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Wave Propogation Characteristics of Rotating Uniform Euler-Bernoulli Beams

Vinod, KG and Gopalakrishnan, S and Ganguli, R (2006) Wave Propogation Characteristics of Rotating Uniform Euler-Bernoulli Beams. In: Computer Modeling in Engineering & Sciences, 16 (3). pp. 197-208.

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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 nondispersively 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.

Item Type: Journal Article
Publication: Computer Modeling in Engineering & Sciences
Publisher: Tech Science Press
Additional Information: Copyright of this article belongs to Tech Science Press.
Keywords: Wavenumber;Spectrum relation;Nondispersive;Group speed;Phase speed;Transfer function;Lagrangian
Department/Centre: Division of Mechanical Sciences > Aerospace Engineering(Formerly Aeronautical Engineering)
Date Deposited: 04 Jul 2007
Last Modified: 20 Jan 2012 09:58
URI: http://eprints.iisc.ac.in/id/eprint/11405

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