Non- classical boundary value problems of elastically fastened on the edge, partially loaded, round orthotropic plate
Journal Title: Հայաստանի գիտությունների ազգային ակադեմիայի տեղեկագիր․ Մեխանիկա - Year 2016, Vol 69, Issue 3
Abstract
The problem of bending of orthotropic circular plate resiliently clamped along the contour is solved by taking into account the transverse shear and compression when a uniformly distributed load acts in the central part of the plate..For the loaded part of the plate the well-known solution of Hambardzumyan ([1], str.177,178) is taken, which, by taking into account the absence of corner point in the plate centre, contains two constants of integration. To satisfy the conditions of the boundary elastic fixation, the smoothness of the deforming plate, and the continuity of the bending moment M r at the boundary of separation of loaded and non-loaded parts of the plate, a linear system of equations is obtained with respect to the five integration constants. By solving this system all the unknown functions are found. A numerical example has been considered. A conclusion has been made based on the obtained dimensionless calculation values of the plate. In particular it has been shown that in the case of taking into account the compression the bending moment M has a first kind discontinuity on the boundary of separation of loaded and non-loaded parts of the plate.
Authors and Affiliations
Razmik Kirakosyan, Seyran Stepanyan
Keywords
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