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Eigenproperties of a Twisted, Nonuniform Rotating Beam by the Finite Element Method

by Alan G. Hernried, Oregon State Univ, Corvallis, United States,
Wei-Ming Bian, Oregon State Univ, Corvallis, United States,



Document Type: Proceeding Paper

Part of: Engineering Mechanics

Abstract:

A initially twisted blade with nonuniform properties along the length, is rotating with constant angular velocity about an axis perpendicular to it's elastic axis. The blade is modeled as a Bernoulli-Euler beam neglecting shear deformation and rotatory inertia effects and the elastic and twist axes are coincidental. The eigenproperties associated with the coupled in and out of plane bending deflections are determined by a Galerkin finite element approach. Several numerical studies are presented which indicate the accuracy and applicability of the proposed approach.

Subject Headings: Finite element method | Rotation | Beams | Numerical analysis | Shear deformation | Numerical methods | Mathematics

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