The flow of concentrated force through open elastic rod to the contour of the curved hole in infinite plate

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.

Authors and Affiliations

Andrii Siaskyi, Volodymyr Siaskyi, Natalia Shevtsova

Keywords

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  • EP ID EP257713
  • DOI 10.33108/visnyk_tntu2017.03.016
  • Views 33
  • Downloads 0

How To Cite

Andrii Siaskyi, Volodymyr Siaskyi, Natalia Shevtsova (2017). The flow of concentrated force through open elastic rod to the contour of the curved hole in infinite plate. Вісник Тернопільського національного технічного університету, 87(3), 16-25. https://europub.co.uk/articles/-A-257713