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arXiv · 1408.2686

Nano and viscoelastic Beck's column on elastic foundation

Teodor M. Atanackovic·Yanni Bouras·Dusan Zorica
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Abstract

Beck's type column on Winkler type foundation is the subject of the present analysis. Instead of the Bernoulli-Euler model describing the rod, two generalized models will be adopted: Eringen non-local model corresponding to nano-rods and viscoelastic model of fractional Kelvin-Voigt type. The analysis shows that for nano-rod, the Herrmann-Smith paradox holds while for viscoelastic rod it does not.

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Teodor M. Atanackovic, Yanni Bouras, Dusan Zorica. 2014-08-12. Nano and viscoelastic Beck's column on elastic foundation. https://doi.org/10.1007/s00707-015-1327-1

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