Limit trajectories in a non-holonomic system of a ball moving inside a spherical cavity

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68378297%3A_____%2F20%3A00505748" target="_blank" >RIV/68378297:_____/20:00505748 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/s42417-019-00132-1" target="_blank" >https://doi.org/10.1007/s42417-019-00132-1</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s42417-019-00132-1" target="_blank" >10.1007/s42417-019-00132-1</a>

Result language
angličtina
Original language name
Limit trajectories in a non-holonomic system of a ball moving inside a spherical cavity
Original language description
The area of tuned mass dampers is a wide field of inspiration for theoretical studies in nonlinear dynamics and dynamic stability. In the paper, the authors analyze the regular and distinctive patterns of the free motion of a ball type tuned mass damper. The governing differential system modeling movement of a heavy ball rolling inside a spherical cavity is formulated and investigated, six degrees of freedom with three non-holonomic constraints and no slipping are assumed. Predominance of the Appell-Gibbs approach over the conventional Lagrangian procedure is pointed out when complicated non-holonomic systems are in question. General properties of the differential system in the normal form are discussed and possibilities of further investigation using semianalytical methods are outlined. Simultaneously, a wide program of numerical simulation is presented concerning the homogeneous system with a number of initial condition settings and other parameter variants. A number of limit trajectories are extracted and physically interpreted. The shape and general character of regular solutions within individual domains delimited by these limits are analyzed in order to facilitate a practical application of this theoretical background. Assumptions of further investigation are outlined.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
20101 - Civil engineering

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

Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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