000003638 001__ 3638
000003638 005__ 20141118153352.0
000003638 04107 $$acze
000003638 046__ $$k2013-05-13
000003638 100__ $$aNáprstek, J.
000003638 24500 $$aDYNAMIC RESPONSE OF A HEAVY BALL ROLLING INSIDE A SPHERICAL DISH UNDER EXTERNAL EXCITATION.

000003638 24630 $$n19.$$pEngineering Mechanics 2013
000003638 260__ $$bInstitute of Thermomechanics AS CR, v.v.i., Praha
000003638 506__ $$arestricted
000003638 520__ $$2eng$$aThe 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 system is provided.

000003638 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000003638 653__ $$anon-holonomic systems, Hamilton functional with constrains, moving coordinates, non-linear vibration, vibration ball absorber

000003638 7112_ $$aEngineering Mechanics 2013$$cSvratka (CZ)$$d2013-05-13 / 2013-05-16$$gEM2013
000003638 720__ $$aNáprstek, J.$$iFischer, C.
000003638 8560_ $$ffischerc@itam.cas.cz
000003638 8564_ $$s974334$$uhttps://invenio.itam.cas.cz/record/3638/files/012_Naprstek_J-FT.pdf$$y
             Original version of the author's contribution as presented on CD, DYN.
            
000003638 962__ $$r3632
000003638 980__ $$aPAPER