Comparison of Beam and Shell Theories for the Vibrations of Thin Turbomachinery Blades

[+] Author and Article Information
A. W. Leissa

Department of Engineering Mechanics, Ohio State University, Columbus, Ohio 43210

M. S. Ewing

Department of Engineering Mechanics, United States Air Force Academy

J. Eng. Power 105(2), 383-392 (Apr 01, 1983) (10 pages) doi:10.1115/1.3227427 History: Received December 15, 1981; Online September 28, 2009


A great deal of published literature exists which analyzes the free vibrations of turbomachinery blades by means of one-dimensional beam theories. Recently, a more accurate, two-dimensional analysis method has been developed based upon shallow shell theory. The present paper summarizes the two types of theories and makes quantitative comparisons of frequencies obtained by them. Numerical results are presented for cambered and/or twisted blades of uniform thickness. Significant differences between the theories are found to occur, especially for low aspect ratio blades. The causes of these differences are discussed.

Copyright © 1983 by ASME
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