The flow of concentrated force through open elastic rod to the contour of the curved hole in infinite plate https://doi.org/10.33108/visnyk_tntu2017.03.016

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Andrii Siaskyi
Volodymyr Siaskyi
Nataliia Shevtsova

Abstract

The new approach to the problem of the flow to the contour of the curved hole in an infinite isotropic plate of concentrated force, applied to the end of reinforcing open elastic bar of constant rectangle cross
section, has been proposed. The boundary conditions of the problem at the section of bonding of the rib with contour of the hole in the plate have been formulated as equalities of deformations. The mathematical model of the problem has been constructed as the system of singular integral and differential equations to determine the contact forces between the plate and the rib and internal forces and moments in the reinforcement. The structure of unknown functions at the ends of area of reinforcement is determined. The approximate solution of the problem
has been founded by the method of mechanical quadrature and collocation.

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