Dynamic Behavior and Stability of a Rotor Under Base Excitation

Journal of Vibration and Acoustics, Transactions of the ASME - Tập 128 Số 5 - Trang 576-585 - 2006
Matthieu Duchemin1, Alain Berlioz2, Guy Ferraris1
1Institut National des Sciences Appliquées de Lyon, Laboratoire de Dynamique des Machines et des Structures UMR CNRS 5006, Bâtiment d’Alembert, 8 rue des Sciences, F69 621 Villeurbanne Cedex, France
2Université Paul Sabatier, Laboratoire de Génie Mécanique de Toulouse EA 814, Bâtiment 1R2, 118 route de Narbonne, F31 062 Toulouse Cedex 4, France

Tóm tắt

The dynamic behavior of flexible rotor systems subjected to base excitation (support movements) is investigated theoretically and experimentally. The study focuses on behavior in bending near the critical speeds of rotation. A mathematical model is developed to calculate the kinetic energy and the strain energy. The equations of motion are derived using Lagrange equations and the Rayleigh-Ritz method is used to study the basic phenomena on simple systems. Also, the method of multiple scales is applied to study stability when the system mounting is subjected to a sinusoidal rotation. An experimental setup is used to validate the presented results.

Từ khóa


Tài liệu tham khảo

Ehrich, Handbook on Rotordynamics

Rao, Rotordynamics

Childs, Turbomachinery Rotordynamics: Phenomena, Modeling and Analysis

Lalanne, Rotordynamics Prediction in Engineering, 2nd ed.

Suarez, Seismic Response of Rotating Machines, Earthquake Eng. Struct. Dyn., 21, 21, 10.1002/eqe.4290210102

Beley-Sayettat, A. , 1994, “Effet des Dissymétries et Effet Sismique en Dynamique des Rotors,” Ph. D. Thèse, LMst–INSA-Lyon, France, p. 159.

Gaganis, Modal Analysis of Rotor on Piecewise Linear Journal Bearing Under Seismic Excitation, Trans. ASME, J. Vib. Acoust., 121, 190, 10.1115/1.2893963

Ji, Method of Multiple Scales for Vibration Analysis of Rotor-Shaft Systems With Non-Linear Bearing Pedestal Model, J. Sound Vib., 218, 293, 10.1006/jsvi.1998.1835

Duchemin, Modélisation du Comportement Dynamique des Rotors Embarqués, XVème Congrès Français de Mécanique

Edwards, Experimental Identification of Excitation and Support Parameters of a Flexible Rotor-Bearings-Foundation System From a Single Run-Down, J. Sound Vib., 232, 963, 10.1006/jsvi.1999.2779

Bonello, Modelling the Dynamical Behaviour of a Supercritical Rotor on a Flexible Foundation Using the Mechanical Impedance Technique, J. Sound Vib., 239, 445, 10.1006/jsvi.2000.3172

Chatelet, Etude de la Stabilité des Rotors par une Approche d’Echelles Multiples, XIVème Colloque Vibrations, Chocs et Bruits, 16

Ganesan, R., and Sankar, T. S., 1993, “Resonant Oscillations and Stability of Asymmetric Rotors,” 56, p. 131–137.

Ganesan, R., and Sankar, T. S., 1993, “Non-Stationary Vibrations of Rotor Systems With Non-Symmetric Clearance,” 56, p. 295–301.

Nayfeh, Introduction to Perturbation Techniques

Adams, Rotating Machinery Vibration from Analysis to Troubleshooting