Abstract
This paper examines the nonlinear modal interaction between liquid hydrodynamic impacting with an elastic support structure. The liquid impact is modeled based on a phenomenological concept by introducing a power nonlinearity with a higher exponent A special saw-tooth time transformation (STTT) technique is used to analytically describe the in-phase and out-of-phase strongly nonlinear periodic regimes. Based on explicit forms of analytical solutions all basic characteristics of the nonlinear free and forced response regimes such as time history, amplitude-frequency dependencies and nonlinear parametric resonance curves are estimated. The response behavior reveals that high frequency out-of-phase nonlinear mode takes place with a relatively small tank amplitude and is more stable than the in-phase oscillation mode under small perturbations. The in-phase mode has relatively large tank amplitudes and does not preserve its symmetry under the periodic parametric excitation.
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