Effect of gravity on the vibration of vertical cantilevers
Publication
, Journal Article
Virgin, LN; Santillan, ST; Holland, DB
Published in: Mechanics Research Communications
April 1, 2007
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.
Duke Scholars
Published In
Mechanics Research Communications
DOI
ISSN
0093-6413
Publication Date
April 1, 2007
Volume
34
Issue
3
Start / End Page
312 / 317
Related Subject Headings
- Mechanical Engineering & Transports
- 4901 Applied mathematics
- 4017 Mechanical engineering
- 4005 Civil engineering
- 0913 Mechanical Engineering
- 0905 Civil Engineering
- 0102 Applied Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Virgin, L. N., Santillan, S. T., & Holland, D. B. (2007). Effect of gravity on the vibration of vertical cantilevers. Mechanics Research Communications, 34(3), 312–317. https://doi.org/10.1016/j.mechrescom.2006.12.006
Virgin, L. N., S. T. Santillan, and D. B. Holland. “Effect of gravity on the vibration of vertical cantilevers.” Mechanics Research Communications 34, no. 3 (April 1, 2007): 312–17. https://doi.org/10.1016/j.mechrescom.2006.12.006.
Virgin LN, Santillan ST, Holland DB. Effect of gravity on the vibration of vertical cantilevers. Mechanics Research Communications. 2007 Apr 1;34(3):312–7.
Virgin, L. N., et al. “Effect of gravity on the vibration of vertical cantilevers.” Mechanics Research Communications, vol. 34, no. 3, Apr. 2007, pp. 312–17. Scopus, doi:10.1016/j.mechrescom.2006.12.006.
Virgin LN, Santillan ST, Holland DB. Effect of gravity on the vibration of vertical cantilevers. Mechanics Research Communications. 2007 Apr 1;34(3):312–317.
Published In
Mechanics Research Communications
DOI
ISSN
0093-6413
Publication Date
April 1, 2007
Volume
34
Issue
3
Start / End Page
312 / 317
Related Subject Headings
- Mechanical Engineering & Transports
- 4901 Applied mathematics
- 4017 Mechanical engineering
- 4005 Civil engineering
- 0913 Mechanical Engineering
- 0905 Civil Engineering
- 0102 Applied Mathematics