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https://open.uns.ac.rs/handle/123456789/19611
Title: | Bifurcation analysis of the rotating axially compressed nano-rod with imperfections | Authors: | Atanacković Teodor Oparnica Ljubica Zorica Dušan |
Issue Date: | 2019 | Journal: | ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik | Abstract: | © 2019 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim 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. | URI: | https://open.uns.ac.rs/handle/123456789/19611 | ISSN: | 0044-2267 | DOI: | 10.1002/zamm.201800284 |
Appears in Collections: | PEF Publikacije/Publications |
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