Rotating beams and non-rotating beams with shared eigenpair for pinned-free boundary condition

Sarkar, Korak and Ganguli, Ranjan (2013) Rotating beams and non-rotating beams with shared eigenpair for pinned-free boundary condition. In: MECCANICA, 48 (7). pp. 1661-1676.

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Abstract

In this paper we look for a rotating beam, with pinned-free boundary conditions, whose eigenpair (frequency and mode-shape) is same as that of a uniform non-rotating beam for a particular mode. It is seen that for any given mode, there exists a flexural stiffness function (FSF) for which the ith mode eigenpair of a rotating beam with uniform mass distribution, is identical to that of a corresponding non-rotating beam with same length and mass distribution. Inserting these derived FSF's in a finite element code for a rotating pinned-free beam, the frequencies and mode shapes of a non-rotating pinned-free beam are obtained. For the first mode, a physically realistic equivalent rotating beam is possible, but for higher modes, the FSF has internal singularities. Strategies for addressing these singularities in the FSF for finite element analysis are provided. The proposed functions can be used as test functions for rotating beam codes and also for targeted destiffening of rotating beams.

Item Type:	Journal Article
Publication:	MECCANICA
Publisher:	SPRINGER
Additional Information:	Copyright of this article is belongs to SPRINGER
Keywords:	Rotating beams; Design; Free vibration; Destiffening; Test functions
Department/Centre:	Division of Mechanical Sciences > Aerospace Engineering(Formerly Aeronautical Engineering)
Date Deposited:	30 Sep 2013 04:55
Last Modified:	30 Sep 2013 04:55
URI:	http://eprints.iisc.ac.in/id/eprint/47343

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