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Title of Journal: Meccanica

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Abbravation: Meccanica

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Springer Netherlands

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DOI

10.1016/j.bbrc.2005.09.182

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1572-9648

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Rotating beams and nonrotating beams with shared

Authors: Korak Sarkar Ranjan Ganguli
Publish Date: 2013/01/18
Volume: 48, Issue: 7, Pages: 1661-1676
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Abstract

In this paper we look for a rotating beam with pinnedfree boundary conditions whose eigenpair frequency and modeshape is same as that of a uniform nonrotating 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 nonrotating beam with same length and mass distribution Inserting these derived FSF’s in a finite element code for a rotating pinnedfree beam the frequencies and mode shapes of a nonrotating pinnedfree 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

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