Rotordynamic Modeling and Analysis Procedures : A Review

The dynamics of high speed rotating machinery, generally referred to as rotordynamics, has developed into an important area of specialization within the general area of dynamics.This development started with the construction of the first waterwheels and windmills several thousand years ago and progressed rapidly during the past two hundred years with the introduction gas turbines and other high speed rotating equipment.A review is presented of some of the modeling and analysis procedures that have been developed to provide a means for understanding and simulation of the characteristics of rotordynamic systems.

[1]  R. L. Ruhl,et al.  A Finite Element Model for Distributed Parameter Turborotor Systems , 1972 .

[2]  J. Archer Consistent matrix formulations for structural analysis using finite-element techniques. , 1965 .

[3]  H. Matthies,et al.  Dynamic stability of periodic solution of large scale nonlinear systems , 1985 .

[4]  Dara W. Childs Fractional-frequency rotor motion due to nonsymmetric clearance effects , 1982 .

[5]  M. Bampton,et al.  Coupling of substructures for dynamic analyses. , 1968 .

[6]  Dara W. Childs A Rotor-Fixed Modal Simulation Model for Flexible Rotating Equipment , 1974 .

[7]  S. T. Noah,et al.  Response and bifurcation analysis of a MDOF rotor system with a strong nonlinearity , 1991 .

[8]  H. D. Nelson,et al.  Nonlinear Analysis of Rotor-Bearing Systems Using Component Mode Synthesis , 1982 .

[9]  A. D. Dimarogonas,et al.  A general method for stability analysis of rotating shafts , 1975 .

[10]  T. N. Shiau,et al.  An Application of the Generalized Polynomial Expansion Method to Nonlinear Rotor Bearing Systems , 1991 .

[11]  J. David,et al.  Proposed Solution Methodology for the Dynamically Coupled Nonlinear Geared Rotor Mechanics Equations , 1985 .

[12]  K. E. Rouch,et al.  Modeling Rotating Shafts Using Axisymmetric Solid Finite Elements with Matrix Reduction , 1993 .

[13]  Takuzo Iwatsubo,et al.  Coupled Lateral-torsional Vibration of Rotor System Trained by Gears : part 1. Analysis by Transfer Matrix Method , 1984 .

[14]  S. Sinha,et al.  An efficient computational scheme for the analysis of periodic systems , 1991 .

[15]  S. T. Noah,et al.  Nonlinear steady-state response of a rotor-support system , 1987 .

[16]  S. H. Crandall,et al.  Component Mode Synthesis of Multi-Rotor Systems , 1987 .

[17]  H. D. Nelson,et al.  Periodic response investigation of large order non-linear rotordynamic systems using collocation , 1990 .

[18]  S. Saito,et al.  Calculation of Nonlinear Unbalance Response of Horizontal Jeffcott Rotors Supported by Ball Bearings With Radial Clearances , 1985 .

[19]  T A Heppenheimer THE JET PLANE IS BORN. , 1993 .

[20]  H. D. Nelson,et al.  The Dynamics of Rotor-Bearing Systems Using Finite Elements , 1976 .

[21]  T. C. Gmür,et al.  Shaft finite elements for rotor dynamics analysis , 1991 .

[22]  C. E. Hammond,et al.  Efficient numerical treatment of periodic systems with application to stability problems. [in linear systems and structural dynamics] , 1977 .

[23]  D. L. Taylor,et al.  Nonlinear Response of Short Squeeze Film Dampers , 1980 .

[24]  H. D. Nelson,et al.  Stability Analysis of Rotor-Bearing Systems Using Component Mode Synthesis , 1980 .

[25]  H. D. Nelson,et al.  Iterative Determination of Squeeze Film Damper Eccentricity for Flexible Rotor Systems , 1982 .

[26]  K. E. Rouch,et al.  A tapered beam finite element for rotor dynamics analysis , 1979 .

[27]  T. S. Sankar,et al.  Finite Element and Modal Analyses of Rotor-Bearing Systems Under Stochastic Loading Conditions , 1984 .

[28]  Leonard Meirovitch,et al.  A general substructure synthesis method for the dynamic simulation of complex structures , 1980 .

[29]  Transient Dynamic Analysis of Rotors Using SMAC Techniques: Part 2, Numerical Study , 1992 .

[30]  H. D. Nelson,et al.  Undamped Critical Speeds of Rotor Systems Using Assumed Modes , 1993 .

[31]  S. Sinha,et al.  Analysis of dynamic systems with periodically varying parameters via chebyshev polynomials , 1993 .

[32]  Dennis P. Townsend,et al.  Effects of gear box vibration and mass imbalance on the dynamics of multistage gear transmission , 1991 .

[33]  Chong-Won Lee,et al.  Modal analysis of continuous asymmetrical rotor-bearing systems , 1992 .

[34]  E. J. Gunter Dynamic stability of rotor-bearing systems , 1966 .

[35]  S. T. Noah,et al.  Bifurcation analysis for a modified Jeffcott rotor with bearing clearances , 1990 .

[36]  E. J. Gunter,et al.  Component mode synthesis of large rotor systems , 1982 .

[37]  R. Eshleman,et al.  On the Critical Speeds of a Continuous Rotor , 1969 .

[38]  R. Guyan Reduction of stiffness and mass matrices , 1965 .

[39]  Thomas M. Smith,et al.  A History of Mechanical Inventions , 1961, Nature.

[40]  Peter Y. P. Chen,et al.  SUBHARMONIC OSCILLATIONS IN SQUEEZE FILM DAMPED ROTOR BEARING SYSTEMS WITHOUT CENTRALIZING SPRINGS , 1993 .

[41]  S. T. Noah,et al.  Forced periodic vibration of unsymmetric piecewise-linear systems , 1988 .

[42]  Stanley Dunkerley IV. On the whirling and vibration of shafts , 1894, Proceedings of the Royal Society of London.

[43]  Harold R. Simmons,et al.  Lateral Gear Shaft Dynamics Control Torsional Stresses in Turbine-Driven Compressor Train , 1984 .

[44]  T. N. Shiau,et al.  A New Approach to the Dynamic Characteristic of Undamped Rotor-Bearing Systems , 1989 .

[45]  John M. Vance,et al.  An Improved Method for Calculating Critical Speeds and Rotordynamic Stability of Turbomachinery , 1983 .

[46]  J. W. Lund Critical Speeds, Stability and Response of a Geared Train of Rotors , 1978 .

[47]  H. Iida,et al.  Coupled Torsional-flexural Vibration of a Shaft in a Geared System of Rotors : 1st Report , 1980 .

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

[49]  Giancarlo Genta,et al.  Whirling of unsymmetrical rotors: A finite element approach based on complex co-ordinates , 1988 .

[50]  F. K. Orcutt,et al.  Calculations and Experiments on the Unbalance Response of a Flexible Rotor , 1967 .

[51]  S. T. Noah,et al.  Stability and Bifurcation Analysis of Oscillators With Piecewise-Linear Characteristics: A General Approach , 1991 .

[52]  Aly El-Shafei,et al.  Dynamic Analysis of Squeeze Film Damper Supported Rotors Using Equivalent Linearization , 1993 .

[53]  Donald R. Houser,et al.  Dynamic analysis of geared rotors by finite elements , 1992 .

[54]  Chong-Won Lee,et al.  Modal analysis of continuous rotor-bearing systems , 1987 .

[55]  S. T. Noah,et al.  Periodic Response of a Link Coupling With Clearance , 1989 .

[56]  R. Gasch,et al.  Vibration of large turbo-rotors in fluid-film bearings on an elastic foundation , 1976 .

[57]  T. S. Sankar,et al.  Transient Dynamic Analysis of Rotors Using the Combined Methodologies of Finite Elements and Transfer Matrix , 1988 .

[58]  H. D. Nelson,et al.  Periodic Solutions in Rotor Dynamic Systems With Nonlinear Supports: A General Approach , 1989 .

[59]  F. Dimentberg Flexural vibrations of rotating shafts , 1961 .

[60]  Agnes Muszynska,et al.  Whirl and whip—Rotor/bearing stability problems , 1986 .

[61]  J. N. Ramsden A matrix for the solution of mixed rotating and non-rotating vibration systems , 1969 .

[62]  Donald R. Houser,et al.  Mathematical models used in gear dynamics—A review , 1988 .

[63]  F. F. Ehrich,et al.  Some Observations of Chaotic Vibration Phenomena in High-Speed Rotordynamics , 1991 .

[64]  J. Rodriguez,et al.  Transient Dynamic Analysis of Rotors Using SMAC Techniques: Part 1, Formulation , 1992 .

[65]  K. E. Rouch,et al.  Dynamic Reduction in Rotor Dynamics by the Finite Element Method , 1980 .

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

[67]  E. J. Hahn,et al.  Unbalance Behavior of Squeeze Film Damped Multi-Mass Flexible Rotor Bearing Systems , 1983 .

[68]  Ronald L. Huston,et al.  On Dynamic Loads in Parallel Shaft Transmissions: Part I—Modelling and Analysis , 1988 .

[69]  B. Irons Structural eigenvalue problems - elimination of unwanted variables , 1965 .

[70]  H. D. Nelson,et al.  Coupled Lateral-Torsional Vibration of a Gear-Pair System Supported by a Squeeze Film Damper , 1998 .