An optimized bearing parameter identification approach from vibration response spectra

Rajasekhara Reddy Mutra1 , Srinivas J2

1, 2Notational Institute of Technology, Rourkela, India

1Corresponding author

Journal of Vibroengineering, Vol. 21, Issue 6, 2019, p. 1519-1532.
Received 1 June 2018; received in revised form 12 August 2018; accepted 23 August 2018; published 30 September 2019

Copyright © 2019 Rajasekhara Reddy Mutra, et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Creative Commons License

In the present work, an effective identification methodology bearing dynamic parameters using measured vibration responses at the bearing is proposed. The flexible rotor is analyzed by using finite element beam model with nonlinear hydrodynamic bearing forces due to floating ring bearing supports. The frequency domain responses at different operating speeds are initially obtained in both the lateral directions. The error function is formulated as an average difference in amplitudes of two lateral displacements at a bearing node with known reference signals over a frequency range. The design variables are the speed dependent direct and cross-coupled stiffness and damping parameters of the bearing. With the side constraints on the variables, the error is minimized by using a modified particle swarm optimization scheme. The accuracy of the approach is tested with noisy input signals.

Graphical Abstract

  • Identification of the unknown bearing stiffness and damping coefficients from the known responses in a less computational time
  • Measurements of lateral displacements at the bearings are simultaneously taken to achieve more accuracy in identification of parameters
  • Objective function considered is the sum of the mean square errors of displacements in both directions
  • Cross-coupled stiffness and damping coefficients are also calculated at the two bearings
  • The effect of stiffness of the bearing casing is accounted for obtaining the dynamic responses

Keywords: bearing force coefficients, floating ring bearings, frequency response, hydrodynamic forces, nonlinear optimization.


The authors are grateful to the National Institute of Technology, Rourkela, Odisha, India for extending their facilities to carry out the research work.


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