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.
Rotating Beams Isospectral to Axially Loaded Nonrotating Uniform Beams
AIAA Journal ; 51 , 5 ; 1189-1202
01.05.2013
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch
Rotating Beams Isospectral to Axially Loaded Nonrotating Uniform Beams
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