Beating effects in a single nonlinear dynamical system in a neighborhood of the resonance

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68378297%3A_____%2F16%3A00460900" target="_blank" >RIV/68378297:_____/16:00460900 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.4028/www.scientiflc.net/AMM.849.76" target="_blank" >http://dx.doi.org/10.4028/www.scientiflc.net/AMM.849.76</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.4028/www.scientiflc.net/AMM.849.76" target="_blank" >10.4028/www.scientiflc.net/AMM.849.76</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Beating effects in a single nonlinear dynamical system in a neighborhood of the resonance

Popis výsledku v původním jazyce

The exact coincidence of external excitation and basic eigen-frequency of a single degree of freedom (SDOF) nonlinear sytem produces stationary response with constant amplitude and phase shift. When the excitation frequency differs from the system eigen-frequency, various types of quasiperiodic response occur having a character of a beating process. The period of beating changes from infinity in the resonance point until a couple of excitation periods outside the resonance area. The above mentioned phenomena have been identified in many papers including authors' contributions. Nevertheless, investigation of internal structure of a quasi-period and its dependence on the difference of excitation and eigen-frequency is sti ll missing. Combinations of harmonic balance and small parameter methods are used for qualitative analysis of the system in mono- and multi-harmonic versions. They lead to nonlinear differential and algebraic equations serving as a basis for qualitative analytic estimation or numerical description of characteristics of the quasi-periodic system response. Zero, first and second level perturbation techniques are used. Appearance, stability and neighborhood of limit cycles is evaluated. Numerical phases are based on simulation processes and numerical continuation tools. Parametric evaluation and illustrating examples are presented.

Název v anglickém jazyce

Beating effects in a single nonlinear dynamical system in a neighborhood of the resonance

Popis výsledku anglicky

The exact coincidence of external excitation and basic eigen-frequency of a single degree of freedom (SDOF) nonlinear sytem produces stationary response with constant amplitude and phase shift. When the excitation frequency differs from the system eigen-frequency, various types of quasiperiodic response occur having a character of a beating process. The period of beating changes from infinity in the resonance point until a couple of excitation periods outside the resonance area. The above mentioned phenomena have been identified in many papers including authors' contributions. Nevertheless, investigation of internal structure of a quasi-period and its dependence on the difference of excitation and eigen-frequency is sti ll missing. Combinations of harmonic balance and small parameter methods are used for qualitative analysis of the system in mono- and multi-harmonic versions. They lead to nonlinear differential and algebraic equations serving as a basis for qualitative analytic estimation or numerical description of characteristics of the quasi-periodic system response. Zero, first and second level perturbation techniques are used. Appearance, stability and neighborhood of limit cycles is evaluated. Numerical phases are based on simulation processes and numerical continuation tools. Parametric evaluation and illustrating examples are presented.

Druh

C - Kapitola v odborné knize

CEP obor

JM - Inženýrské stavitelství

OECD FORD obor

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Projekt

<a href="/cs/project/GA15-01035S" target="_blank" >GA15-01035S: Dynamická stabilita a post-kritické procesy v nekonzervativních a neholonomních stochastických soustavách s interakcemi</a><br>

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2016

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název knihy nebo sborníku

Dynamics and Control of Technical Systems II

ISBN

978-3-0357-1051-9

Počet stran výsledku

8

Strana od-do

76-83

Počet stran knihy

118

Název nakladatele

Trans Tech Publications

Místo vydání

Pfaffikon

Kód UT WoS kapitoly

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