Post-buckling and vibration of heavy beam on horizontal or inclined rigid foundation
Publication
, Journal Article
Santillan, ST; Virgin, LN; Plaut, RH
Published in: Journal of Applied Mechanics, Transactions ASME
July 1, 2006
A slender, straight beam resting on a flat, rigid foundation does not buckle when subjected to a compressive load, since the load cannot overcome the effect of the beam's weight. However, it buckles if its ends are moved toward each other. Post-buckling of such a beam is examined, both theoretically and experimentally, for horizontal and inclined foundations. The beam is modeled as an elastica, and equilibrium states with large deflections are computed, including cases in which self-contact occurs. Frequencies and mode shapes for small vibrations about equilibrium are also determined. Agreement between the theoretical and experimental results is very good. Copyright © 2006 by ASME.
Duke Scholars
Published In
Journal of Applied Mechanics, Transactions ASME
DOI
ISSN
0021-8936
Publication Date
July 1, 2006
Volume
73
Issue
4
Start / End Page
664 / 671
Related Subject Headings
- Mechanical Engineering & Transports
- 4017 Mechanical engineering
- 4005 Civil engineering
- 4001 Aerospace engineering
- 0913 Mechanical Engineering
- 0905 Civil Engineering
- 0901 Aerospace Engineering
Citation
APA
Chicago
ICMJE
MLA
NLM
Santillan, S. T., Virgin, L. N., & Plaut, R. H. (2006). Post-buckling and vibration of heavy beam on horizontal or inclined rigid foundation. Journal of Applied Mechanics, Transactions ASME, 73(4), 664–671. https://doi.org/10.1115/1.2165237
Santillan, S. T., L. N. Virgin, and R. H. Plaut. “Post-buckling and vibration of heavy beam on horizontal or inclined rigid foundation.” Journal of Applied Mechanics, Transactions ASME 73, no. 4 (July 1, 2006): 664–71. https://doi.org/10.1115/1.2165237.
Santillan ST, Virgin LN, Plaut RH. Post-buckling and vibration of heavy beam on horizontal or inclined rigid foundation. Journal of Applied Mechanics, Transactions ASME. 2006 Jul 1;73(4):664–71.
Santillan, S. T., et al. “Post-buckling and vibration of heavy beam on horizontal or inclined rigid foundation.” Journal of Applied Mechanics, Transactions ASME, vol. 73, no. 4, July 2006, pp. 664–71. Scopus, doi:10.1115/1.2165237.
Santillan ST, Virgin LN, Plaut RH. Post-buckling and vibration of heavy beam on horizontal or inclined rigid foundation. Journal of Applied Mechanics, Transactions ASME. 2006 Jul 1;73(4):664–671.
Published In
Journal of Applied Mechanics, Transactions ASME
DOI
ISSN
0021-8936
Publication Date
July 1, 2006
Volume
73
Issue
4
Start / End Page
664 / 671
Related Subject Headings
- Mechanical Engineering & Transports
- 4017 Mechanical engineering
- 4005 Civil engineering
- 4001 Aerospace engineering
- 0913 Mechanical Engineering
- 0905 Civil Engineering
- 0901 Aerospace Engineering