@inproceedings{96f164a8c3e044249e2a4938e7712421,
title = "Internal resonances and dynamic responses in equivalent mechanical model of partially liquid-filled vessel",
abstract = "The paper treats oscillations in an equivalent mechanical model for oscillations of a liquid in partially filled vessel under horizontal harmonic ground excitation. Such excitation may lead to hydraulic impacts. The liquid sloshing mass is modelled by equivalent pendulum, which can impact the vessel walls. We use parameters of the equivalent pendulum for well-explored case of cylindrical vessels. The hydraulic impacts are modelled by high-power potential function. Conditions for internal resonances are presented. A non-resonant behaviour and dynamic response related to 3:1 internal resonance are explored. When the excitation amplitude exceeds a critical value, the system exhibits multiple steady state solutions. Quasi-periodic solutions appear in relatively narrow range of parameters. Numerical continuation links between resonant regimes found asymptotically for small excitation amplitude, and high-amplitude responses with intensive impacts.",
author = "Maor Farid and Oleg Gendelman",
note = "Funding Information: The authors are very grateful to Israel Science Foundation (grant 838/13) for financial support.; 23rd International Congress on Sound and Vibration, ICSV 2016 ; Conference date: 10-07-2016 Through 14-07-2016",
year = "2016",
language = "الإنجليزيّة",
series = "ICSV 2016 - 23rd International Congress on Sound and Vibration: From Ancient to Modern Acoustics",
booktitle = "ICSV 2016 - 23rd International Congress on Sound and Vibration",
}