Modeling And Analysis of A Jeffcott Rotor As A Continuous Cantilever Beam And An Unbalanced Disk System
Modeling And Analysis of A Jeffcott Rotor As A Continuous Cantilever Beam And An Unbalanced Disk System
The paper presents simulations of a continuous cantilever beam and an unbalanced disk system by extending classical Jeffcott rotor approach to a model that gives the first three (or more) modes of the flexible beam. Normal modes of a constrained structure method are used to develop the equations of motion including gyroscopic effects. Centrifugal force created by the unbalanced mass of the disk is considered as a constraint for the flexible beam. The first three modes of the flexible beam having an unbalanced disk are taken into
___
- Nelson, F.C., “A brief history of early rotor dynamics”, Sound and Vibration, 37 (6): 8-11, (2003).
- Nelson, F.C., “Rotor dynamics without equations”, International Journal of COMADEM, 10 (3): 2- 10, (2007).
- Rao, J.S., “History of Rotating Machinery Dynamics”, Springer Science + Business Media, New York, NY, (2011).
- Rao , J. S., “Rotor Dynamics”, John Wiley and Sons, (1983). [5] Vance, J. M., “Rotordynamics of
- Turbomachinery”, John Wiley and Sons, New
- York, NY, (1988). [6] Kramer, E., “Dynamics of Rotors and
- Foundations”, Springer –Verlag, (1993).
- Genta, G., “Dynamics of Rotating Systems”, Springer Science+Business Media, New York, NY, (2005).
- Vance, J., Zeidan, F., Murphy, B., “Machinery Vibration and Rotordynamics”, John Wiley and Sons, New Jersey, (2010).
- Genta, G., “Whirling of unsymmetrical rotors: A finite element approach based on complex co- ordinates”, Journal of Sound and Vibration, 124 (1): 27-53, (1988).
- Kessler, C. L., “Complex modal analysis of rotating machinery”, PhD thesis, University of Cincinnati, (1999).
- Campos, J., Crawford, M., Longoria, R., “Rotordynamic Modeling Using Bond Graphs: Modeling the Jeffcott Rotor”, IEEE Transaction on Magnetics, 41 (1):274-280 (2005).
- Khanlo, H.M., Ghayour, M., Ziaei-Rad, S., “Chaotic vibration analysis of rotating, flexible, continuous shaft-disk system with a rub-impact between the disk and the stator”, Commun Nonlinear Sci Numer Simulat, 16: 566-582, (2011).
- Thomson, W.T., “Theory of Vibration with Applications”, Prentice Hall, Englewood Cliffs, NJ, (1981).
- Rao, S.S., “Mechanical Vibrations”, Prentice Hall, New Jersey, (2005).