Free vibration calculations of an euler-bernoulli beam on an elastic foundation using he’s variational iteration method

Alima Tazabekova, Desmond Adair, Askar Ibrayev, Jong Kim

Research output: Contribution to journalConference articlepeer-review

Abstract

Free vibration characteristics for an Euler-Bernoulli beam supported using a simple Winkler linear elastic foundation are calculated. The method of solution is by He’s variational iteration method developed for various boundary (end) conditions. The beam’s natural frequencies and mode shapes are obtained, with rapid convergence noted during the calculations. The calculation method is tested using a clamped-clamped beam. In this paper a robust and efficient algorithm is also given, based on He’s method, which can be easily modified for more complicated elastic foundations.

Original languageEnglish
Pages (from-to)1022-1026
Number of pages5
JournalSpringer Series in Geomechanics and Geoengineering
Issue number216849
DOIs
Publication statusPublished - Jan 1 2018
EventChina-Europe Conference on Geotechnical Engineering, 2016 - Vienna, Austria
Duration: Aug 13 2016Aug 16 2016

Keywords

  • Free vibrations
  • He’s variational method
  • Winkler foundation

ASJC Scopus subject areas

  • Geotechnical Engineering and Engineering Geology
  • Mechanics of Materials

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