Effect of gravity on the vibration of vertical cantilevers

Journal Article (Journal Article)

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.

Full Text

Duke Authors

Cited Authors

  • Virgin, LN; Santillan, ST; Holland, DB

Published Date

  • April 1, 2007

Published In

Volume / Issue

  • 34 / 3

Start / End Page

  • 312 - 317

International Standard Serial Number (ISSN)

  • 0093-6413

Digital Object Identifier (DOI)

  • 10.1016/j.mechrescom.2006.12.006

Citation Source

  • Scopus