Liquid containers constitute major components in a number of dynamical systems, such as aerospace vehicles, road tankers and liquefied natural gas carriers. Liquid sloshing in a moving container creates a broad class of problems of practical safety, including tank trucks on highways, liquid tank cars on railroads and liquid cargo in ocean-going vessels. Gasoline and other flammable liquid tankers are prone to rollover accidents when entering and exiting highways. In this paper the non-linear modal interaction is examined between 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.
The dynamics of a non-linear system simulating liquid sloshing impact in movingstructures
Dynamik eines nichtlinearen Systems zur Simulierung von Flüssigkeitsschwappstößen in bewegten Konstruktionen
Journal of Sound and Vibration ; 205 , 5 ; 593-615
1997
23 Seiten, 12 Bilder, 29 Quellen
Article (Journal)
English
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