Study on the dynamic characteristic of a U-type tuned liquid damper |
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Authors: | Jong-Shyong Wu Mang Hsieh |
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Institution: | Institute of Naval Architecture and Marine Engineering, National Cheng-Kung University, Tainan, Taiwan 701, Republic of China |
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Abstract: | By means of Lagrange's equation, the “coupled” equations of motion for a horizontal plate carrying a U-type tuned liquid damper (TLD) are derived. The “uncoupled” equations of motion for the liquid (in the TLD) and the structural system are then obtained by decoupling the “coupled” ones. Unlike the existing literature to indirectly determine the natural frequencies of a damped vibrating system by using the resonant method, the “complex” eigenvalues of the coupled damped system are obtained directly from the associated eigenvalue equations. Besides, the pressure intensities in the two air chambers and the sizes of the two vertical tanks together with the horizontal conduit are arbitrary in the formulation of this paper. The influence of some key parameters of the TLD on the dynamic responses of the structural system is studied. |
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Keywords: | Lagrange's equation Tuned liquid damper (TLD) Damped vibrating system Natural frequency Eigenvalue equation |
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