[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. |
|