Beating effects in a single nonlinear dynamical system in a neighborhood of the resonance
The result's identifiers
Result code in 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>
Result on the web
<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>
Alternative languages
Result language
angličtina
Original language name
Beating effects in a single nonlinear dynamical system in a neighborhood of the resonance
Original language description
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.
Czech name
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Czech description
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Classification
Type
C - Chapter in a specialist book
CEP classification
JM - Structural engineering
OECD FORD branch
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Result continuities
Project
<a href="/en/project/GA15-01035S" target="_blank" >GA15-01035S: Dynamic stability and post-critical processes in non-conservative and non-holonomic stochastic systems with interactions</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Book/collection name
Dynamics and Control of Technical Systems II
ISBN
978-3-0357-1051-9
Number of pages of the result
8
Pages from-to
76-83
Number of pages of the book
118
Publisher name
Trans Tech Publications
Place of publication
Pfaffikon
UT code for WoS chapter
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