A spinning finite beam element of general orientation analyzed with Rayleigh/Timoshenko/Saint-Venant theory
- Saab Military Aircraft, Linkoeping (Sweden)
- Chalmers Univ. of Technology, Goeteborg (Sweden)
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.
- Sponsoring Organization:
- USDOE
- OSTI ID:
- 207757
- Report Number(s):
- CONF-940626--
- Journal Information:
- Journal of Engineering for Gas Turbines and Power, Journal Name: Journal of Engineering for Gas Turbines and Power Journal Issue: 1 Vol. 118; ISSN JETPEZ; ISSN 0742-4795
- Country of Publication:
- United States
- Language:
- English
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