Minimization of fracture parameters for friction pair hub

Authors

  • В. М. Мирсалимов Institute of Mathematics and Mechanics, Azerbaijan National Academy of Sciences, Azerbaijan
  • П. Э. Ахундова Institute of Mathematics and Mechanics, Azerbaijan National Academy of Sciences, Azerbaijan

Keywords:

friction pair, hub, plunger, temperature, rough friction surface, minimization of stress intensity factors

Abstract

A fracture mechanics problem for the friction pair hub during the operation is considered. It is assumed that near the friction surface the hub is weakened by rectilinear crack. Based on the model of friction rough surface and minimax criterion the theoretical analysis on the definition of displacement function of external contour points of friction pair hub, minimizes the fracture parameters of hub, is carried. Force calculation scheme most corresponds to physical nature of actual loading is used. In the place of plunger and hub contact the normal distributed loads and the corresponding to loads friction forces act. The friction forces to be determined from the solution of the problem of plunger and hub contact interaction, taking into account the roughness of real friction surface, frictional heat generation and surface wear of the contact pair parts. The problem of equilibrium of the friction pair hub with rectilinear crack reduces to the solution of a singular integral equation with kernel of Cauchy type. The obtained displacement function of external contour points of the hub provides increase of load bearing capacity of the bushing contact pair. As an example the calculation for the contact pair of borehole sucker rod oil pump is considered.

Author Biographies

В. М. Мирсалимов, Institute of Mathematics and Mechanics, Azerbaijan National Academy of Sciences

Doctor of Physical and Mathematical Sciences

П. Э. Ахундова, Institute of Mathematics and Mechanics, Azerbaijan National Academy of Sciences

Candidate of Physical and Mathematical Sciences

References

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Panasyuk, V. V., Savruk M. P., Datsyshyn A. P. The stress distribution around cracks in plates and shells. Kiev Naukova Dumka, 1976.

Mirsalimov, V. M. Non-one-dimensional elastoplastic problems. Moscow: Nauka, 1987.

Published

2015-07-14

Issue

Section

Dynamics and Strength of Machines