000021389 001__ 21389
000021389 005__ 20170522124352.0
000021389 04107 $$aeng
000021389 046__ $$k2017-05-15
000021389 100__ $$aNáprstek, J.
000021389 24500 $$aNON-HOLONOMIC PLANAR AND SPATIAL MODEL OF A BALL-TYPE TUNED MASS DAMPING DEVICE

000021389 24630 $$n23.$$pEngineering Mechanics 2017
000021389 260__ $$bBrno University of Technology, Institute of Solid Mechanics, Mechatronics and Biomechanics, Brno
000021389 506__ $$arestricted
000021389 520__ $$2eng$$aThe area of tuned mass dampers is a wide field of inspiration for theoretical studies in non-linear dynamics and dynamic stability. The studies attempt to estimate behaviour of diverse damping devices and their reliability. The current paper deals with the response of a heavy ball rolling inside a spherical cavity under horizontal kinematic excitation. The non-linear system consists of six degrees of freedom with three non-holonomic constraints. The contact between the ball and the cavity surface is supposed to be perfect without any sliding. The mathematical model using the Appell-Gibbs function of acceleration energy is developed and discussed. Comparison with previous planar (SDOF) model which is based on the Lagrangian procedure is given. The system has an auto-parametric character and therefore semi-trivial solutions and their dynamic stability can be analysed. The most important post-critical regimes are outlined and qualitatively evaluated in resonance domain. Numerical experiments were performed when excitation frequency is slowly swept up and down to identify different modes of response. Some applications in civil engineering as a tuned mass damper, which can be used on slender structures, are mentioned. The proposed device is compared with a conventional pendulum damper. Strengths and weaknesses of both absorbers types are discussed.

000021389 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000021389 653__ $$aTuned mass damper, Moving ball, Appell-Gibbs formulation.

000021389 7112_ $$aEngineering Mechanics 2017$$cSvratka, CZ$$d2017-05-15 / 2017-05-18$$gEM2017
000021389 720__ $$aNáprstek, J.$$iFischer, C.
000021389 8560_ $$ffischerc@itam.cas.cz
000021389 8564_ $$s969455$$uhttps://invenio.itam.cas.cz/record/21389/files/0698.pdf$$yOriginal version of the author's contribution in proceedings, page 698, section DYN.
000021389 962__ $$r21225
000021389 980__ $$aPAPER