Model Development for Investigation of Localized Defects in Taper Roller Bearings Using Matrix Method of Dimensional Analysis

Abstract Catastrophic failures of the rotating machineries can be avoided by tracing the faults generated in the rolling contact bearings used for supporting these machines and are important sources of noise, vibration as well as sudden stoppage of the entire production or interruption of processes. A generalized model is developed using Matrix Method of Dimensional Analysis (MMDA) to establish dimensionless correlation between the response and consequence parameters for the assessment of localized surface defects in the different components of taper roller bearings tested on a developed test rig. Response surface methodology (RSM) is employed for the experimentation and to explore the dependence of various factors on the vibrations of these bearings. A numerical analysis performed in the study showed the effectiveness of MMDA model along with frequency domain scrutiny of the vibration data for detection of localized bearing defects.

[1]  R. G. Desavale,et al.  Antifriction Bearings Damage Analysis Using Experimental Data Based Models , 2013 .

[2]  T. A. Harris,et al.  Rolling Bearing Analysis , 1967 .

[3]  Farid Golnaraghi,et al.  Effect of localized faults on chaotic vibration of rolling element bearings , 2008 .

[4]  R. H. Myers,et al.  Response Surface Methodology: Process and Product Optimization Using Designed Experiments , 1995 .

[5]  N. Tandon,et al.  Vibration Response of Rolling Element Bearings in a Rotor Bearing System to a Local Defect Under Radial Load , 2006 .

[6]  N. Tandon,et al.  An analytical model for the prediction of the vibration response of rolling element bearings due to a localized defect , 1997 .

[7]  P. D. McFadden,et al.  The vibration produced by multiple point defects in a rolling element bearing , 1985 .

[8]  Najm Obaid Salim Alghazali.  A New Method of Dimensional Analysis ( Fluid Mechanics Applications ) , 2012 .

[9]  Hiroyuki Ohta,et al.  VIBRATION CHARACTERISTICS OF TAPERED ROLLER BEARINGS , 1996 .

[10]  Thomas Szirte,et al.  Applied dimensional analysis and modeling , 1997 .

[11]  Minel J. Braun,et al.  Vibration Monitoring and Damage Quantification of Faulty Ball Bearings , 2005 .

[12]  Qing-Ming Tan,et al.  Dimensional Analysis: With Case Studies in Mechanics , 2011 .

[13]  Michael D. Bryant,et al.  Dynamic Modeling of Rolling Element Bearings With Surface Contact Defects Using Bond Graphs , 2011 .

[14]  Eric J. Hahn,et al.  Transient rotordynamic modeling of rolling element bearing systems , 2001 .

[15]  Nizami Aktürk,et al.  An Investigation of Rolling Element Vibrations Caused by Local Defects , 2008 .

[16]  P. D. McFadden,et al.  Model for the vibration produced by a single point defect in a rolling element bearing , 1984 .

[17]  S. Harsha.  Nonlinear dynamic analysis of rolling element bearings due to cage run-out and number of balls , 2006 .

[18]  J. O. Rawlings,et al.  Applied Regression Analysis: A Research Tool , 1988 .

[19]  T. P. Ryan,et al.  Modern Experimental Design , 2007 .

[20]  R. Venkatachalam,et al.  Experimental and Numerical Studies on Spherical Roller Bearings Using Multivariable Regression Analysis , 2014 .