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The paper treats oscillations of a liquid in partially filled vessel underhorizontal harmonic ground excitation. Such excitation may lead to hydraulicimpacts. The liquid sloshing mass is modeled by equivalent pendulum, which canimpact the vessel walls. We use parameters of the equivalent pendulum forwell-explored case of cylindrical vessels. The hydraulic impacts are modeled byhigh-power potential function. Conditions for internal resonances arepresented. A non-resonant behavior and dynamic response related to 3:1 internalresonance are explored. When the excitation amplitude exceeds a critical value,the system exhibits multiple steady state solutions. Quasi-periodic solutionsappear in relatively narrow range of parameters. Numerical continuation linksbetween resonant regimes found asymptotically for small excitation amplitude,and high-amplitude responses with intensive impacts.

Internal resonances and dynamic responses in equivalent mechanical model of partially liquid-filled vessel