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.
|Number of pages||11|
|Journal||Reports of the Institute High Speed Mechanics, Tohoku University|
|Publication status||Published - 1986|
ASJC Scopus subject areas