Abstract
Nonlinear coupling dynamics between a spring-mass system and a finite amplitude sloshing system with liquid in a cylindrical tank is investigated. Based on a group of nonlinear coupling equations of six degrees of freedoms, analytical formulae of forces and moments of the liquid large amplitude sloshing were obtained. Nonlinearity of the forces and moments of the sloshing was induced by integrating on final configuration of liquid sloshing and the nonlinear terms in the liquid pressure formula. The symmetry between the formula of Ox and Oy direction proves that the derivation is correct. According to the coupled mechanism, the formulae are available in other liquid-solid coupled systems. Simulations and corresponding experimental results are compared. It is shown that the forces and moments formulae by integrating on the final sloshing configuration are more reasonable. The omitted high-dimensional modal bases and high-order nonlinear terms and the complexity of sloshing damping are main sources of errors.
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Gou, Xy., Li, Ts., Ma, Xr. et al. Forces and Moments of the Liquid Finite Amplitude Sloshing in a Liquid-Solid Coupled System. Applied Mathematics and Mechanics 22, 528–540 (2001). https://doi.org/10.1023/A:1016307314234
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DOI: https://doi.org/10.1023/A:1016307314234