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arXiv · 1811.12057

Bifurcation analysis of rotating axially compressed imperfect nano-rod

Teodor M. Atanacković·Ljubica Oparnica·Dušan Zorica
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Abstract

Static stability problem for axially compressed rotating nano-rod clamped at one and free at the other end is analyzed by the use of bifurcation theory. It is obtained that the pitchfork bifurcation may be either super- or sub-critical. Considering the imperfections in rod's shape and loading, it is proved that they constitute the two-parameter universal unfolding of the problem. Numerical analysis also revealed that for non-locality parameters having higher value than the critical one interaction curves have two branches, so that for a single critical value of angular velocity there exist two critical values of horizontal force.

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Teodor M. Atanacković, Ljubica Oparnica, Dušan Zorica. 2018-11-29. Bifurcation analysis of rotating axially compressed imperfect nano-rod. https://doi.org/10.1002/zamm.201800284

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