American Journal of Industrial Engineering
ISSN (Print): 2377-4320 ISSN (Online): 2377-4339 Website: https://www.sciepub.com/journal/ajie Editor-in-chief: Ajay Verma
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American Journal of Industrial Engineering. 2019, 6(1), 19-25
DOI: 10.12691/ajie-6-1-3
Open AccessReview Article

Review of Rotor Balancing Techniques

Ahmed A. Ibraheem1, , Nouby M. Ghazaly2 and G. T. Abd el- Jaber2

1Mechanical Engineering Department, General Petroleum Company GPC, Cairo, Egypt

2Mechanical Engineering Department, South Valley University, Qena, Egypt

Pub. Date: December 22, 2019

Cite this paper:
Ahmed A. Ibraheem, Nouby M. Ghazaly and G. T. Abd el- Jaber. Review of Rotor Balancing Techniques. American Journal of Industrial Engineering. 2019; 6(1):19-25. doi: 10.12691/ajie-6-1-3

Abstract

This paper reviews the history of rotor balancing researches and techniques to avoid balancing problem and its consequences. The discussion in site and factory methods includes influence coefficient, conventional software, no phase and frequency response methods to balance rotors. The survey present theory used in computational algorithms related to Eigensystem realization algorithm (ERA) and its application to develop FRF.

Keywords:
balancing single plan balancing four run methods frequency response function self-balancing systems

Creative CommonsThis work is licensed under a Creative Commons Attribution 4.0 International License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/

References:

[1]  H.H. Jeffcott, The lateral vibration of loaded shafts in the neighborhood of a whirling speed the effect of want of balance, Philosophical Magazine, 1919, Series 37, PP 304-314.
 
[2]  International Organization of Standardization, Mechanical vibration - Balance quality requirements for rotors in a constant (rigid) state - Part 1: Specification and verification of balance tolerances, ISO 1940-1:2003 (E).
 
[3]  A. G. Parkinson, Balancing of rotating machinery, Proc. Instn Mechanical Engineers, Part C, Journal of Mechanical Engineering Science, 1991, V 205(C2), PP 53-66.
 
[4]  W. C. Foiles, P. E. Allaire and E. J. Gunter, Rotor balancing. Shock and Vibration, 1998, V 5(5-6), PP 325-336.
 
[5]  S. Edwards, A. W. Lees and M. I. Friswell, Experimental identification of excitation and support parameters of a flexible rotor bearings foundation system from a single run down, Journal of Sound and vibration, 2000, V 232(5), PP 963-992.
 
[6]  F. Fujisawa, T. Kojima, T. Terayama, K. Shiohata and H. Yokota, Balancing method for a rigid rotor considering constraint of the correction mass, Transport Japan Society Mechanical Engineers, Part C, 1993, V 59 (558), PP 78-83.
 
[7]  R.E.D. Bishop and G.M.L. Gladwell, The vibration and balancing of an unbalanced rotors, Journal Mechanical Engineering Science, 1959, V 1 (1), PP 66-77.
 
[8]  L.J. Everett, Optimal two plane balance of rigid rotors, Journal of sound and Vibration, 1997, V 208 (4), PP 656–663.
 
[9]  R. Ambur, S. Rinderknecht, Self-sensing techniques of piezoelectric actuators in detecting unbalance faults in a rotating machine, Procedia Engineering Journal, 2016, V 144, PP 833-840.
 
[10]  M. Chouksey, J.K. Dutt, S.V. Modak, Model updating of rotors supported on ball bearings and its application in response prediction and balancing, journal of Measurement, 2013, V 46 (10), PP 4261-4273.
 
[11]  C. C. Ozoegwu, C. C. Nwangwu, C. F. Uzoh, A. V. Ogunoh, Analytical Approach to Rotational Balancing with computer aids, Journal of Safety Engineering, 2012, V 1(4), PP 50-56.
 
[12]  S.H. Weaver, Balancing of rotors in factory and at installation, General Electric Review, 1928, V 31 (10), PP542-545.
 
[13]  Fedoseev, Y. N., Grebennikov, A. S. and Rymalova, S. I. Use of multi criterion optimization method for machine balancing, Strength and Reliability Problems of Machines Journal, 1992, V 2, PP 10-14.
 
[14]  F. Fujisawa, M. Sasaki, Y. Hori, K. Shiohata, T. Kohno and H. Ohsawa, Experimental investigation on rigid rotor balance containing error in influence coefficient, Japan Society of Mechanical Engineers, 1995, Part C, V 61(584), PP 1443-1449.
 
[15]  A. D. G. Silva, Al. Cavalini and V. Steffen, Model Based Robust Balancing Approach for Rotating Machines, A Conference and Exposition on Structural Dynamics, 2016 , Chapter 24, V 3, 34th IMAC.
 
[16]  B. Xu, L.Qu and Sun, R. Optimization technique-based balancing of flexible rotors without test runs, Journal of Sound Vibration., 2000, V 238(5), PP877-892.
 
[17]  M.V. Saldarriaga, V. Steffen, J. Der Hagopian, J. Mahfoud, Balancing of flexible rotating machines by using an inverse problem approach, Journal of Vibration Control, 2011, V 17(7), PP 1021-1033.
 
[18]  G.B. Karelitz, Field balancing rotors at operating speed, Power 67(7) (1928), 286-289.
 
[19]  F. Ribary, The balancing of masses in rotating bodies, Brown Boveri Review 23 (1936), PP 186-192.
 
[20]  I.J. Somervaille, Balancing a rotating disc with simple graphical construction, Engineering, 1954, PP 241-242.
 
[21]  C. Jackson, the Practical Vibration Primer, Gulf Publishing Company, Houston, Texas, 1979.
 
[22]  L.E. Barrett, D.F. Li and E.J. Gunter, Second mode balancing without phase measurement using the three-point method, in: Selected Papers on Field Balancing of Rotating Machinery Advanced Theory and Techniques, E.J. Gunter, ed. No. UVA/643092/MAE81/137, ROMAC Report 80, Charlottesville, VA, 1978.
 
[23]  E.J. Gunter, H. Springer and R.R. Humphris, Balancing of multi-mass flexible rotor bearing system without phase measurements, in: 11th Biennial Conf. on Mechanical Vibration and Noise, Boston, MA, 1982.
 
[24]  N.F. Rieger, Balancing of rigid and flexible rotors, The Shock and Vibration Information Center, Naval Research Laboratory, Washington DC, 1986.
 
[25]  C. Jackson, Using the orbit to balance, Journal of Mechanical Engineering, 1971, PP 28-32.
 
[26]  K.R. Hopkirk, Notes on methods of balancing, The Engineer, 1940, PP 38-39.
 
[27]  W.C. Foiles and D.E. Bently, Balancing with phase only (single-plane and multiplane), Trans American Society of Mechanical Engineers, Journal of Vibration, Acoustics, Stress, and Reliability in Design, 1988, V 110(2), PP 151-157.
 
[28]  J.R. Lindsey, Significant developments in methods for balancing high-speed rotors, in: Conf. American Society of Mechanical Engineers
 
[29]  R.E.D. Bishop, The vibration of rotating shafts, Journal of Mechanical Engineering Science 1959, V1(1), PP 50-65.
 
[30]  D Garvey, M I Friswell, E J Williams, A W Lees and I D Care, School of Mechanical, Materials, Manufacturing Engineering and Management, Robust balancing for rotating machines, M. Sc. Institute Mech Engineering Science, University of Nottingham, UK, Part C: Journal of Mechanical Engineering Science, 2002, V 216 (11), pp. 1117-1130.
 
[31]  T. Majewski, D. Szwedowicz and M. A. Meraz, Self-balancing system of the disk on an elastic shaft, Journal of Sound and Vibration, 2015, V 359, PP 2-20.
 
[32]  D.J. Rodrigues, A.R. Champneys, M.I. Friswell, R.E. Wilson, Automatic two-plane balancing for rigid rotors, International Journal of Non-Linear Mechanics, 2008, V 43, PP 527-541.
 
[33]  D.J. Rodrigues, A.R. Champneys, M.I. Friswell, R.E. Wilson, Experimental investigation of a single-plane automatic balancing mechanism for a rigid rotor, Journal of Sound and Vibration, 2011, V 330, PP385-403.
 
[34]  S. Zhou and J. Shi, Optimal One-Plane Active Balancing of a Rigid Rotor During Acceleration, Journal of Sound and vibration, 2002, V 249(1), PP 196-205.
 
[35]  G. A. Hassan Mohammed, New approach for computer-aided static and dynamic balancing of Rigid rotors, Journal of Sound and Vibration, 1995, V 179(5), PP 749-76.
 
[36]  L. Sperling, B. Ryzhik, Ch. Linz, H. Duckstein, Simulation of two-plane automatic balancing of a rigid rotor, Journal of Mathematics and Computers Simulation, 2002, V58, PP 351–365.
 
[37]  R. Ambur and S. Rinderknecht, Unbalance detection in rotor systems bearings using self-sensing piezoelectric actuators, Mechanical Systems and Signal Processing Journal, 2018, V 102, PP 72-86.
 
[38]  Z. Wang, P. Zhu, Response prediction for modified mechanical systems based on in-situ frequency response functions: Theoretical and numerical studies, Journal of Sound and Vibration, 2017, V 400, PP 417-441.
 
[39]  Y. Yang, J. Wang, X. Wang and Y. Dai, A general method to predict unbalance responses of geared rigid rotor systems, Journal of Sound and Vibration, 2016, V 381, PP 246-263.
 
[40]  D. E. Bently and C. T. Hatch, Fundamentals of Rotating Machinery Diagnostics, 1st edition, Bently Pressurized Bearing Company, Minden, 2002.
 
[41]  J.-N. Juang and R. S. Pappa, Effects of noise on modal parameters identified by the eigensystem realization algorithm, Journal of Guidance, Control, and Dynamics, vol. 9, pp. 294-303, 1986.
 
[42]  R. S. Pappa, K. B. Elliott, and A. Schenk, A consistent-mode indicator for the eigensystem realization algorithm: National Aeronautics and Space Administration, Langley Research Center, 1992.
 
[43]  J. Lew, J.-N. Juang, and R. W. Longman, Comparison of several system identification methods for flexible structures, Journal of Sound and Vibration, vol. 167, pp. 461-480, 1993.
 
[44]  Nouby M. Ghazaly, G. T. Abd el- Jaber, Nadica Stojanovic, Study Various Defects of Ball Bearings through Different Vibration Techniques, American Journal of Mechanical Engineering, 2019, Vol. 7, No. 3, 146-150
 
[45]  T. Irvine, Total Response of a Single-degree-of-freedom System to a Harmonic Forcing Function, Vibrationdata.com Publications, 1999.
 
[46]  T. Irvine, A. PiersolT. Irvine and T. Paez, Harris, Shock and Vibration Handbook, 6th Edition; V. Bateman, Shock Testing Machines, Chapter 27, New York City: McGraw-Hill, 2010.