Stable and unstable solutions in auto-parametric resonance zone of a non-holonomic system

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Stable and unstable solutions in auto-parametric resonance zone of a non-holonomic system

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Stable and unstable solutions in auto-parametric resonance zone of a non-holonomic system

Popis výsledku anglicky

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.

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

Nonlinear Dynamics

ISSN

0924-090X

e-ISSN

—

Svazek periodika

99

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

CH - Švýcarská konfederace

Počet stran výsledku

14

Strana od-do

299-312

Kód UT WoS článku

000508426900017

EID výsledku v databázi Scopus

2-s2.0-85068207648