THE EFFECT OF CHAMBERS ANGLES’ POSITION ON THE EXTERNAL AND INTERNAL PARTS OF THE HYDROSTATODYNAMIC BEARING OF DOUBLE TYPE ON ITS SUPPORTING CAPACITY

Владимир Иосифович Назин

Abstract


The task is to study the bearing capacity of the double type bearing at different angular positions of the chambers on the outer and inner working surfaces. It is given a mathematical model of a double type hydrostatodynamic bearing in a stationary formulation, which makes it possible to determine its bearing capacity. It is considered the cases of laminar and turbulent flow of the working fluid in the slit path of the double type bearing. Both gradient and portable flows of the working fluid are considered in recording the flow of working fluid along the contour of the 1st chamber. The expression for the flow rate of the working fluid at the entrance to the chambers is written for the case of using the jet as a pressure compensator. The cost balance equations and the Reynolds equations, written for both the outer and inner working surfaces of the double type bearing, were solved jointly. Applied assumptions are usually taken in the hydrodynamic theory of lubrication in writing the Reynolds equations. The most common V.N. Constantinescu method was applied for turbulence coefficients. The expression for the balance of expenditure equations and the Reynolds equations are expanded to the dimensionless type. The most effective numerical methods for the numerical implementation of the expenditure balance equations and Reynolds equations are analyzed and applied. The most economical finite-difference method in combination with the longitudinal-transverse sweep method was applied to solve the Reynolds equation. The accuracy of the solution was assigned when determining the pressures in the chambers and on the inter-chamber jumpers. Geometric and operating parameters of the double type bearing were assigned based on currently existing recommendations for the design of fluid-friction bearings. The results of the calculation of the bearing capacity of the double type bearing for different camera angles on the external and internal parts of this bearing are obtained. The results of the calculation of the bearing capacity of the double type bearing in the form of graphs are given. The analysis of the obtained results was made and conclusions were made on the obtained results, allowing designers to more efficiently design bearings of this type.

Keywords


mathematical model; bearing capacity; hydrostatodynamic bearing; turbulent flow; numerical methods; calculation results

References


Ravikovich, Ju. A., Ermilov, Ju. I., Holobuev, D. P. i dr. Eksperimental'noe issledovanie raboty podshipnikov s zhidkostnoy smazkoy v neshtatnykh rezhimakh [Experimental study of the operation of bearings with liquid lubrication in abnormal conditions]. Trudy MAI, 2011, vol. 46, pp. 1-10.

Teylor, D. Teoriya turbulentnogo techeniya smazki i ee primenenie k raschetu podshipnikov [Theory of turbulent flow of lubricant and its application to the calculation of bearings]. The works of the American Society of Mechanical Engineers. Friction and lubrication problems, ser. F, 1974, vol. 96, no. 1, pp. 37-51.

Sgibnev, A. V., Bolotin, V. V. Primenenie gidrostaticheskikh podshipnikov s turbulentnymi drosselyami na vkhode v kachestve opor shtoka v dinamicheskikh gidrotsilindrakh [Application of hydrostatic bearings with turbo-belt chokes at the inlet as rod bearings in dynamic hydraulic cylinders]. Izv. Vuzov, Mashinostroenie Publ., 2004, no. 5, pp. 27-35.

Shatokhin, S. N., Jaroshenko, S. A. Vliyanie vysokoy chastoty vrashcheniya na ekspluatatsionnye kharakteristiki adaptivnogo gidrostaticheskogo podshipnika [Effect of high rotational speed on the performance characteristics of an adaptive hydrostatic bearing]. Problems of mechanical engineering and machine reliability, 1990, no. 2, pp. 40-46.

Nazіn V. І. Radіal'niy gіdrostatodinamіchniy kombіnovaniy pіdshipnik [Radial hydrostatodynamic combined bearing]. Patent Ukraine, №. 112922, 2016.

Nazіn V. І. Radіal'no-uporniy gіdrostatodinamіchniy pіdshipnik [Angular contact hydrostatic bearing]. Patent Ukraine, №. 10799709, 2015.

Konstantinesku, V. N. Gidrodinamicheskaya smazka: turbulentnost' i rodstvennye yavleniya [Hydrodynamic lubrication: turbulence and related phenomena]. Materials of the general discussion at the symposium of the American Society of Mechanical Engineers 1973. Friction and lubrication problems, ser. F, 1974, vol. 96, no. 1, pp. 198-208.

Krylov, V. I. Vychislitel'nye metody [Computational methods]. Moscow, Nauka Publ., 1977, vol. 2. 400 p.




DOI: https://doi.org/10.32620/aktt.2019.4.09