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RESEARCH PAPERS: Gas Turbines: Combustion and Fuels

A Spinning Finite Beam Element of General Orientation Analyzed With Rayleigh/Timoshenko/Saint-Venant Theory

[+] Author and Article Information
T. J. S. Abrahamsson

Saab Military Aircraft, Linköping, Sweden

J. H. Sällström

Division of Solid Mechanics, Chalmers University of Technology, Göteborg, Sweden

J. Eng. Gas Turbines Power 118(1), 86-94 (Jan 01, 1996) (9 pages) doi:10.1115/1.2816554 History: Received February 04, 1994; Online November 19, 2007

Abstract

Linear vibrations are studied for a straight uniform finite beam element of general orientation spinning at a constant angular speed about a fixed axis in the inertial space. The gyroscopic and circulatory matrices and also the geometric stiffness matrix of the beam element are presented. The effect of the centrifugal static axial load on the bending and torsional dynamic stiffnesses is thereby accounted for. The Rayleigh/Timoshenko/Saint-Venant theory is applied, and polynomial shape functions are used in the construction of the deformation fields. Nonzero off-diagonal elements in the gyroscopic and circulatory matrices indicate coupled bending/shearing/torsional/tensional free and forced modes of a generally oriented spinning beam. Two numerical examples demonstrate the use and performance of the beam element.

Copyright © 1996 by The American Society of Mechanical Engineers
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