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

Result code in 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>
Result on the web
<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>

Result language
angličtina
Original language name
Nonlinear dynamics of ball vibration absorber considering stability, stationarity and rolling-condition boundaries
Original language description
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.
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
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OECD FORD branch
20302 - Applied mechanics

Project
<a href="/en/project/GA25-17552S" target="_blank" >GA25-17552S: Investigating Internal Resonances in Nonlinear Mechanical Systems with Multiple Autoparametric Couplings</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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