Asymptotic Integration Methods Applied to Rotating Beams

[+] Author and Article Information
C. R. Steele, K. E. Barry

Applied Mechanics Division, Stanford University, Stanford, Calif. 94305

J. Appl. Mech 47(4), 884-890 (Dec 01, 1980) (7 pages) doi:10.1115/1.3153808 History: Received March 01, 1980; Revised June 01, 1980; Online July 21, 2009


The in-plane vibrational characteristics of an off-axis clamped beam subjected to either compressive or tensile forces arising from steady rotation are studied. The differential equations of motion are cast into state vector form and solved using asymptotic matrix integration methods. The general theory of these methods is described in this paper and their application to the analysis of rotating beams is made. The advantages inherent in these methods with regard to accuracy, reduction of analytical complexity, and savings in computational costs are discussed.

Copyright © 1980 by ASME
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