Dynamic response of a heavy ball rolling inside a spherical dish under external excitation
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68378297%3A_____%2F13%3A00392478" target="_blank" >RIV/68378297:_____/13:00392478 - isvavai.cz</a>
Result on the web
—
DOI - Digital Object Identifier
—
Alternative languages
Result language
angličtina
Original language name
Dynamic response of a heavy ball rolling inside a spherical dish under external excitation
Original language description
The set of a heavy metallic ball which is rolling freely inside a semispherical dish with larger diameter, being fixed to structure, is frequently used as tuned mass damper of vibration. Ratio of both diameters, mass of the rolling ball, quality of contact surfaces and other parameters should correspond with characteristics of the structure. The ball damper is modelled as a non-holonomic system. Hamiltonian functional including an adequate form of the Rayleigh function is formulated in moving coordinates using Euler angles and completed by ancillary constraints via Lagrangian multipliers. Subsequently Lagrangian differential system is carried out. Together with rolling conditions the governing system of seven equations is formulated. Later Lagrangian multipliers character is analysed and redundant motion components are eliminated. First integrals are derived and main energy balances evaluated together with their physical interpretation. Discussion of basic dynamic properties of the sys
Czech name
—
Czech description
—
Classification
Type
D - Article in proceedings
CEP classification
JM - Structural engineering
OECD FORD branch
—
Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Engineering Mechanics 2013
ISBN
978-80-87012-47-5
ISSN
1805-8256
e-ISSN
—
Number of pages
9
Pages from-to
390-398
Publisher name
Institute of Thermomechanics, Academy of Sciences of the Czech Republic, v. v. i.
Place of publication
Prague
Event location
Svratka
Event date
May 13, 2013
Type of event by nationality
EUR - Evropská akce
UT code for WoS article
—