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Postbuckling of elastic columns with second-mode imperfection

Publication ,  Journal Article
Plaut, RH; Dillard, DA; Virgin, LN
Published in: Journal of Engineering Mechanics
2006

Initial imperfections of columns are often assumed to have the shape of the first buckling mode. In this technical note, the imperfection has the shape of the second mode. An elastica analysis is performed, and numerical results are obtained for two cases with the use of a shooting method. For the example of a pinned column, bifurcation occurs at a load slightly higher than the critical load for the perfect system. With further increase in load, the deflection changes smoothly from an antisymmetric shape with one node to a shape with no nodes. For the cantilevered-column example, a limit point occurs just beyond the critical load for the perfect system, and the equilibrium shape jumps from one state to another. As the load is increased further, the deflection passes smoothly to the other side of the column and loses its inflection point. © ASCE.

Duke Scholars

Published In

Journal of Engineering Mechanics

DOI

Publication Date

2006

Volume

132

Issue

8

Start / End Page

898 / 901

Related Subject Headings

  • Civil Engineering
  • 4017 Mechanical engineering
  • 4005 Civil engineering
  • 0913 Mechanical Engineering
  • 0905 Civil Engineering
 

Citation

APA
Chicago
ICMJE
MLA
NLM
Plaut, R. H., Dillard, D. A., & Virgin, L. N. (2006). Postbuckling of elastic columns with second-mode imperfection. Journal of Engineering Mechanics, 132(8), 898–901. https://doi.org/10.1061/(ASCE)0733-9399(2006)132:8(898
Plaut, R. H., D. A. Dillard, and L. N. Virgin. “Postbuckling of elastic columns with second-mode imperfection.” Journal of Engineering Mechanics 132, no. 8 (2006): 898–901. https://doi.org/10.1061/(ASCE)0733-9399(2006)132:8(898.
Plaut RH, Dillard DA, Virgin LN. Postbuckling of elastic columns with second-mode imperfection. Journal of Engineering Mechanics. 2006;132(8):898–901.
Plaut, R. H., et al. “Postbuckling of elastic columns with second-mode imperfection.” Journal of Engineering Mechanics, vol. 132, no. 8, 2006, pp. 898–901. Manual, doi:10.1061/(ASCE)0733-9399(2006)132:8(898.
Plaut RH, Dillard DA, Virgin LN. Postbuckling of elastic columns with second-mode imperfection. Journal of Engineering Mechanics. 2006;132(8):898–901.

Published In

Journal of Engineering Mechanics

DOI

Publication Date

2006

Volume

132

Issue

8

Start / End Page

898 / 901

Related Subject Headings

  • Civil Engineering
  • 4017 Mechanical engineering
  • 4005 Civil engineering
  • 0913 Mechanical Engineering
  • 0905 Civil Engineering