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Super and sub-harmonic synchronization in generalized van der Pol oscillator
- 1.0509311 - ÚTAM 2020 RIV GB eng J - Journal Article
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
R&D Projects: GA ČR(CZ) GC17-26353J
Institutional support: RVO:68378297
Keywords : generalized van der Pol equation * quasiperiodic response * sub- and super-harmonic synchronization * beating effect
OECD category: Civil engineering
Impact factor: 3.664, year: 2019
Method of publishing: Limited access
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.
Permanent Link: http://hdl.handle.net/11104/0300057
Number of the records: 1