Stable and unstable solutions in auto-parametric resonance zone of a non-holonomic system
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68378297%3A_____%2F20%3A00523725" target="_blank" >RIV/68378297:_____/20:00523725 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/s11071-019-04948-0" target="_blank" >https://doi.org/10.1007/s11071-019-04948-0</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s11071-019-04948-0" target="_blank" >10.1007/s11071-019-04948-0</a>
Alternative languages
Result language
angličtina
Original language name
Stable and unstable solutions in auto-parametric resonance zone of a non-holonomic system
Original language description
The aim of the study is to demonstrate a couple of special states which can be encountered at the system of a ball moving in a spherical cavity working as a passive tuned mass damper (TMD) of slender engineering structures. The system includes six degrees of freedom with three non-holonomic constraints being under horizontal additive kinematic excitation. The Appell–Gibbs approach is used to deduce the governing differential system. Uniaxial and biaxial types of kinematic excitation are considered. Among biaxial, a special attention is paid to circular setting. Influence of the rolling and spinning damping in contact of the ball with cavity is discussed. Under uniaxial excitation is the system auto-parametric and posses multiple solutions. The individual response branches can be identified when the excitation frequency is swept up or down with respect to setting up of initial conditions. Among stable branches reveal those with very low and sometimes zero approaching stability level. Although the accessibility of relevant trajectories is often very subtle due to effect of the dynamic stability, these post-critical phenomena accumulate a lot of energy.Hence, they can be very dangerous for TMD and other important engineering systems. Some general recommendations for practice are formulated.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
20101 - Civil engineering
Result continuities
Project
<a href="/en/project/GC17-26353J" target="_blank" >GC17-26353J: Theoretical predictive models of interaction between varying and moving loads and bridges for structural health monitoring</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Nonlinear Dynamics
ISSN
0924-090X
e-ISSN
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Volume of the periodical
99
Issue of the periodical within the volume
1
Country of publishing house
CH - SWITZERLAND
Number of pages
14
Pages from-to
299-312
UT code for WoS article
000508426900017
EID of the result in the Scopus database
2-s2.0-85068207648