Influence of internal and external damping on the stability of Beck's column on an elastic foundation

Becker, M.; Hauger, Werner; Winzen, W.

doi:10.1016/0022-460x(77)90460-6

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2015

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Cited by 9 publications

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“…In terms of the moment-curvature constitutive equation, if the column is assumed to be viscoelastic, rather than elastic, the paradox has been shown to be removed. We refer to [10,17], where viscoelastic moment-curvature constitutive relationship is adopted in addition to other generalizations. On resolution of the Herrmann-Smith paradox, another paradox arises known as the Ziegler (destabilization) paradox, see [34].…”

Section: Introductionmentioning

confidence: 99%

Nano- and viscoelastic Beck’s column on elastic foundation

2015

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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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Section: Introductionmentioning

confidence: 99%