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Hybrid stiff-string-polynomial basis functions for vibration analysis of high speed rotating beams

Gunda, Jagadish Babu and Gupta, RK and Ganguli, Ranjan (2009) Hybrid stiff-string-polynomial basis functions for vibration analysis of high speed rotating beams. In: Computers & Structures, 87 (3-4). pp. 254-265.

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Abstract

A new finite element is developed for free vibration analysis of high speed rotating beams using basis functions which use a linear combination of the solution of the governing static differential equation of a stiff-string and a cubic polynomial. These new shape functions depend on rotation speed and element position along the beam and account for the centrifugal stiffening effect. The natural frequencies predicted by the proposed element are compared with an element with stiff-string, cubic polynomial and quintic polynomial shape functions. It is found that the new element exhibits superior convergence compared to the other basis functions.

Item Type: Journal Article
Additional Information: Copyright of this article belongs to Elsevier Science.
Keywords: Rotating beams;Finite element method;Free vibration;Improved basis function;Stiff-string.
Department/Centre: Division of Mechanical Sciences > Aerospace Engineering (Formerly, Aeronautical Engineering)
Date Deposited: 12 Aug 2009 09:31
Last Modified: 19 Sep 2010 05:28
URI: http://eprints.iisc.ernet.in/id/eprint/19499

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