Affiliation:
1. Division of Applied Mathematics, Brown University, Providence, R. I.
Abstract
Abstract
Methods are discussed for obtaining upper and lower bounds on the frequencies of a uniform beam, rotating at a constant speed about an axis at one end, and vibrating transversely to the plane of rotation. Previous results are extended to include the case of a nonzero hub radius. Bounds on the first two frequencies are given for several ratios of hub radius to beam length. These show that the frequencies depend almost linearly on the hub radius for various rotational speeds.
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
Cited by
14 articles.
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