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Free vibration and wave propagation analysis of uniform and tapered rotating beams using spectrally formulated finite elements

Vinod, KG and Gopalakrishnan, S and Ganguli, Ranjan (2007) Free vibration and wave propagation analysis of uniform and tapered rotating beams using spectrally formulated finite elements. In: International Journal of Solids and Structures, 44 (18-19). pp. 5875-5893.

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Official URL: http://dx.doi.org/10.1016/j.ijsolstr.2007.02.002

Abstract

This paper presents a formulation of an approximate spectral element for uniform and tapered rotating Euler-Bernoulli beams. The formulation takes into account the varying centrifugal force, mass and bending stiffness. The dynamic stiffness matrix is constructed using the weak form of the governing differential equation in the frequency domain, where two different interpolating functions for the transverse displacement are used for the element formulation. Both free vibration and wave propagation analysis is performed using the formulated elements. The studies show that the formulated element predicts results, that compare well with the solution available in the literature, at a fraction of the computational effort. In addition, for wave propagation analysis, the element shows superior convergence. (C) 2007 Elsevier Ltd. All rights reserved.

Item Type: Journal Article
Additional Information: Copyright of this article belongs to Elsevier Science.
Department/Centre: Division of Mechanical Sciences > Aerospace Engineering (Formerly, Aeronautical Engineering)
Date Deposited: 10 Jun 2010 10:39
Last Modified: 19 Sep 2010 05:57
URI: http://eprints.iisc.ernet.in/id/eprint/26215

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