| Summary: | 博士 === 國立臺灣大學 === 土木工程學研究所 === 91 === The interaction between liquids and structures is emphasized in this study. First of all, the numerical approach for the liquid sloshing phenomenon inside a rigid tank subjected to a horizontal excitation is established. The liquid is assumed to be potential flow. Therefore, the Boundary Element Methods with the Lagrangian coordinate description and Taylor series expansion is applied to solve the non-linear sloshing problem. The hydrodynamic pressure on the tank wall is obtained by the use of the Bernoulli’s Equation, and the base shear force due to liquid sloshing can be calculated by the integration of the hydrodynamic pressure along the tank wall. Second, the base shear force is applied on the structure to simulate the interaction between liquids and structures. Then the space state vector method is treated to solve the transient structural responses. Hence, the interaction between liquids and structure can be studied by the present numerical scheme in detail.
In this study, both numerical simulations and scaled model tests are adopted for the investigations of two engineering applications as following. The seismic isolation of rigid liquid-storage tanks is considered as the first application in this work. Based on the experimental and numerical results, an isolator with long natural period can deduce the seismic responses of the storage tank significantly, such as the tank acceleration, the base shear force, and the wave elevation. Second, the Tuned Liquid Damper (or TLD) is also investigated in the present work. The careful discussion on the mechanism of the TLD’s vibration-reduction ability is intensively addressed. In general, the TLD can mitigate structural vibrations efficiently while the liquid natural frequency is close to the one of the main structure. The damping coefficient of the liquid inside the TLD is also a very important factor for the effectiveness of vibration suppression.
The agreements between the numerical and experimental results are very good in the two application examples. Therefore, the more numerical and experimental efforts described in the present work should be encouraged to apply on other case studies of the interaction between liquids and structures.
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