Effect of gravity on the vibration of vertical cantilevers

TitleEffect of gravity on the vibration of vertical cantilevers
Publication TypeJournal Article
Year of Publication2007
AuthorsLN Virgin, ST Santillan, and DB Holland
JournalMechanics Research Communications
Volume34
Start Page312
Issue3
Pagination312 - 317
Date Published04/2007
Abstract

The free vibration of a vertically-oriented, thin, prismatic cantilever is influenced by weight. That is, the natural frequencies (and to a lesser extent, mode shapes) are affected by the application of a linearly varying axial load. A beam with an "upward" orientation, i.e., with the free end above the clamped end, will experience a de-stiffening effect, up to the point of self-weight buckling (at zero effective stiffness). A beam in a "downward" orientation will be stiffened by the weight of the beam. This technical note describes some simple experiments on very slender strips and their (vertical) orientation and shows a close correlation with theory. © 2007 Elsevier Ltd. All rights reserved.

DOI10.1016/j.mechrescom.2006.12.006
Short TitleMechanics Research Communications