Eigenvalues of an axially loaded cantilever beam with an eccentric end rigid body

An analytical form of the characteristic equation for a vertically mounted cantilever beam with an end rigid body is obtained and solved for the eigenvalues of the structure. The effect of the weight of the structure is taken into consideration by estimating the load as a function of the length of t...

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Bibliographic Details
Published in:arXiv.org 2014-01
Main Authors: S Amir Mousavi Lajimi, Heppler, Glenn R
Format: Article
Language:English
Subjects:
Cantilever beams
Eigenvalues
Eigenvectors
Rigid structures
Rotary inertia
Weight
Online Access:Get full text
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Summary:An analytical form of the characteristic equation for a vertically mounted cantilever beam with an end rigid body is obtained and solved for the eigenvalues of the structure. The effect of the weight of the structure is taken into consideration by estimating the load as a function of the length of the beam. The mass, rotary inertia and eccentricity of the end rigid body are demonstrated to considerably affect the eigenvalues of the structure.
ISSN:2331-8422