Nonlinear dynamics of ball vibration absorber considering stability, stationarity and rolling-condition boundaries

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F25%3A43975829" target="_blank" >RIV/49777513:23520/25:43975829 - isvavai.cz</a>

Výsledek na webu

<a href="https://www.sciencedirect.com/science/article/pii/S0022460X25003396?via%3Dihub" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0022460X25003396?via%3Dihub</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.jsv.2025.119265" target="_blank" >10.1016/j.jsv.2025.119265</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Nonlinear dynamics of ball vibration absorber considering stability, stationarity and rolling-condition boundaries

Popis výsledku v původním jazyce

The paper presents a detailed nonlinear analysis of a ball vibration absorber (BVA), which consists of a harmonic oscillator with a spherical cavity and a rolling ball as an absorber. Frequency response curves are calculated using the harmonic balance method and pseudo arc length continuation, and stability is assessed using stability analysis applied to modulation equations. This is particularly important at higher excitation amplitudes where the modulation equations provide information on the presence of strongly modulated response regimes. Codimension-2 continuation is used to identify the onset of instability and non-stationary regions with respect to all key design parameters. The study highlights the critical role of the rolling and contact conditions in maintaining the validity of the solution and provides conditions for their satisfaction. The results provide valuable insights into the non-linear dynamic behaviour of the BVA, revealing its effectiveness in vibration reduction and its limitations due to parameter selection and design constraints.

Název v anglickém jazyce

Nonlinear dynamics of ball vibration absorber considering stability, stationarity and rolling-condition boundaries

Popis výsledku anglicky

The paper presents a detailed nonlinear analysis of a ball vibration absorber (BVA), which consists of a harmonic oscillator with a spherical cavity and a rolling ball as an absorber. Frequency response curves are calculated using the harmonic balance method and pseudo arc length continuation, and stability is assessed using stability analysis applied to modulation equations. This is particularly important at higher excitation amplitudes where the modulation equations provide information on the presence of strongly modulated response regimes. Codimension-2 continuation is used to identify the onset of instability and non-stationary regions with respect to all key design parameters. The study highlights the critical role of the rolling and contact conditions in maintaining the validity of the solution and provides conditions for their satisfaction. The results provide valuable insights into the non-linear dynamic behaviour of the BVA, revealing its effectiveness in vibration reduction and its limitations due to parameter selection and design constraints.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

20302 - Applied mechanics

Projekt

<a href="/cs/project/GA25-17552S" target="_blank" >GA25-17552S: Výzkum vnitřních rezonancí v nelineárních mechanických systémech s vícenásobnými autoparametrickými vazbami</a><br>

Návaznosti

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

Rok uplatnění

2025

Kód důvěrnosti údajů

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

Název periodika

JOURNAL OF SOUND AND VIBRATION

ISSN

0022-460X

e-ISSN

1095-8568

Svazek periodika

618

Číslo periodika v rámci svazku

DEC 10 2025

Stát vydavatele periodika

NL - Nizozemsko

Počet stran výsledku

23

Strana od-do

119265

Kód UT WoS článku

001519770800001

EID výsledku v databázi Scopus

2-s2.0-105008498796