Dynamic behavior and stability of a ball rolling inside a spherical surface under external excitation

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68378297%3A_____%2F16%3A00462846" target="_blank" >RIV/68378297:_____/16:00462846 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Dynamic behavior and stability of a ball rolling inside a spherical surface under external excitation

Original language description

The area of tuned mass dampers is a wide field of inspiration for theoretical studies in nonlinear dynamics and dynamic stability. They attempt to estimate their behavior and reliability of their function. In the paper the response of a heavy ball rolling inside a semi-spherical cavity under horizontal kinematic excitation is investigated. The system with six degrees of freedom with three non-holonomic constraints is considered. The contact between the ball and the cavity surface is supposed to be perfect without any sliding. The mathematical model using the Appel-Gibbs function of acceleration energy is developed and discussed. Comparison with conventional way via Lagrangian procedures is given. The system has an auto-parametric character and therefore semi-trivial solutions and their dynamic stability is analyzed. The most important post-critical regimes are outlined and qualitatively evaluated in resonance domain. Numerical experiments have been performed when excitation frequency is slowly swept up and down. Results obtained by means of semi-analytical investigation and numerical simulation have been evaluated and physically interpreted. Some applications in civil engineering as a tuned mass damper used on slender structures is outlined and compared with a conventional pendulum damper. Strengths and weaknesses of both absorbers types are discussed.

Czech name

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Czech description

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Type

D - Article in proceedings

CEP classification

JM - Structural engineering

OECD FORD branch

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Project

<a href="/en/project/GA15-01035S" target="_blank" >GA15-01035S: Dynamic stability and post-critical processes in non-conservative and non-holonomic stochastic systems with interactions</a><br>

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2016

Confidentiality

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

Article name in the collection

Insights and innovations in structural engineering, mechanics and computation

ISBN

978-1-138-02927-9

ISSN

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e-ISSN

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Number of pages

6

Pages from-to

214-219

Publisher name

Taylor & Francis

Place of publication

London

Event location

Cape Town

Event date

Sep 5, 2016

Type of event by nationality

WRD - Celosvětová akce

UT code for WoS article

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