FLUID-ELASTIC INSTABILITY OF RECTANGULAR PLATES UNDER SHEARING LOAD IN SUBSONIC FLOW.

J. Tani; Y. Hara; H. Hashimoto; K. Hayashi

FLUID-ELASTIC INSTABILITY OF RECTANGULAR PLATES UNDER SHEARING LOAD IN SUBSONIC FLOW.

J. Tani, Y. Hara, H. Hashimoto, K. Hayashi

ENG - Applied Physics

Research output: Contribution to journal › Article › peer-review

Abstract

The elastic instability of an orthotropic rectangular panel subjected to a shearing load, supported on an elastic foundation and exposed to a subsonic inviscid flow over its upper surface is investigated theoretically. On the basis of small-deflection plate theory and classical linearized potential flow theory, the problem is solved for both clamped and simply supported boundary conditions by means of Galerkin's method and Fourier transforms. It is found that the divergence velocity decreases with an increase in the compressibility of the fluid and the shearing load, but increases with the values of the orthotropic parameters and the spring stiffness of the elastic foundation. It is confirmed that the divergence velocity of a rectangular panel with a small aspect ratio is equal to that of an infinite panel.

Original language	English
Pages (from-to)	1-11
Number of pages	11
Journal	Reports of the Institute High Speed Mechanics, Tohoku University
Volume	52
Publication status	Published - 1986

ASJC Scopus subject areas

Engineering(all)

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title = "FLUID-ELASTIC INSTABILITY OF RECTANGULAR PLATES UNDER SHEARING LOAD IN SUBSONIC FLOW.",

abstract = "The elastic instability of an orthotropic rectangular panel subjected to a shearing load, supported on an elastic foundation and exposed to a subsonic inviscid flow over its upper surface is investigated theoretically. On the basis of small-deflection plate theory and classical linearized potential flow theory, the problem is solved for both clamped and simply supported boundary conditions by means of Galerkin's method and Fourier transforms. It is found that the divergence velocity decreases with an increase in the compressibility of the fluid and the shearing load, but increases with the values of the orthotropic parameters and the spring stiffness of the elastic foundation. It is confirmed that the divergence velocity of a rectangular panel with a small aspect ratio is equal to that of an infinite panel.",

author = "J. Tani and Y. Hara and H. Hashimoto and K. Hayashi",

year = "1986",

language = "English",

volume = "52",

pages = "1--11",

journal = "Reports of the Institute High Speed Mechanics, Tohoku University",

issn = "0370-5315",

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TY - JOUR

T1 - FLUID-ELASTIC INSTABILITY OF RECTANGULAR PLATES UNDER SHEARING LOAD IN SUBSONIC FLOW.

AU - Tani, J.

AU - Hara, Y.

AU - Hashimoto, H.

AU - Hayashi, K.

PY - 1986

Y1 - 1986

N2 - The elastic instability of an orthotropic rectangular panel subjected to a shearing load, supported on an elastic foundation and exposed to a subsonic inviscid flow over its upper surface is investigated theoretically. On the basis of small-deflection plate theory and classical linearized potential flow theory, the problem is solved for both clamped and simply supported boundary conditions by means of Galerkin's method and Fourier transforms. It is found that the divergence velocity decreases with an increase in the compressibility of the fluid and the shearing load, but increases with the values of the orthotropic parameters and the spring stiffness of the elastic foundation. It is confirmed that the divergence velocity of a rectangular panel with a small aspect ratio is equal to that of an infinite panel.

AB - The elastic instability of an orthotropic rectangular panel subjected to a shearing load, supported on an elastic foundation and exposed to a subsonic inviscid flow over its upper surface is investigated theoretically. On the basis of small-deflection plate theory and classical linearized potential flow theory, the problem is solved for both clamped and simply supported boundary conditions by means of Galerkin's method and Fourier transforms. It is found that the divergence velocity decreases with an increase in the compressibility of the fluid and the shearing load, but increases with the values of the orthotropic parameters and the spring stiffness of the elastic foundation. It is confirmed that the divergence velocity of a rectangular panel with a small aspect ratio is equal to that of an infinite panel.

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