A Contact Problem for an Infinite Elastic Plate, Strengthened by Two Parallel Infinite and Semi-Infinite Stringers
Journal Title: Հայաստանի գիտությունների ազգային ակադեմիայի տեղեկագիր․ Մեխանիկա - Year 2013, Vol 66, Issue 1
Abstract
In this paper a contact problem for an isotropic homogeneous infinite elastic plate, strengthened by two parallel infinite and semi-infinite elastic stringers, is considered. The plate-stringer contacting pair is deformed by concentrated force, applied on the end of the semi-infinite elastic stringer. The solution of considered contact problem by means of Fourier generalized real integral transform is reduced to solution of a functional equation on the real axis with respect to unknown functions Fourier transforms. The closed-form solution of the contact problem is constructed. The intensities of tangential contact forces and axial (normal) stresses arising in stringers are determined. Asymptotic formulas for intensities of tangential contact forces and axial (normal) stresses arising in semi-infinite stringer describing their behavior as near, as well far from the force application point are obtained.
Authors and Affiliations
Karen Sargsyan, Hamlet Hovhannisyan, B. A. Meltonyan
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