Authors: | Atanacković, Teodor Oparnica, Ljubica Zorica, Dušan |
Title: | Bifurcation analysis of the rotating axially compressed nano-rod with imperfections |
Journal: | ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik |
Volume: | 99 |
Issue: | 7 |
Issue Date: | 1-Jul-2019 |
Rank: | M22 |
ISSN: | 0044-2267 |
DOI: | 10.1002/zamm.201800284 |
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. |
Keywords: | critical load parameters | Lyapunov-Schmidt reduction | rotating nano-rod | two-parameter universal unfolding |
Publisher: | Wiley |
Project: | Viscoelasticity of fractional type and shape optimization in a theory of rods Methods of Functional and Harmonic Analysis and PDE with Singularities Provincial Secretariat for Higher Education and Scientific Research, Grant 142-451-2384/2018 |
Show full item record
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.