Singular solutions of a non-holonomic system as limits separating solution groups of particular type

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68378297%3A_____%2F18%3A00494187" target="_blank" >RIV/68378297:_____/18:00494187 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.1051/matecconf/201821104001" target="_blank" >https://doi.org/10.1051/matecconf/201821104001</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1051/matecconf/201821104001" target="_blank" >10.1051/matecconf/201821104001</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Singular solutions of a non-holonomic system as limits separating solution groups of particular type

Popis výsledku v původním jazyce

The non-holonomic system represents a model of the ball tuned mass damper (TMD), as used to absorb vibration of selected engineering structures, where conventional absorber types are inapplicable. The device consists of a ball moving within a spherical cavity fixed with the structure. To deduce a governing diferential system the Appel-Gibbs formulation has been employed. The non-linear mathematical model includes six degrees of freedom and three non-holonomic constraints. The system has an auto-parametric character. The homogeneous di_erential system in the normal form is formulated. Its general properties are investigated for various settings of non-homogeneous initial conditions. Several singular solutions are extracted and physically interpreted. In principal, they represent limits separating solution groups of a certain character. The shape and general character of regular solutions within individual domains staked out by these limits are analyzed in order to facilitate a practical application of this theoretical background.

Název v anglickém jazyce

Singular solutions of a non-holonomic system as limits separating solution groups of particular type

Popis výsledku anglicky

The non-holonomic system represents a model of the ball tuned mass damper (TMD), as used to absorb vibration of selected engineering structures, where conventional absorber types are inapplicable. The device consists of a ball moving within a spherical cavity fixed with the structure. To deduce a governing diferential system the Appel-Gibbs formulation has been employed. The non-linear mathematical model includes six degrees of freedom and three non-holonomic constraints. The system has an auto-parametric character. The homogeneous di_erential system in the normal form is formulated. Its general properties are investigated for various settings of non-homogeneous initial conditions. Several singular solutions are extracted and physically interpreted. In principal, they represent limits separating solution groups of a certain character. The shape and general character of regular solutions within individual domains staked out by these limits are analyzed in order to facilitate a practical application of this theoretical background.

Druh

D - Stať ve sborníku

CEP obor

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OECD FORD obor

20102 - Construction engineering, Municipal and structural engineering

Projekt

<a href="/cs/project/GC17-26353J" target="_blank" >GC17-26353J: Teoretické prediktivní modely interakce proměnného a pohyblivého zatížení využitelné v monitoringu mostních konstrukcí</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2018

Kód důvěrnosti údajů

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

Název statě ve sborníku

MATEC Web of Conferences

ISBN

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ISSN

2261-236X

e-ISSN

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Počet stran výsledku

7

Strana od-do

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Název nakladatele

EDP Sciences

Místo vydání

Paris

Místo konání akce

Lisbon

Datum konání akce

10. 9. 2018

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

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