Post-critical behavior of an auto-parametric aero-elastic system with two degrees of freedom

0537600 - ÚTAM 2021 RIV GB eng J - Journal Article
Náprstek, Jiří - Fischer, Cyril
Post-critical behavior of an auto-parametric aero-elastic system with two degrees of freedom.
International Journal of Non-Linear Mechanics. Roč. 121, May (2020), č. článku 103441. ISSN 0020-7462. E-ISSN 1878-5638
R&D Projects: GA ČR(CZ) GA19-21817S
Institutional support: RVO:68378297
Keywords : non-linear aero-elastic system * generalized van der Pol equation * instability * Routh–Hurwitz conditions * flutter
OECD category: Civil engineering
Impact factor: 2.985, year: 2020
Method of publishing: Limited access
https://doi.org/10.1016/j.ijnonlinmec.2020.103441

A generalized two-degree-of-freedom non-linear mathematical system with non-linear gyroscopic and nonconservative terms was used to set up a model for heave and pitch self-excited motion. The stability conditions for a girder with a bluff cross-section in wind flow were identified and presented. The analysis, based on the Routh–Hurwitz conditions and a numerical evaluation of the model, comprises both the self-excited case and an assumption of a harmonic load. The boundaries between different response types that depend on the frequencies of two principal aero-elastic modes are shown. The properties of the response located at these limits and the tendencies of the response in their neighborhood are discussed. The results can be used to explain several experimentally observed effects.
Permanent Link: http://hdl.handle.net/11104/0315423