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Coupled free vibration of liquid in tanks with membrane/ice covers

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SIPW05 - SIP Follow on: Mathematics of sea ice in the twenty-first century

The talk will focus on the coupled motion of the sloshing of liquid in a tank and the vibration of its elastic cover, such as a membrane or ice/plate cover. In particular, the circular cylindrical and cubic tanks have been considered. Semi-analytical schemes have been developed for solving the Laplace equation with boundary conditions with high order derivatives, which has posed a major challenge to the problem. Equations for the natural frequencies of the coupling system are obtained. Detailed investigation of the corresponding natural mode shapes and principal strains of the cover has been undertaken, which provides insight into the physic features in the coupled motion. The obtained results can be used for the applications of seiches in cold regions, and tuned liquid dampers (TLD) in civil and marine engineering.

This talk is part of the Isaac Newton Institute Seminar Series series.

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