Approximate calculation formula for jump frequency of shallow water tuned liquid damper

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Journal of Vibration and Shock ›› 2025, Vol. 44 ›› Issue (5) : 122-130.

VIBRATION AND MECHANICS SCIENCE

Approximate calculation formula for jump frequency of shallow water tuned liquid damper

SHI Shengbo, YUAN Xinyi, SU Yan*

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Abstract

Under the action of horizontal harmonic excitation, the amplitude response curve of the internal fluid free surface motion of the shallow-water tuned liquid damper (TLD) will show a sudden drop at the jump frequency point. In this paper, based on the third-order nonlinear amplitude time domain equation, the approximate calculation formula of jump frequency considering the influence of viscous damping is obtained by ignoring the high-order term through dimensional analysis. In order to verify the validity of the formula, a series of experiments were carried out through a six-degree-of-freedom motion simulator and a shallow-water TLD tank. The calculation results of the proposed formula were compared with the calculation results of the existing formula and the experimental measurement results. It is found that the new formula is more consistent with the experimental measurement results as a whole, which is better than the existing calculation formula. At the same time, the new formula comprehensively considers the influence of water depth, characteristic length, excitation amplitude and viscosity, and has better applicability in the field with greater damping influence.

Key words

shallow-water tuned liquid damper (TLD) / jump frequency / approximate calculation formula

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SHI Shengbo, YUAN Xinyi, SU Yan. Approximate calculation formula for jump frequency of shallow water tuned liquid damper[J]. Journal of Vibration and Shock, 2025, 44(5): 122-130

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