Combined with the advantages and disadvantages of tuned liquid damper (TLD) and tuned mass damper (TMD),a double tuned liquid mass damper (TLMD) is proposed by replacing the rigid connection of TLD with the spring structure.The motion equation of a single-degree-of-freedom structure with a TLMD attached at its top is found under harmonic excitation.Comparing the energy consumption and amplitude of primary structure with equal mass ratio TMD,it is found that the energy dissipation performance of TLMD is better in the effective phase region.The interaction process between TLMD and structure is analyzed,and the formula of phase deviation between the relative velocity of tank and the displacement of primary structure is deduced.By analyzing the influence of mass ratio,frequency ratio,damping ratio and water depth ratio on the damping effect,the results show that the frequency ratio and liquid depth ratio have great influence on the size and location of deep resonance peak,and the mass ratio and damping ratio have great influence on the width of the effective frequency band.The formula of equivalent damping ratio is proposed based on the principle of energy and it is found that the equivalent damping ratio is related to the phase deviation and change with the frequency ratio of the external excitation.
