Bending-Bending Mode of a Rotating Tapered-Twisted Turbomachine Blade Including Rotatory Inertia and Shear Deformation

[+] Author and Article Information
R. M. Krupka

Research and Development, Brunswick Defense Division, Muskegon, Mich.

A. M. Baumanis

Continental Aviation and Engineering Corp., Detroit, Mich.

J. Eng. Ind 91(4), 1017-1024 (Nov 01, 1969) (8 pages) doi:10.1115/1.3591742 History: Received December 30, 1968


This paper presents the effect on natural frequency and mode shape of the inclusion of terms that are present in the general equations of motion to describe phenomena associated with Rotatory Inertia and Shear Deformation. The coupling that exists between the flexural and torsional vibrations is not considered. Carnegie’s formulation of the Lagrange Equations of motion is used and the set of field equations solved using Myklestad’s adaptation of the Holzer method. The definition of the lumped parameter system used and the derivation of the associated discrete “difference equations,” which are utilized in the computer approach to the boundary value problem considered, constitute an extension of the Carnegie work.

Copyright © 1969 by ASME
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