Non-holonomic dynamics of a ball moving inside a spherical cavity

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68378297%3A_____%2F17%3A00478715" target="_blank" >RIV/68378297:_____/17:00478715 - isvavai.cz</a>

Result on the web

<a href="http://www.sciencedirect.com/science/article/pii/S1877705817335415" target="_blank" >http://www.sciencedirect.com/science/article/pii/S1877705817335415</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.proeng.2017.09.105" target="_blank" >10.1016/j.proeng.2017.09.105</a>

Result language

angličtina

Original language name

Non-holonomic dynamics of a ball moving inside a spherical cavity

Original language description

The ball type vibration absorbers are popular to be used at slender structures like masts or towers when a vertical space available and maintenance possibilities are limited. In general, the absorber consists of a cavity in which a heavy ball is rolling. 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 system is strongly non-linear and, consequently, the full 3D mathematical model should be carried out and discussed. With respect to previous experiences the basic strategy declines the Lagrangian procedure including conventional constraints via Lagrangian multipliers. Instead of that the Gibbs-Appell formulation is used. The system has an auto-parametric character. 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. 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

—

Czech description

—

Type

D - Article in proceedings

CEP classification

—

OECD FORD branch

20102 - Construction engineering, Municipal and structural engineering

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

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

Publication year

2017

Confidentiality

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

Article name in the collection

Procedia Engineering

ISBN

—

ISSN

1877-7058

e-ISSN

—

Number of pages

6

Pages from-to

613-618

Publisher name

Elsevier

Place of publication

Amsterdam

Event location

Řím

Event date

Sep 10, 2017

Type of event by nationality

WRD - Celosvětová akce

UT code for WoS article

000422868900096