In this paper, the stiffness and mass per unit length distributions of a rotating beam, which is isospectral to a given uniform axially loaded nonrotating beam, are determined analytically. The Barcilon–Gottlieb transformation is extended so that it transforms the governing equation of a rotating beam into the governing equation of a uniform, axially loaded nonrotating beam. Analysis is limited to a certain class of Euler–Bernoulli cantilever beams, where the product between the stiffness and the cube of mass per unit length is a constant. The derived mass and stiffness distributions of the rotating beam are used in a finite element analysis to confirm the frequency equivalence of the given and derived beams. Examples of physically realizable beams that have a rectangular cross section are shown as a practical application of the analysis.


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    Title :

    Rotating Beams Isospectral to Axially Loaded Nonrotating Uniform Beams


    Contributors:

    Published in:

    AIAA Journal ; 51 , 5 ; 1189-1202


    Publication date :

    2013-05-01




    Type of media :

    Article (Journal)


    Type of material :

    Electronic Resource


    Language :

    English





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