Experimental Investigation on Radial Ball Bearing Parameters Using Taguchi Method

Document Type: Research Paper


1 Mechanical Engineering, Assistant professor, NBKR institute of science and Technology, Nellore, India



4 Department of Mechanical Engineering, CMR College of Engineering and Technology Kandlakoya, Hyderabad, 501401 India


In this work, characteristics of various ball bearing parameters are studied under different loads and rotational speeds. By using Dimensional Analysis (DA), dimensionless parameters are computed which provides solution for a group of parameters. This analysis can be accomplished by using the Buckingham π-theorem. DA leads to reduction of the number of independent parameters involved in a problem. These independent parameters get expressed as dimensionless groups. These dimensionless groups are always ratios of important physical quantities involved in the problem of interest. In modeling and experimentation, its main function is to reduce the amount of independent variables, simplify the solution, and generalize the results. It becomes an effective method, especially if a complete mathematical model of the investigated process is not known. Moreover, in the present work the Buckingham π-theorem is applied to find the influencing parameter π5 by using the Taguchi method.


Main Subjects

[1]   Kunes, J., Similarity and modeling in science and Engineering, Cambridge International Science Publishing, 2012.

[2]   Pinkus, O., The Reynolds Centennial: A Brief History of the Theory of Hydrodynamic Lubrication, Journal of Tribology, 109, 1987, pp. 2-20.

[3]   Cameron, A., Wood, L., The Full Journal Bearing, Proceedings of Institution of Mechanical Engineers, London, 161, 1949, pp. 59.

[4]   Wilcock, D.F., Pinkus, O., Effect of Turbulence and Viscosity Variation on Dynamic Coefficients of Fluid Film Journal Bearings, Journal of Tribology, 107, 1985, pp. 256-262.

[5]   Petrusevich, A.I., Fundamental conclusions from the contact-hydrodynamic theory of lubrication, Izvestiya Akademii Nauk SSR, 2, 1951, pp. 209.

[6]   Ocvirk, F.W., Short Bearing Approximation for Full Journal Bearings, NACA, TN - 2808, 1952.

[7]   Oliver, D.R., Load Enhancement Effects due to Polymer Thickening in a Short Model Journal Bearing, Journal of Non-Newtonian Fluid Mechanics, 30, 1988, pp.185-196.

[8]   Sommerfeld, A., Gaussian algorithm for solving finite difference equations of Reynolds equation, Zeitschrift für angewandte Mathematik und Physik, 50, 1904, pp. 77-155.

[9]   Wilcock, D.F., Pinkus, O., Effect of Turbulence and Viscosity Variation on Dynamic Coefficients of Fluid Film Journal Bearings, Journal of Tribology, 107, 1985, pp. 256-262.

[10] Raimondi, A.A., Boyd, J., A Solution for the Finite Journal Bearing and Its Application to Analysis and Design-III, ASLE Transactions, 1(1), 1958, pp. 159-174.

[11] Goneka, P.K., Booker, J.F., Spherical Bearings: Static and Dynamic Analysis via Finite Element Method, Journal of Lubrication Technology, 102, 1980, pp. 308-319.

[12] Ng, C.W., Pan, C.H.T., A Linearised Turbulent Lubrication Theory, Journal of Basic Engineering, 87(3), 1965, pp. 625-688.

[13] Lund, J.W., The Stability of an Elastic Rotor in Journal Bearing with Flexible Damped Supports, Journal of Applied Mechanics, 32(4), 1965, pp. 911-92.

[14] Abed Alr Zaq, S., Alshqirate, M.T., Mahmoud, H., Dimensional analysis and empirical correlations for heat transfer and pressure drop in condensation and evaporation processes of flow inside micro pipes, Journal of the Brazil Society of Mechanical Science & Engineering, 34(1), 2012, pp. 89-96.

[15] Storey, B.A., Fluid dynamics and heat transfer - An introduction to the fundamentals, Olin College, 2015.