000022826 001__ 22826
000022826 005__ 20220110134529.0
000022826 04107 $$aeng
000022826 046__ $$k2018-05-14
000022826 100__ $$aNáprstek, J.
000022826 24500 $$aForced movement of a ball in spherical cavity under kinematic excitation

000022826 24630 $$n24.$$pEngineering Mechanics 2018
000022826 260__ $$bInstitute of Theoretical and Applied Mechanics of the Cech Academy of Sciences, Prague
000022826 506__ $$arestricted
000022826 520__ $$2eng$$aIn 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. The most important post-critical regimes are outlined and qualitatively evaluated on the frequency axis. 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 are evaluated and physically interpreted. Some applications in civil engineering as a tuned mass damper used on slender structures is outlined. Strengths and weaknesses of solution method are evaluated.

000022826 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000022826 653__ $$anonlinear dynamics, non-holonomic systems, Appell-Gibbs formulation, singular states, tuned mass damper

000022826 7112_ $$aEngineering Mechanics 2018$$cSvratka, CZ$$d2018-05-14 / 2018-05-17$$gEM2018
000022826 720__ $$aNáprstek, J.$$iFischer, C.
000022826 8560_ $$ffischerc@itam.cas.cz
000022826 8564_ $$s459706$$uhttps://invenio.itam.cas.cz/record/22826/files/573.pdf$$yOriginal version of the author's contribution in proceedings, page , section DYN.
000022826 962__ $$r21225
000022826 980__ $$aPAPER