THE DYNAMICS OF A NON-LINEAR SYSTEM SIMULATING LIQUID SLOSHING IMPACT IN MOVING STRUCTURES

✍ Scribed by V.N. Pilipchuk; R.A. Ibrahim

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 320 KB
• Volume: 205
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1006/jsvi.1997.1034

✦ Synopsis

In this paper the non-linear modal interaction is examined betwen liquid hydrodynamic impact and an elastic support structure. The liquid impact is modelled based on a phenomenological concept by introducing a power non-linearity with a higher exponent. A special saw-tooth time transformation (STTT) technique is used analytically to describe the in-phase and out-of-phase strongly non-linear periodic regimes. Based on explicit forms of analytical solutions, all basic characteristics of the non-linear free and forced response regimes, such as the time history, the amplitude-frequency dependence and the non-linear parametric resonance curves, are estimated. The response behavior reveals that a high frequency out-of-phase non-linear 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 periodic parametric excitation.