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 language | English |
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Pages (from-to) | 1022-1026 |
Number of pages | 5 |
Journal | Springer Series in Geomechanics and Geoengineering |
Issue number | 216849 |
DOIs | |
Publication status | Published - Jan 1 2018 |
Event | China-Europe Conference on Geotechnical Engineering, 2016 - Vienna, Austria Duration: Aug 13 2016 → Aug 16 2016 |
Keywords
- Free vibrations
- He’s variational method
- Winkler foundation
ASJC Scopus subject areas
- Geotechnical Engineering and Engineering Geology
- Mechanics of Materials