Publications [#282465] of Lawrence N. Virgin
- Virgin, LN; Santillan, ST; Holland, DB, Effect of gravity on the vibration of vertical cantilevers,
Mechanics Research Communications, vol. 34 no. 3
pp. 312-317, Elsevier BV, ISSN 0093-6413 [doi]
(last updated on 2019/09/19)
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.