New Approach to Instability Threshold of a Simply Supported Rayleigh Shaft
Subject Areas : EngineeringM Faraji Mahyari 1 , K.H Faraji Mahyari 2 , S Fardpour 3
1 - Department of Mechanical Engineering, Islamic Azad University, Shahr-e Rey Branch
2 - Department of Mechanical Engineering, Islamic Azad University, Shahr-e Rey Branch
3 - Department of Industrial Design, Islamic Azad University, Shahr-e Rey Branch
Keywords:
Abstract :
[1] Grybos R., 1991, Effect of shear and rotary inertia of a rotor at its critical speeds, Archive of Applied Mechanics 61 (2): 104-109.
[2] Choi S.H., Pierre C., Ulsoy A. G., 1992, Consistent modelling of rotating timoshenko shafts subject to axial loads, Journal of Vibration, Acoustics, Stress, and Reliability in Design 114 (2):249-259.
[3] Jei Y. G., Leh C. W., 1992, Modal analysis of continuous asymmetrical rotor-bearing systems, Journal of Sound and Vibration 152 (2):245-262.
[4] Singh S. P., Gupta K., 1994, Free damped flexural vibration analysis of composite cylindrical tubes using beam and shell theories, Journal of Sound and Vibration 172 (2):171-190.
[5] Kang B., Tan C. A., 1998, Elastic wave motions in an axially strained, infinitely long rotating timoshenko shaft, Journal of Sound and Vibration 213(3):467-482.
[6] Jun O. S., Kim J. O., 1999, Free bending vibration of a multi-step rotor, Journal of Sound and Vibration 224(4):625-642.
[7] Mohiuddin M. A., Khulief Y. A., 1999, Coupled bending torsional vibration of rotors using finite element, Journal of Sound and Vibration 223(2):297-316.
[8] Gu U. C., Cheng C. C., 2004, Vibration analysis of a high-speed spindle under the action of a moving mass, Journal of Sound and Vibration 278:1131-1146.
[9] Behzad M., Bastami A. R., 2004, Effect of centrifugal force on natural frequency of lateral vibration of rotating shafts, Journal of Sound and Vibration 274:985-995.
[10] Banerjee J. R., Su H., 2006, Dynamic stiffness formulation and free vibration analysis of a spinning composite beam, Computers and Structures 84:1208-1214.
[11] Hosseini S.A., Khadem S. E., 2009, Free vibrations analysis of a rotating shaft with nonlinearities in curvature and inertia, Mechanism and Machine Theory 44:272-288.
[12] Yigit A. S., Christoforou A. P., 1996, Coupled axial and transverse vibration of oil well drill string, Journal of sound and vibration 195 (4):617-627.
[13] Yigit A. S., Christoforou A. P., 1997, Dynamic modelling of rotating drill strings with borehole interactions, Journal of sound and vibration 206(2):243-260.
[14] Timoshenko G., 1963, Theory of Elastic Stability, Mc Graw Hill, United state.
[15] Hildebrand F. B., 1984, Methods of Applied Mathematics, Prentice Hall Ind, United state.
[16] Rao J. S., 1983, Rotor Dynamics, New York, John Wiley & Sons, United state.