Stability Analysis of a Deep Cantilever Beam with Laterally Distributed Follower Force
Publication: Journal of Engineering Mechanics
Volume 140, Issue 10
Abstract
The static and dynamic stability analysis of a beam subjected to a laterally distributed follower force is presented. The effect of the uniformly distributed follower force is considered in the work and energy terms, and the equations of motion are obtained using the extended Hamilton’s principle. Applying Galerkin’s technique, the resulting equations are transformed into a general eigenvalue problem. The effects of several physical parameters, such as mass centroid offset, radius of gyration of the cantilever, fundamental frequencies ratio, and magnitude of the distributed follower force, are investigated. Numerical results reveal that the load increment may cause either static or dynamic instability types.
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Published In
Journal of Engineering Mechanics
Volume 140 • Issue 10 • October 2014
Copyright
© 2014 American Society of Civil Engineers.
History
Received: May 17, 2013
Accepted: Feb 16, 2014
Published online: Mar 26, 2014
Discussion open until: Aug 26, 2014
Published in print: Oct 1, 2014
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