Critical Speeds of Continuous Shaft-Disc Systems
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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
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