Critical Speeds of Continuous Shaft-Disc Systems
This study is concerned with the combination of a linearly tapered stepped and uniform cross-sectioned continuous shaft-disc system on rigit supports.
The critical speed of a rotor consisting of a single disc on a solid shaft is investigated. Since the disc radius to shaft radius ratio is assumed to be considerably small, the disc is treated as a beam element. Euler-Bernouli beam theory is used in the analysis. Furthermore, the gyroscopic and rotary inertia effects of the disc are neglected. The transfer matrix-finite element model is developed for the dynamic analysis and applied to various geometry of the disc-shaft systems. The theoretical results show very close agreement with the theoretical and experimental results of other investigators. The effects of various tapers on the frequencies of vibration are also presented.
KeywordsTransfer Matrix Critical Speed Shaft Diameter Bladed Disc Tapered Section
Unable to display preview. Download preview PDF.
- 1.Thomas, J. and Sabuncu, M.(1979) ‘Vibration Characteristics of asymmetric Cross-Section Bladed Disc under Rotation’ ASME Design Eng. Tech.Conf., St.Louis Missouri 10–12 September 79, Det.94.Google Scholar
- 4.Loewy, R.G., and Khader, N.(1983) ‘Structural Dynamics Studies of Rotating Bladed-Disc Assemblies with Flexible Shaft Motions’, 24 th Structures Structural Dynamics and Materials Conf. by AIAA, ASME, ASCE and AHS, Lake Tahoe, USA.Google Scholar
- 5.Özgüven, H.N.,(1983) ‘On the Critical Speed of Continuous Shaft-Disc Systems’, ASME Paper No.83-DET-94.Google Scholar
- 6.Özgüven, H.N., and Özkan, Z.L. (1983) ‘Whirl Speeds and Unbalance Response of Multibearing Rotors Using Finite Elements’, ASME Paper No.83-DET-89.Google Scholar
- 7.Belek, H.T.(1984) ‘Kritik Hizlarin Sonlu Elemanlar-Transfer Matris Yöntemiyle Hesaplanmasi’, TÜBİTAK 1. Ulusal Makina Teorisi Sempozyumu, 12–14 Eylül, ODTÜ-Ankara, Turkey.Google Scholar
- 8.Eshleman, R.L., and Eubanks, R.A.(1967) ‘On the Critical Speeds of a Continuous Shaft-Disc System’, ASME, Journal of Engineering for Industry, Vol.89, p.645–652.Google Scholar