000022372 001__ 22372
000022372 005__ 20170622150010.0
000022372 04107 $$aeng
000022372 046__ $$k2015-05-25
000022372 100__ $$aNáprstek, Jiří
000022372 24500 $$aCOMPARISON OF NUMERICAL AND SEMI-ANALYTICAL SOLUTION OF A SIMPLE NON-LINEAR SYSTEM IN STATE OF THE STOCHASTIC RESONANCE

000022372 24630 $$n5.$$pComputational Methods in Structural Dynamics and Earhquake Engineering
000022372 260__ $$bNational Technical University of Athens, 2015
000022372 506__ $$arestricted
000022372 520__ $$2eng$$aStochastic resonance (SR) is a phenomenon which can be observed at some nonlinear dynamic systems under combined excitation including deterministic harmonic force and random noise. The Duffing single degree of freedom oscillator is treated and the Gaussian white noise as the random excitation component is considered. Mathematical basis of this phenomenon follows from properties of the Duffing system with negative linear part of the stiffness. Under certain combinations of the system and excitation parameters the SR can emerge. It manifests by stable periodic hopping between two nearly constant limits perturbed by random noises. SR is observed and practically used in a number of disciplines in physics, biophysics, chemistry, etc. However it seems to be promising as a theoretical model of several aeroelastic post-critical effects arising at a prismatic beam in a cross flow. Three independent theoretical solution methods have been addressed and tested in order to compare results of the system response. The first kind is semi-analytic dealing with the relevant Fokker-Planck Equation (FP). It is solved by means of the stochastic moment procedure. The multiharmonic non-stationary solution of the Probability Density Function (PDF) is expected. The Galerkin approach is adopted. The second way is based on the FEM solution of the FP equation. It is analyzed in an original evolutionary form which enables an analysis of transition effects starting the Dirac type initial conditions. The last procedure represents simulation regarding the original Duffing or relevant Ito stochastic system. Comparison of results provided by the above three methods has revealed appropriate domains of their application to particular problems regarding a preliminary analysis or careful detailed inspection in specific small domains in final stage of an engineering system design.

000022372 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000022372 653__ $$aStochastic resonance, interwell hopping, non-linear vibration, aeroelastic divergence, Fokker-Planck equation.

000022372 7112_ $$aCOMPDYN 2015 - 5th International Thematic Conference$$cCrete (GR)$$d2015-05-25 / 2015-05-27$$gCOMPDYN2015
000022372 720__ $$aNáprstek, Jiří$$iPospíšil, Stanislav$$iKrál, Radomil$$iFischer, Cyril
000022372 8560_ $$ffischerc@itam.cas.cz
000022372 8564_ $$s926677$$uhttps://invenio.itam.cas.cz/record/22372/files/C626.pdf$$yOriginal version of the author's contribution as presented on CD, section: 
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000022372 962__ $$r22030
000022372 980__ $$aPAPER