DYNAMICS OF ROTATING MACHINERY

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1 DYNAMICS OF ROTATING MACHINERY Proceedings of the Second International Symposium on Transport Phenomena, Dynamics, and Design of Rotating Machinery, Part II Edited by J. H. Kim Electric Power Research Institute Palo Alto, California W.-J. Yang University of Michigan Ann Arbor, Michigan UNIVERSITATSBiBLIOTHEK HANNOVER TECHNISCHE INFORMATIONSBIBLJOTHEK OHEMISPHERE PUBLISHING CORPORATION A member of the Taylor & Francis Group New York Washington Philadelphia London

2 Contents Preface ix Organizing Committees xi ROTORS AND BEARINGS A State-of-the-Art Survey in Rotordynamics Nonlinear and Self-Excited Vibration Phenomena F. F. Ehrich 3 Topics in Rotor Dynamics J. W. Lund 27 Vibration of High Speed Disk Rotors W. Seemann and J. Wauer 35 Rotor Modeling Considerations with Shaft Diameter Changes R. W. Stephenson and K. E. Rouch 51 Vibration Reduction and Isolation of Rotor-Bearings-Foundation System G. Meng and Z.-Q. Xue 61 Development of an Advanced Hybrid Rotordynamics Model for Vibration Analysis of the Entire Structure of Marine Gas Turbine Engines B. D. Thompson and R. H. Badgley 71 The Elimination of Shaft Critical Speeds Using Parallel Hydrostatic and Squeeze Film Bearings M. J. Goodwin, M. P. Roach, and J. E. T. Penny 85 Incorporating General Race and Housing Flexibility and Deadband in Rolling Element Bearing Analysis /?. R. Davis and C. S. Valla nee 101 A Unified Mathematical Model for the Dynamics of Flexible Rotor-Journal Bearing Systems V. H. Mucino, J. Cheng, and N. T. Sivaneri 115 SEALS A Three-Dimensional Finite-Difference Method for Calculating the Dynamic Coefficients of Seals R. Nordmann and F. J. Dietzen 133

3 Gyroscopic and Damping Effects on the Stability of a Noncontacting Flexibly-Mounted Rotor Mechanical Face Seal /. Green 153 Rotordynamic Coefficients for Labyrinth Seals Calculated by Means of a Finite Difference Technique R. Nordmann and P. Weiser 175 Finite Difference Analysis of Rotordynamic Seal Coefficients for an Eccentric Shaft Position R. Nordmann and F. J. Dietzen 193 CRACKED ROTOR, VIBRO-IMPACT, AND WHIRL Numerical Simulation of Cracked Rotor's Vibrations Due to Measured Crack Shapes B. K. Schmalhorst 211 Crack Detection in Turbine Rotors A. D. Dimarogonas and C. A. Papadopoulos 227 Vibro-lmpacts in a Geared Rotating System R. Singh, H. Xie, and R. J. Comparin 241 The Concept of an Impact Resonance Diagram for Characterizing the Nonlinear Response of Impact Vibration T. 0. Dalrymple 257 Multimode Whirl and Whip in Rotor/Bearing Systems A. Muszynska 269 STABILITY An Analysis of the Stability of Rotor System Supported by the Tilting Pad Bearing under Aerodynamic Excitation F.-S. Wang, C.-S. Chang, and H.-S. Gong 287 Rapid Stability Analysis of Parameter-Excited Large Systems B. Weyh 303 Aerodynamic Instability Mechanisms for Centrifugal Compressors R. G. Kirk 315 Instability of Semi-Flexible Rotor with Four-Wedge Bearings R.-M. Zhou 327 vi

4 Enhanced Rotor Modeling Tailored for Dynamic Stability Analysis and Nonlinear Simulation R. R. Davis 339 Influence of Different Types of Seals on the Stability Behavior of Turbopumps W. Diewald and R. Nordmann 351 CONTROL AND DESIGN Digital Control of Rotor Vibrations Z. Gosiewski 365 An Active Magnetic Damper for Rotor Vibration Control H. M. Chen 381 Turbo Machinery Design through Symbolic Processing A. A. Grandhee and R. A. Moczadlo 393 Machine System Configuration Design for Dynamic Response Z. A. Parszewski, J. M. Krodkiewski, and K. Krynicki 409 Gerotors Design, Simulation, and Contact Analysis C.-B Tsay 419 Simulation of Unsteady Behavior of Gas Turbines T. Schobeiri 435 GENERAL TOPICS An Analytical Investigation on Multiple Solutions of Duffing Equation J.-K. Xu 451 Lateral Vibrations of Rotating Cantilever Beams Using Beam Characteristic Polynomials in Reissner Method A. Kaushal and R. B. Bhat 465 About Dynamics of a Planetary Variator as a Nonholonomic System M. Z. Zlokolica and L. Cveticanin 481 Vibration Analysis of Reactor Recirculation Pumps P. E. Allaire, L. C. Martinez, L. E. Barrett, D. M. Bosi, and R. D. Flack 491 An Approach to Improve Least Squares Method for Calculating Balancing Correction Masses by Using Successive Iteration H. Gu, H. Ren; and J. Yang 513 vii

5 A Calculating Method for Nonlinear Torsional Vibration of Diesel Engine Shafting with Applications M.-H. Zhu and B. Hou 523 Torsional Vibration Response of a Multicylinder Diesel-Alternator Set M. Ghosh and A. Rajamani 537 Author Index 565 Subject Index 567 viii

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