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MATHEMATICAL MODEL OF VISCOPLASTIC LUBRICATION OF FRICTION BEARING WITH DEFORMABLE BASE

Abstract

The analysis technique of the radial bearing with a deformable base on the ground of Reynolds equation analog for viscoplastic lubrication, and of Lame equation for ‘thin layer’ case is given. The technique permitting to form the accurate self-similar solution to the problem considered is offered. The obtained analytical dependences allow estimating the effects of the nondimensional plasticity parameter and the elastic hydrodynamic parameter on the bearing principle operation factors. The results show that the bearing capacity and the frictional force values grow with the increase of plasticity parameter and the elastic hydrodynamic parameter values. In the limiting case when the elastic hydrodynamic parameter goes to infinity, the bearing capacity value and the frictional force go to the proper values for the bearing with a rigid base. In the admitted approximation, the bearing capacity and the frictional force value are directly proportional to the plasticity parameter.

About the Authors

Kamil Samedovich Akhverdiyev
Rostov State Transport University.
Russian Federation


Igor Vladimirovich Kolesnikov
Rostov State Transport University,
Russian Federation


Murman Alexandrovich Mukutadze
Rostov State Transport University.
Russian Federation


Inna Sergeyevna Semenko
Rostov State Transport University.
Russian Federation


References

1. Tsung Yen Na. The Non-Newtonian Squeeze Film. J. Basic Engineering. 1966, vol. 88, iss. 3, p. 687.

2. Kristensen, R. Vvedeniye v teotiyu vyazkouprugosti. [Introduction to viscoelasticity theory.] Moscow: Mashinostroyeniye, 1974, 333 p. (in Russian).

3. Akhverdiyev, K.S. Nelineynaya zadacha o neustanovivshemsya dvizhenii vyazkoplastichnoy zhidkosti mezhdu shipom i podshipnikom. [Nonlinear problem on viscoplastic fluid nonsteady flow between nib and bearing.] Doklady AN AzSSR, 1977, vol. 33, no. 11, pp. 19–25 (in Russian).

4. Akhverdiyev, K.S. Nelineynyye effekty vozdeystviya vyazkoplastichnoy smazki na ship podshipnika skolzheniya. [Nonlinear effects of viscoplastic lubricant on friction bearing nib.] Doklady AN AzSSR, 1977, vol. 34, no. 12, pp. 30–35 (in Russian).

5. Akhverdiyev, K.S. O dvizhenii vyazkoplastichnoy smazki v podshipnike. [On viscoplastic lubricant motion in bearing.] Doklady AN AzSSR, 1977, vol. 33, no. 3, pp. 7–13 (in Russian).

6. Akhverdiyev, K.S. Nelineynyye effekty vozdeystviya yazkoplastichnoy smazki na ustoychivost dvizheniya shipa v podshipnike. [Nonlinear viscoplastic lubricant effects on nib dynamical stability in bearing.] Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 1978, no. 5, pp. 86–92 (in Russian).


Review

For citations:


Akhverdiyev K.S., Kolesnikov I.V., Mukutadze M.A., Semenko I.S. MATHEMATICAL MODEL OF VISCOPLASTIC LUBRICATION OF FRICTION BEARING WITH DEFORMABLE BASE. Vestnik of Don State Technical University. 2012;12(8):18-22. (In Russ.)

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ISSN 2687-1653 (Online)