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Statements

Subject Item
n2:RIV%2F68378297%3A_____%2F13%3A00389045%21RIV13-GA0-68378297
rdf:type
skos:Concept n16:Vysledek
dcterms:description
The set of a heavy metallic ball which is rolling freely inside a semi-spherical 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 modeled 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 analyzed and redundant motion components are eliminated. First integrals are derived and main energy balances evaluated together with their physical interpretation. The set of a heavy metallic ball which is rolling freely inside a semi-spherical 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 modeled 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 analyzed and redundant motion components are eliminated. First integrals are derived and main energy balances evaluated together with their physical interpretation.
dcterms:title
Analytic model of a ball rolling on a spherical surface under harmonic kinematic excitation Analytic model of a ball rolling on a spherical surface under harmonic kinematic excitation
skos:prefLabel
Analytic model of a ball rolling on a spherical surface under harmonic kinematic excitation Analytic model of a ball rolling on a spherical surface under harmonic kinematic excitation
skos:notation
RIV/68378297:_____/13:00389045!RIV13-GA0-68378297
n16:predkladatel
n17:ico%3A68378297
n3:aktivita
n11:I n11:P
n3:aktivity
I, P(GA103/09/0094), P(IAA200710902)
n3:dodaniDat
n5:2013
n3:domaciTvurceVysledku
n9:9506764 n9:1661353
n3:druhVysledku
n14:D
n3:duvernostUdaju
n7:S
n3:entitaPredkladatele
n18:predkladatel
n3:idSjednocenehoVysledku
60754
n3:idVysledku
RIV/68378297:_____/13:00389045
n3:jazykVysledku
n13:eng
n3:klicovaSlova
non-holonomic systems; Hamilton functional with constrains; moving coordinates; non-linear vibration; vibration ball absorber
n3:klicoveSlovo
n4:non-holonomic%20systems n4:non-linear%20vibration n4:vibration%20ball%20absorber n4:Hamilton%20functional%20with%20constrains n4:moving%20coordinates
n3:kontrolniKodProRIV
[0429DACF1167]
n3:mistoKonaniAkce
Praha
n3:mistoVydani
Praha
n3:nazevZdroje
Dynamika strojů 2013
n3:obor
n20:JM
n3:pocetDomacichTvurcuVysledku
2
n3:pocetTvurcuVysledku
2
n3:projekt
n15:IAA200710902 n15:GA103%2F09%2F0094
n3:rokUplatneniVysledku
n5:2013
n3:tvurceVysledku
Náprstek, Jiří Fischer, Cyril
n3:typAkce
n19:EUR
n3:zahajeniAkce
2013-02-05+01:00
s:numberOfPages
8
n6:hasPublisher
Ústav termomechaniky AV ČR, v.v.i
n12:isbn
978-80-87012-44-4