Wave Propogation Characteristics of Rotating Uniform Euler-Bernoulli Beams
K.G. Vinod, S. Gopalakrishnan and R. Ganguli

Source CMES: Computer Modeling in Engineering & Sciences, Vol. 16, No. 3, pp. 197-208, 2006
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Keywords Wavenumber, spectrum relation, non-dispersive, group speed, phase speed, transfer function, Lagrangian.
Abstract A spectral finite element formulation for a rotating beam subjected to small duration impact is presented in this paper. The spatial variation in centrifugal force is modeled in an average sense. Spectrum and dispersion plots are obtained as a function of rotating speed. It is shown that the flexural wave tends to behave non-dispersively at very high rotation speeds. The numerical results are simulated for two rotating waveguides of different dimensions. The results show that there is a steep increase in responses with the response peaks and the reflected signals almost vanishing at higher rotating speeds. The solution obtained in this work can be used as Ritz functions for the spectral finite element method, where the variable coefficient differential equation is present.
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