Shaking table tests of TLD characteristics excited by colored noise are conducted and multi-point wave height signals of TLD are decoupled and then identified to obtain modal parameters of liquid sloshing by different methods. Taking TLD with screens as an example，the effects of the solidity ratio，screen position and relative excitation amplitude on damping performance of TLD are studied in detail，and experimental results are compared with linearized theoretical values. The results show that the shaking table test under colored noise excitation can obtain damping performance parameters of TLD quickly and accurately，and the signal decoupling method and parameter identification methods are highly reliable. The frequency of TLD with screens is not be changed and the damping ratio raises with increase of solidity ratio and relative excitation amplitude. Moreover，screens can increase the damping ratio of higher-order modes of TLD，which aids to suppress the nonlinear response.