1
DOIs
Publication statusPublished - 1966

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Wedge
Stress Distribution
Biharmonic Equation
Infinite product
Mixed Boundary Conditions
Shear Stress
Difference equation
Asymptotic Behavior
Transform

Cite this

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abstract = "The stress-distribution in a wedge-shaped plate with a stiffener upon one of the edges is considered. The stiffener is loaded by an axial force. The problem leads to the solution of a biharmonic equation with one mixed boundary condition. The problem is reduced to the standard problem of the stress-distribution in a wedge. The reduction has been executed by the solution of a difference equation for the transform of the shear-stress along the stiffened edge. For this solution we give two representations: one by means of an infinite product and one by means of an integral. Full discussion is given on asymptotic behaviour and on the numerical aspects.",
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On the diffusion of load from a stiffener into an infinite wedge-shaped plate. / Alblas, J.B.; Kuypers, W.J.J.

In: Applied Scientific Research, Section A : Mechanics, Heat, Chemical Engineering, Mathematical Methods, Vol. 15, No. 1, 1966, p. 429-439.

Research output: Contribution to journalArticleAcademicpeer-review

TY - JOUR

T1 - On the diffusion of load from a stiffener into an infinite wedge-shaped plate

AU - Alblas, J.B.

AU - Kuypers, W.J.J.

PY - 1966

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N2 - The stress-distribution in a wedge-shaped plate with a stiffener upon one of the edges is considered. The stiffener is loaded by an axial force. The problem leads to the solution of a biharmonic equation with one mixed boundary condition. The problem is reduced to the standard problem of the stress-distribution in a wedge. The reduction has been executed by the solution of a difference equation for the transform of the shear-stress along the stiffened edge. For this solution we give two representations: one by means of an infinite product and one by means of an integral. Full discussion is given on asymptotic behaviour and on the numerical aspects.

AB - The stress-distribution in a wedge-shaped plate with a stiffener upon one of the edges is considered. The stiffener is loaded by an axial force. The problem leads to the solution of a biharmonic equation with one mixed boundary condition. The problem is reduced to the standard problem of the stress-distribution in a wedge. The reduction has been executed by the solution of a difference equation for the transform of the shear-stress along the stiffened edge. For this solution we give two representations: one by means of an infinite product and one by means of an integral. Full discussion is given on asymptotic behaviour and on the numerical aspects.

U2 - 10.1007/BF00411576

DO - 10.1007/BF00411576

M3 - Article

VL - 15

SP - 429

EP - 439

JO - Applied Scientific Research, Section A : Mechanics, Heat, Chemical Engineering, Mathematical Methods

JF - Applied Scientific Research, Section A : Mechanics, Heat, Chemical Engineering, Mathematical Methods

SN - 0365-7132

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