IMPROVED FREE EDGE CONDITIONS FOR THE DIFFERENTIAL EQUATION OF A FLAT PLATE SUBJECTED TO ANTISYMMETRICAL, SPACE-VARIABLE NORMAL LOADING ON ITS FACES.
COLUMBIA UNIV NEW YORK LUBRICATION RESEARCH LAB
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In a previous report, a differential equation was derived for the pseudo mid-plane displacement of a flat plate subjected to antisymmetrical, space-variable normal stresses on its exposed faces. The true mid-plane displacement and various other quantities of interest, like stresses, stress resultants and couples and displacements, are derivable from the pseudo mid-plane displacement by differential operations. The asymptotic theory of Friedrichs and Dressler is implemented to provide improved boundary conditions for the case of a free edge correct to Ohsq. Generalized expressions for the stress distribution, valid uniformly from the plate interior through the transition region to the free edge, are obtained. Author
- Structural Engineering and Building Technology