Resonance

0482303 - ÚTAM 2018 RIV GB eng M - Část monografie knihy
Náprstek, Jiří - Fischer, Cyril
Stochastic resonance and related topics.
Resonance. London: InTech, 2017 - (Awrejcewicz, J.), s. 35-69. Mathematics. ISBN 978-953-51-3633-0
Grant CEP: GA ČR(CZ) GA15-01035S
Institucionální podpora: RVO:68378297
Klíčová slova: stochastic resonance * post-critical processes * dynamic stability * Fokker-Planck equation * Galerkin approach
Obor OECD: Construction engineering, Municipal and structural engineering
https://www.intechopen.com/books/resonance/stochastic-resonance-and-related-topics

The stochastic resonance (SR) is the phenomenon which can emerge in nonlinear dynamic systems. In general, it is related with a bistable nonlinear system of Duffing type under additive excitation combining deterministic periodic force and Gaussian white noise. It manifests as a stable quasiperiodic interwellhopping betweenboth stable stateswith a small random perturbation. Classical definition and basic features of SR are regarded. The most important methods of investigation outlined are: analytical, semi-analytical, and numerical procedures of governing physical systems or relevant Fokker-Planck equation. Stochastic simulation ismentioned and experimentalway of results verification is recommended. Some areas in Engineering Dynamics related with SR are presented together with a particular demonstration observed in the aeroelastic stability. Interaction of stationary and quasiperiodic parts of the response is discussed. Some nonconventional definitions are outlined concerning alternative operators and driving processes are highlighted. The chapter shows a large potential of specific basic, applied and industrial research in SR. This strategy enables to formulate new ideas for both development of nonconventional measures for vibration damping and employment of SR in branches, where it represents an operating mode of the systemitself. Weaknesses and empty areaswhere the research effort of SR should be oriented are indicated.
Trvalý link: http://hdl.handle.net/11104/0277706