IMPROVED FREE EDGE CONDITIONS FOR THE DIFFERENTIAL EQUATION OF A FLAT PLATE SUBJECTED TO ANTISYMMETRICAL, SPACE-VARIABLE NORMAL LOADING ON ITS FACES.
Abstract
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 O(h)sq. Generalized expressions for the stress distribution, valid uniformly from the plate interior through the transition region to the free edge, are obtained. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 01, 1968
- Accession Number
- AD0672572
Entities
People
- Des R. Sood
- H. G. Elrod
Organizations
- Columbia University