Singular solutions of a non-holonomic system as limits separating solution groups of particular type
The result's identifiers
Result code in 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>
Result on the web
<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>
Alternative languages
Result language
angličtina
Original language name
Singular solutions of a non-holonomic system as limits separating solution groups of particular type
Original language description
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.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
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OECD FORD branch
20102 - Construction engineering, Municipal and structural 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
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
MATEC Web of Conferences
ISBN
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ISSN
2261-236X
e-ISSN
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Number of pages
7
Pages from-to
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Publisher name
EDP Sciences
Place of publication
Paris
Event location
Lisbon
Event date
Sep 10, 2018
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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