Whirl of Simple Rotors
This introductory chapter deals with the understanding of the whirling phenomena of simple rotors; this is essential for a deep insight into the physics of rotating machinery. Although the models dealt with in this chapter may look too simple to be directly applicable to practical rotor problems, the vibration phenomena associated with the simple models are often observed in the real world. On the other hand, the equations of motion governing these simple models are already so complicated that any increase in the complexity of the models is likely to make the analytical approach impractical. In this sense, the topics treated here are essential for an understanding of the dynamics of rotors, and for seeing what makes rotors different in nature from other structures.
KeywordsVibration Analysis Critical Speed Eritieal Speed Simple Rotor Mass Eccentricity
Unable to display preview. Download preview PDF.
- 1.S. H. Crandall, “Resolution of a Paradox Concerning the Instability of Unsymmetric Rotors,” Proc. of the 7th World Congress on the Theory of Machines and Mechanisms, Sevilla, Spain, September 1987, p. 1805–1810.Google Scholar
- 2.N. F. Rieger and J. F. Crofoot, Vibrations of Rotating Machinery, Rochester Institute of Technology, 1977, p. 69–72.Google Scholar
- 3.F. M. Dimentberg, Flexural Vibrations of Rotating Shafts, Butterworths, London, 1961, p. 24–29, p. 35.Google Scholar
- 4.Carl E. Pierson, Handbook of Applied Mathematics, Van Nostrand Reinhold Co., 1974, p. 46.Google Scholar
- 5.D. A. Glasgow, Analysis of Rotor—Bearing Systems using Component Mode Synthesis, Ph.D dissertation, Arizona State Univ., Dec. 1981.Google Scholar
- 6.A. B. Pippard, The Physics of Vibration, Volume 1, Cambridge University Press, 1978, p. 26–28.Google Scholar