English

Nano and viscoelastic Beck's column on elastic foundation

Classical Physics 2015-05-25 v1

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.

Keywords

Cite

@article{arxiv.1408.2686,
  title  = {Nano and viscoelastic Beck's column on elastic foundation},
  author = {Teodor M. Atanackovic and Yanni Bouras and Dusan Zorica},
  journal= {arXiv preprint arXiv:1408.2686},
  year   = {2015}
}