000012587 001__ 12587
000012587 005__ 20160920162631.0
000012587 04107 $$aeng
000012587 046__ $$k2016-09-05
000012587 100__ $$aNáprstek, J.
000012587 24500 $$aDynamic behavior and stability of a ball rolling inside a spherical surface under external excitation

000012587 24630 $$n6.$$pInsights and Innovations in Structural Engineering, Mechanics and Computation
000012587 260__ $$bTaylor and Francis Group, London, UK
000012587 506__ $$arestricted
000012587 520__ $$2eng$$aThe area of tuned mass dampers is a wide field of inspiration for theoretical studies in nonlinear dynamics and dynamic stability. They attempt to estimate their behavior and reliability of their function. 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 mathematical model using the Appel-Gibbs function of acceleration energy is developed and discussed. Comparison with conventional way via Lagrangian procedures is given. The system has an auto-parametric character and therefore semi-trivial solutions and their dynamic stability is analyzed. 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. Results obtained by means of semi-analytical investigation and numerical simulation have been evaluated and physically interpreted. 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.

000012587 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000012587 653__ $$a

000012587 7112_ $$aSixth International Conference on Structural Engineering, Mechanics and Computation$$cCape Town, South Africa$$d2016-09-05 / 2016-09-07$$gSEMC2016
000012587 720__ $$aNáprstek, J.$$iFischer, C.
000012587 8560_ $$ffischerc@itam.cas.cz
000012587 8564_ $$s765722$$uhttps://invenio.itam.cas.cz/record/12587/files/035.pdf$$yOriginal version of the author's contribution as presented on CD, 035.pdf.
000012587 962__ $$r12552
000012587 980__ $$aPAPER