000021386 001__ 21386
000021386 005__ 20170522124352.0
000021386 04107 $$aeng
000021386 046__ $$k2017-05-15
000021386 100__ $$aMusil, M.
000021386 24500 $$aPARAMETRIC INSTABILITY OF THE PLANE FREE SURFACE OF THE LIQUID IN CYLINDRICAL STORAGE TANKS

000021386 24630 $$n23.$$pEngineering Mechanics 2017
000021386 260__ $$bBrno University of Technology, Institute of Solid Mechanics, Mechatronics and Biomechanics, Brno
000021386 506__ $$arestricted
000021386 520__ $$2eng$$aThe paper deals with the dynamic analysis of the ground-supported cylindrical vertical liquid storage tanks with the aim to determine the response of the upper liquid portion during vertical excitation. Tanks are used as storage for liquids in various sectors of industry. Hence, it is a request for satisfactory performance during dynamic loadings (e.g. earthquakes). The paper is dedicated to the phenomenon associated with the vertical oscillations of the liquid which results in the standing waves at the free surface known as Faraday waves. The analysis of a linear mathematical model for ideal liquid subjected to the vertical excitation with the constant amplitude and frequency is presented. It takes into account the theory introduced by Benjamin and Ursell which leads to the Mathieu equation for parametric vibration. Using Mathieu formulation, the mth mode of oscillation is excited when the combination of parameters corresponding to the amplitude and frequency lies in an unstable region of the stability chart. The free surface remains plane when assuming a pair of parameters in a stable region.

000021386 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000021386 653__ $$aFaraday waves, Parametric instability, Mathieu equation, Free surface, Liquid storage tank.

000021386 7112_ $$aEngineering Mechanics 2017$$cSvratka, CZ$$d2017-05-15 / 2017-05-18$$gEM2017
000021386 720__ $$aMusil, M.$$iSivý, M.
000021386 8560_ $$ffischerc@itam.cas.cz
000021386 8564_ $$s956185$$uhttps://invenio.itam.cas.cz/record/21386/files/0686.pdf$$yOriginal version of the author's contribution in proceedings, page 686, section DYN.
000021386 962__ $$r21225
000021386 980__ $$aPAPER