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Vibrations and large postbuckling deflections of optimal pinned columns with elastic foundations

Publication ,  Journal Article
Plaut, RH; Virgin, LN
Published in: Structural and Multidisciplinary Optimization
January 1, 2010

The optimal distribution of material to maximize the critical load of columns has been studied extensively in the past, along with initial postbuckling behavior. Here, large postbuckling deflections are analyzed for optimal columns with pinned ends. Small vibrations of the optimal columns about postbuckled equilibrium shapes are also investigated. A shooting method is utilized to obtain numerical solutions. In some examples, an elastic foundation is attached to the column. The foundation includes the usual transverse resistance and an axial resisting force. The bifurcation is subcritical in some cases, and then the column is imperfection-sensitive. Results are compared to those for the corresponding uniform column with the same total volume. © 2009 US Government.

Duke Scholars

Published In

Structural and Multidisciplinary Optimization

DOI

EISSN

1615-1488

ISSN

1615-147X

Publication Date

January 1, 2010

Volume

40

Issue

1-6

Start / End Page

157 / 164

Related Subject Headings

  • Design Practice & Management
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 01 Mathematical Sciences
 

Citation

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ICMJE
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Plaut, R. H., & Virgin, L. N. (2010). Vibrations and large postbuckling deflections of optimal pinned columns with elastic foundations. Structural and Multidisciplinary Optimization, 40(1–6), 157–164. https://doi.org/10.1007/s00158-008-0354-0
Plaut, R. H., and L. N. Virgin. “Vibrations and large postbuckling deflections of optimal pinned columns with elastic foundations.” Structural and Multidisciplinary Optimization 40, no. 1–6 (January 1, 2010): 157–64. https://doi.org/10.1007/s00158-008-0354-0.
Plaut RH, Virgin LN. Vibrations and large postbuckling deflections of optimal pinned columns with elastic foundations. Structural and Multidisciplinary Optimization. 2010 Jan 1;40(1–6):157–64.
Plaut, R. H., and L. N. Virgin. “Vibrations and large postbuckling deflections of optimal pinned columns with elastic foundations.” Structural and Multidisciplinary Optimization, vol. 40, no. 1–6, Jan. 2010, pp. 157–64. Scopus, doi:10.1007/s00158-008-0354-0.
Plaut RH, Virgin LN. Vibrations and large postbuckling deflections of optimal pinned columns with elastic foundations. Structural and Multidisciplinary Optimization. 2010 Jan 1;40(1–6):157–164.
Journal cover image

Published In

Structural and Multidisciplinary Optimization

DOI

EISSN

1615-1488

ISSN

1615-147X

Publication Date

January 1, 2010

Volume

40

Issue

1-6

Start / End Page

157 / 164

Related Subject Headings

  • Design Practice & Management
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 01 Mathematical Sciences