Review: Rotor balancing

This article reviews the literature concerning the balancing of rotors including the origins of various balancing techniques including ones that use influence coefficient, modal, unified, no phase, and no amplitude methods to balance. This survey covers the computational algorithms as well as the physical concepts involved in balancing rotating equipment.

[1]  J. Tonnesen,et al.  Analysis and Experiments on Multi-Plane Balancing of a Flexible Rotor , 1972 .

[2]  Charles C. Kennedy,et al.  Use of Vectors in Vibration Measurement and Analysis , 1947 .

[3]  E. Woomer,et al.  The Balancing of Rotating Shafts by Quadratic Programming , 1981 .

[4]  Richard Evelyn Donohue Bishop,et al.  Some Experiments on the Balancing of Small Flexible Rotors: Part II-Experiments , 1963 .

[5]  Walter D. Pilkey,et al.  Constrained Balancing Techniques for Flexible Rotors , 1979 .

[6]  Yuan Kang,et al.  Development and modification of a unified balancing method for unsymmetrical rotor-bearing systems , 1997 .

[7]  D. E. Bently,et al.  Balancing With Phase Only (Single-Plane and Multiplane) , 1988 .

[8]  Chong Won Lee,et al.  Automatic Modal Balancing of Flexible Rotors During Operation: Computer Controlled Balancing Head , 1990 .

[9]  A G Parkinson,et al.  Rotordynamics Standards: New Developments and the Need for Involvement , 1995 .

[10]  Dennis S. Bernstein,et al.  Adaptive virtual autobalancing for a magnetic rotor with unknown mass imbalance , 1995, Proceedings of 1995 American Control Conference - ACC'95.

[11]  Shuzo Miwa,et al.  Great Pioneers of Rotor Dynamics in Japan-Focusing on Balancing Technology , 1989 .

[12]  J. W. Lund,et al.  Impact Excitation Tests to Determine the Influence Coefficients for Balancing Lightly Damped Rotors , 1988 .

[13]  J. Alberto.  Flexible roll balancing , 1997 .

[14]  Shuzo Miwa.  Balancing Technology of Rotating Machinery , 1985 .

[15]  R. E. D. Bishop,et al.  Some recent research on the balancing of large flexible rotors , 1963 .

[16]  Livija Cveticanin.  Balancing of flexible rotor with variable mass , 1981 .

[17]  X.-X. Wang,et al.  Low Speed Balancing of Flexible Rotors Considering Influences of Running Speeds , 1996 .

[18]  Richard Evelyn Donohue Bishop,et al.  Some Experiments on the Balancing of Small Flexible Rotors: Part I—Theory , 1963 .

[19]  A. G. Parkinson.  The Balancing of Flexible Rotors , 1975 .

[20]  弘 飯島,et al.  液体を用いた回転軸自動釣合わせ法 : 第2報,遠心力場の液体圧を利用する方法 , 1989 .

[21]  Anthony J. Smalley,et al.  Spray Automated Balancing of Rotors: Concept and Initial Feasibility Study , 1989 .

[22]  宗玄 西郷,et al.  二重円筒ロータの釣合せ : 第2報, はりモデルの伝達マトリックス法による解析 , 1992 .

[23]  D. Foss,et al.  New technique eases structural repair, rotor balancing , 1990 .

[24]  Chong-Won Lee,et al.  Modal Balancing of Flexible Rotors during Operation: Design and Manual Operation of Balancing Head , 1987 .

[25]  J. Tonnesen.  Further Experiments on Balancing of a High-Speed Flexible Rotor , 1974 .

[26]  Fumio Fujisawa,et al.  Balancing for a Flexible Rotor Considering the Vibration Mode : 3rd Report, Investigation on Balancing Accuracy Considering Errors in Influence Coefficients , 1984 .

[27]  Ronald D. Flack,et al.  Effects of Three-Lobe Bearing Geometries on the Unbalance Response of a Flexible Rotor , 1983 .

[28]  E. S. Zorzi,et al.  Modern rotor balancing - Emerging technologies , 1985 .

[29]  P. Gnielka.  Modal balancing of flexible rotors without test runs: An experimental investigation , 1983 .

[30]  Fumio Fujisawa,et al.  Balancing for a Flexible Rotor Considering the Vibration Mode : 2nd Report, Balancing in which Modal Influence Coefficients Contain Phase Angle Errors , 1981 .

[31]  E. L. THEARLE.  Dynamic Balancing of Rotating Machinery in the Field , .

[32]  P. G. Morton.  Modal Balancing of Flexible Shafts without Trial Weights , 1985 .

[33]  Richard Evelyn Donohue Bishop,et al.  Residual Vibration in Modal Balancing , 1965 .

[34]  Yuan Kang,et al.  A MODIFIED INFLUENCE COEFFICIENT METHOD FOR BALANCING UNSYMMETRICAL ROTOR-BEARING SYSTEMS , 1996 .

[35]  R. Kalaba,et al.  Analytical Dynamics: A New Approach , 1996 .

[36]  H. H. Jeffcott.  XXVII. The lateral vibration of loaded shafts in the neighbourhood of a whirling speed.—The effect of want of balance , 1919 .

[37]  G.-J. Sheen,et al.  The principle and applications of multi-plane separation for balancing machines , 1997 .

[38]  G. M. L. Gladwell,et al.  The Vibration and Balancing of an Unbalanced Flexible Rotor , 1959 .

[39]  A. P,et al.  Mechanical Vibrations , 1948, Nature.

[40]  Shuzo Miwa.  The Dawn of Machine Dynamics. The Balancing of Wheels and the Critical Speed of Rotating Shafts. , 1991 .

[41]  A. J. Smalley,et al.  A theoretical introduction to the development of a unified approach to flexible rotor balancing , 1980 .

[42]  B. Bailey.  Roll balancing in-place with a portable microprocessor balancer , 1985 .

[43]  隆夫 我妻,et al.  複素モード法による弾性ロータのバランシング : 第5報,修正量の補正方法(その3) , 1985 .

[44]  Mark S. Darlow.  Balancing of high-speed machinery: Theory, methods and experimental results , 1987 .

[45]  W. D. Pilkey,et al.  A Linear Programming Approach for Balancing Flexible Rotors , 1976 .

[46]  Victor Wowk.  Machinery vibration : balancing , 1994 .

[47]  W. Pilkey,et al.  A Computational Technique for Optimizing Correction Weights and Axial Location of Balance Planes of Rotating Shafts , 1983 .

[48]  R. E. D. Bishop,et al.  On the Isolation of Modes in the Balancing of Flexible Shafts , 1963 .

[49]  G. M. L. Gladwell,et al.  The Vibration of Rotating Shafts Supported in Flexible Bearings , 1959 .

[50]  Minoru Sasaki,et al.  Experimental Investigation on Rigid Rotor Balance Containing Error in Influence Coefficient. Comparison of Balancing Condition between the Least Squares Method and the Influence Coefficient Method. , 1995 .

[51]  Abdelfatah M. Mohamed,et al.  Imbalance compensation and automation balancing in magnetic bearing systems using the Q-parameterization theory , 1995, IEEE Trans. Control. Syst. Technol..

[52]  M. S. Hundal,et al.  Balancing of Flexible Rotors Having Arbitrary Mass and Stiffness Distribution , 1966 .

[53]  A. J. Smalley,et al.  Demonstration of a Unified Approach to the Balancing of Flexible Rotors , 1981 .

[54]  Fumio Fujisawa,et al.  Development of Magnetic-Spring-Supporting-Type Balancer. , 1991 .

[55]  Takashi Watanabe,et al.  Thermal Balancing Method For Turbine Generator Rotor. Factor of Thermal Vibration Unbalance and Balancing Method. , 1996 .

[56]  A. G. Parkinson.  The vibration and balancing of shafts rotating in asymmetric bearings , 1965 .

[57]  J. M. Krodkiewski,et al.  Identification of Unbalance Change Using a Non-linear Mathematical Model for Multi-bearing Rotor Systems , 1994 .

[58]  S. Mahalingam,et al.  Some experiments in the vibration of a rotating shaft , 1966, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[59]  Dara W. Childs,et al.  Turbomachinery Rotordynamics: Phenomena, Modeling, and Analysis , 1993 .

[60]  Richard Evelyn Donohue Bishop.  The Vibration of Rotating Shafts , 1959 .

[61]  Neville F Rieger.  Balancing of Rigid and Flexible Rotors , 1986 .

[62]  Kenji Araki,et al.  Balancing Machine Using Dynamic Vibration Absorber. Measurement with an Undamped Dynamic Vibration Absorber. , 1995 .

[63]  Cyril M. Harris,et al.  Shock and vibration handbook , 1976 .

[64]  Bruce D. Thompson.  Optimization of LM2500 Gas Generator and Power Turbine Trim-Balance Techniques , 1992 .

[65]  A. Turpin,et al.  Balancing of Rotors Supported on Bearings Having Nonlinear Stiffness Characteristics , 1994 .

[66]  Arthur W. Lees,et al.  The evaluation of rotor unbalance in flexibly mounted machines , 1997 .

[67]  Darlow,et al.  [Mechanical Engineering Series] Balancing of High-Speed Machinery || Introduction , 1989 .

[68]  Richard Evelyn Donohue Bishop,et al.  Vibration and Balancing of Rotating Continuous Shafts , 1961 .

[69]  V. Roizman.  Theory and practice of flexible rotor balancing as a dynamic inverse problem , 1998 .

[70]  E. J. Gunter,et al.  Effect of Residual Shaft Bow on Unbalance Response and Balancing of a Single Mass Flexible Rotor—Part I: Unbalance Response , 1976 .

[71]  John Kendig.  Current Flexible Rotor-Bearing System Balancing Techniques Using Computer Simulation , 1975 .

[72]  宗玄 西郷,et al.  二重円筒ロータのつりあわせ : 第1報, 有限要素法によるシミュレーション , 1991 .

[73]  Burford J Furman.  A New, Thermally Controlled, Non-Contact Rotor Balancing Method , 1994 .

[74]  Louis J. Everett.  OPTIMAL TWO-PLANE BALANCE OF RIGID ROTORS , 1997 .

[75]  Thomas P. Goodman,et al.  A Least-Squares Method for Computing Balance Corrections , 1964 .

[76]  Charles Jackson,et al.  The Practical Vibration Primer , 1979 .

[77]  J. Van De Vegte,et al.  Balancing of rotating systems during operation , 1978 .

[78]  P. R. Trumpler,et al.  Dynamics of Synchronous-Precessing Turborotors With Particular Reference to Balancing. Part 2—Application , 1968 .

[79]  R. H. Badgley,et al.  Flexible Rotor Balancing by the Exact Point-Speed Influence Coefficient Method , 1970 .

[80]  Mark S. Darlow,et al.  Balancing of high-speed machinery , 1989 .

[81]  W. Kellenberger,et al.  Should a Flexible Rotor Be Balanced in N or (N + 2) Planes? , 1972 .

[82]  G. A. Hassan,et al.  New approach for computer-aided static and dynamic balancing of rigid rotors , 1995 .

[83]  Jack W. Mosevich,et al.  Balancing hydraulic turbine runners--A discrete combinatorial optimization problem , 1986 .

[84]  A G Parkinson,et al.  Balancing of Rotating Machinery , 1991 .

[85]  J. M. Vance,et al.  Rotordynamics of Turbomachinery , 1988 .

[86]  Takuzo Iwatsubo.  The Balancing of Flexible Rotors : Theoretical Relation of Each Balancing Method and Accuracies , 1980 .

[87]  Charles R. Johnson,et al.  Matrix analysis , 1985, Statistical Inference for Engineers and Data Scientists.