Stretching and Bending of Rotating Beam

[+] Author and Article Information
N. G. Stephen, P. J. Wang

Department of Mechanical Engineering, University of Southampton, Southampton, England S09 5NH

J. Appl. Mech 53(4), 869-872 (Dec 01, 1986) (4 pages) doi:10.1115/1.3171873 History: Received July 24, 1984; Revised February 12, 1986; Online July 21, 2009


The effect of uniform high-speed rotation on the simplest representation of a rotating blade is analyzed according to the linear theory of elasticity. The blade is modeled as a uniform prismatic beam of general cross section rotating about a principal section axis perpendicular to the centroidal axis. This quasi-elastostatic three-dimensional problem is reduced to a two-dimensional boundary value problem to which solutions for the amenable circular and elliptic cross sections are given. For sections not possessing two axes of cross-sectional symmetry, the theory predicts curvature of the blade center line.

Copyright © 1986 by ASME
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