Buckling Loads and Eigenfrequencies of a Braced Beam Resting on an Elastic Foundation View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2011-12

AUTHORS

Yin Zhang, Yun Liu, Peng Chen, Kevin D. Murphy

ABSTRACT

The eigenvalue problems of the buckling loads and natural frequencies of a braced beam on an elastic foundation are investigated. The exact solutions for the eigenvalues are presented. The eigenvalues vary with the different parameters and are especially sensitive to the brace location. As the beam of a continuous system has infinite eigenvalues and these eigenvalues are influenced differently by a brace, the eigenvalues show rich variation patterns. Because these eigenvalues physically correspond to the structure buckling loads and natural frequencies, the study on the eigenvalues variation patterns can offer a design guidance of using a lateral brace of translation spring to strengthen the structure. More... »

PAGES

510-518

References to SciGraph publications

  • 1989-09. Curve veering and mode localization in a buckling problem in ZEITSCHRIFT FÜR ANGEWANDTE MATHEMATIK UND PHYSIK
  • 1974-01. On a curve veering aberration in ZEITSCHRIFT FÜR ANGEWANDTE MATHEMATIK UND PHYSIK
  • 2010-04. Local Bending of Thin Film on Viscous Layer in ACTA MECHANICA SOLIDA SINICA
  • 1998-05. Spontaneous formation of ordered structures in thin films of metals supported on an elastomeric polymer in NATURE
  • 2007-09. Crack propagation in structures subjected to periodic excitation in ACTA MECHANICA SOLIDA SINICA
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    http://scigraph.springernature.com/pub.10.1016/s0894-9166(11)60051-7

    DOI

    http://dx.doi.org/10.1016/s0894-9166(11)60051-7

    DIMENSIONS

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