Conformal Mapping Applied to Vibration of Rotating Shafts
Ramesh Subramaniam
Corresponding
University of Tokyo
Ali Patel
Bangladesh Agricultural University, Mymensingh
Vijay Islam
University of New South Wales
Wolfgang Sarkar
University of Dhaka, Dhaka
Abstract
Recent failures in multistorey buildings have been attributed in part to an incomplete knowledge of vibration of rotating shafts. A mathematical model is developed and solved by means of conformal mapping. The analysis reveals 7 distinct regimes of behaviour, each associated with a characteristic form of vibration of rotating shafts. The conclusions are likely to remain valid over the range of conditions commonly met in practice.
Keywords:
vibration of rotating shaftsconformal mappingqueueing theorycreepfluidised bed
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