Super and sub-harmonic synchronization in generalized van der Pol oscillator

0509311 - ÚTAM 2020 RIV GB eng J - Článek v odborném periodiku
Náprstek, Jiří - Fischer, Cyril
Super and sub-harmonic synchronization in generalized van der Pol oscillator.
Computers and Structures. Roč. 224, November (2019), č. článku UNSP 106103. ISSN 0045-7949. E-ISSN 1879-2243
Grant CEP: GA ČR(CZ) GC17-26353J
Institucionální podpora: RVO:68378297
Klíčová slova: generalized van der Pol equation * quasiperiodic response * sub- and super-harmonic synchronization * beating effect
Obor OECD: Civil engineering
Impakt faktor: 3.664, rok: 2019
Způsob publikování: Omezený přístup
https://doi.org/10.1016/j.compstruc.2019.106103

Effects of quasiperiodic beatings and sub- and super-harmonic synchronization reveal in plasma physics, optics, acoustics, neurophysiology, etc., but also very often in aero-elasticity of large slender engineering structures, e.g., bridge decks, towers, masts, high rise buildings, ropes, where these phenomena emerge in relation with vortex shedding effects. This applies mainly to quasiperiodic beatings that can be encountered especially in the lock-in regimes, when the vortex frequency becomes close to the structure eigenfrequency x0 with a small positive or negative detuning. This phenomenon has been thoroughly investigated for the van der Pol system in the previous study by the authors of this paper. However, experimental testing in a wind tunnel showed also other phenomena that can occur in the system resonance zone due to excitations with a multiple or rational fraction frequency leading to sub- or super-harmonic synchronization. All these effects are very dangerous from the viewpoint of reliability and safety of respective systems and hence, a robust theoretical background for design of adequate countermeasures are worthwhile to be developed. In this subsequent study the original sub- and supersynchronization effects are identified and quantified including assessment of their dynamic stability.
Trvalý link: http://hdl.handle.net/11104/0300057