Model updating for rotor-discs system and its application in dynamic coefficients identification of journal bearings

Abstract An accurate finite element (FE) model of the rotor-discs system is essential on the field identification of dynamic coefficients for journal bearings. This paper proposes a novel model updating method using the measured modal parameters. In this method, system mass and stiffness matrices were firstly updated by the particle swarm optimization (PSO) algorithm, in which the sensitivity analysis was used to select the appropriate variables to be optimized. Based on the updated results, the damping matrix defined as an improved Rayleigh Damping was then determined according to the experimental modal frequencies and damping ratios. To evaluate the effectiveness of this method, the FE model of a dual rotor-discs system was updated. The frequencies responses predicted by the updated model perform a good agreement with that from measured. Moreover, to validate the reliability of the updated model, the identifications of the dynamic coefficients were conducted on the flexible rotor test rig experimentally. The results demonstrated that the updated model has higher accuracy in field identification of dynamic coefficients than the original model, especially the system under critical speed. This study provides a feasibility strategy for updating the rotor-discs system and thereby establishes a foundation for further parameters identification and dynamic analysis.

[1]  Michael I. Friswell,et al.  Model updating and validation of a dual-rotor system , 2014 .

[2]  Akhavan Niaki Seyed Taghi,et al.  A Comparative Study of Four Evolutionary Algorithms for Economic and Economic-Statistical Designs of MEWMA Control Charts , 2011 .

[3]  Brian K. Weaver,et al.  Model-based interpolation-iteration method for bearing coefficients identification of operating flexible rotor-bearing system , 2017 .

[4]  John E. Mottershead,et al.  Model Updating In Structural Dynamics: A Survey , 1993 .

[5]  M. S. Safizadeh,et al.  Prediction of oil whirl initiation in journal bearings using multi-sensors data fusion , 2020 .

[6]  J. K. Dutt,et al.  Model updating of rotors supported on journal bearings , 2014 .

[7]  Luis San Andrés,et al.  Experimental Identification of Bearing Dynamic Force Coefficients in A Flexible Rotor—Further Developments , 2007 .

[8]  E. Guenat,et al.  Dynamic force coefficients identification on air-lubricated herringbone grooved journal bearing , 2020 .

[9]  Bo-Suk Yang,et al.  Applications of hybrid optimization techniques for model updating of rotor shafts , 2006 .

[10]  Jukka Corander,et al.  Orthogonal parallel MCMC methods for sampling and optimization , 2015, Digit. Signal Process..

[11]  J. K. Dutt,et al.  Modal analysis of rotor-shaft system under the influence of rotor-shaft material damping and fluid film forces , 2012 .

[12]  S. Hosseini.  Dynamic stability and bifurcation of a nonlinear in-extensional rotating shaft with internal damping , 2013 .

[13]  H. D. Nelson.  A Finite Rotating Shaft Element Using Timoshenko Beam Theory , 1980 .

[14]  F. Gu,et al.  Response analysis of an accelerating unbalanced rotating system with both random and interval variables , 2020, Journal of Sound and Vibration.

[15]  A. Gh. Podoleanu,et al.  Comparative assessment of three algorithms to control a deformable mirror for an adaptive optics system with no wavefront sensor , 2011, BiOS.

[16]  Zongli Lin,et al.  Identification of dynamic parameters of active magnetic bearings in a flexible rotor system considering residual unbalances , 2018 .

[17]  Xinkuan Wang,et al.  Numerical investigation of journal misalignment on the static and dynamic characteristics of aerostatic journal bearings , 2018, Measurement.

[18]  Yongxin Yuan,et al.  An iterative method for updating gyroscopic systems based on measured modal data , 2011, Appl. Math. Comput..

[19]  Sam Kwong,et al.  Genetic algorithms and their applications , 1996, IEEE Signal Process. Mag..

[20]  Kai Ping Yu,et al.  Finite element model updating of damped structures using vibration test data under base excitation , 2015 .

[21]  M. Byrtus,et al.  Dynamic coefficients and stability analysis of finite-length journal bearings considering approximate analytical solutions of the Reynolds equation , 2019, Tribology International.

[22]  Miroslav Pástor,et al.  Modal Assurance Criterion , 2012 .

[23]  John E. Mottershead,et al.  Finite Element Model Updating in Structural Dynamics , 1995 .

[24]  Hongchuan Cheng,et al.  Research on time-varying stiffness of bearing based on local defect and varying compliance coupling , 2019, Measurement.

[25]  H. D. Nelson,et al.  Finite Element Simulation of Rotor-Bearing Systems With Internal Damping , 1977 .

[26]  Hadi Mokhtari,et al.  Comparison of particle swarm optimization and simulated annealing for locating additional boreholes considering combined variance minimization , 2016, Comput. Geosci..

[27]  Lin Gan,et al.  Bearing-Rotor Coupled System Stability Optimization Design Based on Genetic Algorithm , 2011 .

[28]  Sunil K. Sinha,et al.  Dynamic characteristics of a flexible bladed-rotor with Coulomb damping due to tip-rub , 2004 .

[29]  Saeed Ziaei-Rad,et al.  FINITE ELEMENT MODEL UPDATING OF ROTATING STRUCTURES USING DIFFERENT OPTIMISATION TECHNIQUES , 2005 .

[30]  Fengshou Gu,et al.  A Novel Method for the Dynamic Coefficients Identification of Journal Bearings Using Kalman Filter , 2020, Sensors.

[31]  Yongxin Yuan,et al.  A direct updating method for damped gyroscopic systems using measured modal data , 2010 .

[32]  J. K. Dutt,et al.  Model updating of rotors supported on ball bearings and its application in response prediction and balancing , 2013 .