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Stiff-String Basis Functions for Vibration Analysis of High Speed Rotating Beams

Gunda, Jagadish Babu and Ganguli, Ranjan (2008) Stiff-String Basis Functions for Vibration Analysis of High Speed Rotating Beams. In: Journal of Applied Mechanics, 75 (2).

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Abstract

A new rotating beam finite element is developed in which the basis functions are obtained by the exact solution of the governing static homogenous differential equation of a stiff string, which results from an approximation in the rotating beam equation. These shape functions depend on rotation speed and element position along the beam and account for the centrifugal stiffening effect. Using this new element and the Hermite cubic finite element, a convergence study of natural frequencies is performed, and it is found that the new element converges much more rapidly than the conventional Hermite cubic element for the first two modes at higher rotation speeds. The new element is also applied for uniform and tapered rotating beams to determine the natural frequencies, and the results compare very well with the published results given in the literature.

Item Type: Journal Article
Additional Information: Copyright of this article belongs to The American Society of Mechanical Engineers.
Department/Centre: Division of Mechanical Sciences > Aerospace Engineering (Formerly, Aeronautical Engineering)
Date Deposited: 04 Jun 2010 08:45
Last Modified: 19 Sep 2010 05:58
URI: http://eprints.iisc.ernet.in/id/eprint/26716

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