The solution of the contact problems for the elastic half-plane and the infinite plate which are strengthened by partially glued heterogeneous stringers
Journal Title: Հայաստանի գիտությունների ազգային ակադեմիայի տեղեկագիր․ Մեխանիկա - Year 2008, Vol 61, Issue 1
Abstract
This work observes contact problems for the elastic half-plane and the infinite plate which in the line of xoy its average plane) is strengthened by the heterogeneous elastic stringers (overlays) y = 0 (for the plate which consist of two semi-infinite pieces and one separated finite piece another is one elastic characteristic. It is supposed that contact interaction in finite part is realized into a thin layer of glue (another physico-mechanical characteristic) and stringers are deformed under the action of horizontal forces. Using generalized Fourier transformation the determinational problem of unknown contact stresses is reduced to the system of singular integro-differential equations within the finite intervals. The solution is constructed using Chebishev polynomials. The particular cases are considered and the character of the change contact stresses is illustrated in the different contact parts.
Authors and Affiliations
A. V. Kerobyan
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