LOAD TRANSFER FROM TWO PARALLEL ELASTIC INFINITE AND FINITE STRINGERS TO ELASTIC HOMOGENEOUS INFINITE PLATE
Journal Title: Հայաստանի գիտությունների ազգային ակադեմիայի տեղեկագիր․ Մեխանիկա - Year 2017, Vol 70, Issue 1
Abstract
In the present paper a contact problem on load transfer from infinite and finite two parallel elastic stringers to isotropic homogeneous elastic infinite plate is considered. It is assumed, that the elastic stringers are placed non- symmetrically with respect to the horizontal axis, are attached to the plate rigidly and have different elastic characteristics and cross-sectional areas. The bodies in contact (plate-stringers) are deformed under influence of axial concentrated forces, applied on the stringers, as well as uniformly distributed horizontal tensions of constant intensity, acting at the infinity of the plate. Solution of the problem is mathematically formulated as a system of constrained singular integral equations of the first kind with moving singularity with kernels consisted of singular and regular parts. The solution of that system is reduced to solution of quasi completely regular infinite system of linear algebraic equations using the known mathematical techniques of Fourier transform and Chebyshev polynomials. Intensities of tangential contact stresses distributions are determined. Asymptotic formulas for infinite stringer describing the behavior of stresses near and far from force application point are obtained.
Authors and Affiliations
H. V. Hovhannisyan, K. S. Sargsyan, J. S. Sukiasyan
Keywords
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