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

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

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

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

20101 - Civil 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

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2020

Kód důvěrnosti údajů

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

Název periodika

Journal of Vibration Engineering & Technologies

ISSN

2321-3558

e-ISSN

—

Svazek periodika

8

Číslo periodika v rámci svazku

2

Stát vydavatele periodika

IN - Indická republika

Počet stran výsledku

16

Strana od-do

269-284

Kód UT WoS článku

000522457000002

EID výsledku v databázi Scopus

2-s2.0-85071194292