Modeling and experimental validation of the vibration in an unbalance multi-stage rotor

Authors

  • W. Cruz Universidad Nacional de Colombia, Sede Bogotá, Facultad de Ingeniería, Departamento de Ingeniería Mecánica y Mecatrónica, Grupo de Investigación en Diseño Óptimo Multidisciplinario, Cra. 30 no. 45-03, Bogotá, 11132, Colombia
  • N. Arzola Universidad Nacional de Colombia, Sede Bogotá, Facultad de Ingeniería, Departamento de Ingeniería Mecánica y Mecatrónica, Grupo de Investigación en Diseño Óptimo Multidisciplinario, Cra. 30 no. 45-03, Bogotá, 111321, Colombia, narzola@unal.edu.co
  • O. Araque Department of Mechanical Engineering, Universidad de Ibagué, Ibagué 730001, Colombia

DOI:

https://doi.org/10.15282/jmes.13.3.2019.30.0456

Keywords:

Rotor dynamics, Critical speed, Lateral vibration, Finite element analysis, Stiffness; Damping

Abstract

This work proposes a finite element method model to predict lateral vibration phenomena arising in the multi-stage rotor (seven stages) with unbalance, including damping and gyroscopic effects. The rotor dynamic analysis includes mathematical and experimental determination of the first and second critical speeds of the rotor and the assessment of the effects induced by the different unbalance combinations. The results show that while considering the unbalance effects in the impellers, critical speeds move to lower frequencies compared to normal conditions when the rotor is properly balanced. Finally, the results obtained analytically achieved a good degree of correspondence with experimental validation tests.

References

Rieger NF. The scientific work of jorgen lund and a personal assessment of its significance. Journal of Vibration and Acoustics. 2003; 125: 441-444.

Reyes D. Harmonic analysis of a non-symmetric rotor including gyroscopic effect with MEF. Memories of XVIII Annal International SOMIM Congress Mexico, Mexico. 2010.

Yao J, Liu L, Yang F, Scarpa F, Gao J. Identification and optimization of unbalance parameters in rotor-bearing systems. Journal of Sound and Vibration. 2018; 431: 54-69.

Genta G. Dynamics of rotating systems. Chapter 15. Three-Dimensional Modeling of Rotors based on FEM. Torino Italy: Published by Springer. 2009.

Wang S, Wang Y, Zi Y, Li B, He Z. Reduced-order modeling for rotating rotor-bearing systems with cracked impellers using three-dimensional finite element models. Journal of Sound and Vibration. 2015; 355: 305-321.

Chen Y, Wang J, Guo Z. Critical Speed and Unbalance Response of the Locomotive Motor Rotor. Recent Patents on Mechanical Engineering. 2016; 9(2): 168-176.

Wang S, Zi Y, Wang Y, He Z. A 3D nonlinear finite element method for the dynamic analysis of rotating rotor with a transverse crack. Science China Technological Sciences. 2017; 60(2): 219-231.

Behera SK, Parhi DR, Das HC. Application of genetic algorithm for crack diagnosis of a free-free aluminum beam with transverse crack subjected to axial and bending load. Journal of Mechanical Engineering and Sciences. 2018; 12(3): 3825-3851.

Yang Y, Wang J, Wang X, Dai Y. A general method to predict unbalance responses of geared rotor systems. Journal of Sound and Vibration. 2016; 381: 246-263.

Green R. Gyroscopic effects of the critical speeds of flexible rotors. Journal Applied Mechanics. 1948; 15(4): 369-376.

Yamada H, Taura H, Kaneko S. Numerical and experimental analyses of the dynamic characteristics of journal bearings with square dimples. Journal of Tribology. 2018; 140(1): 011703.

ISO. International organization for standardization. Mechanical Vibration - Evaluation of machine vibration by measurements on non-rotating. Technical Paper: 10816; 1998.

Mendivelso C. Modeling and analysis of the rotor dynamics behavior of an asymmetric axis subjected to combined lateral and torsional loads. Master's Thesis in Mechanical Engineering, Universidad Nacional de Colombia. 2014.

Karimkhany M, Ranjbar M, Amirinejhad MK. Effects of Impeller Gap on Rotor Vibration in a High Speed Centrifugal Compressor: A Numerical and Experimental Analysis. International Journal of Engineering. 2017; 30(5): 814-820.

Downloads

Published

2019-09-27

How to Cite

[1]
W. Cruz, N. Arzola, and O. Araque, “Modeling and experimental validation of the vibration in an unbalance multi-stage rotor”, J. Mech. Eng. Sci., vol. 13, no. 3, pp. 5703–5716, Sep. 2019.