Theoretical and experimental studies on rectangular liquid dampers under arbitrary excitations

This paper presents a study on the behaviour of rectangular liquid dampers under a horizontal excitation of arbitrary time history. The theoretical model to predict motion of a shallow liquid in a rectangular tank is adapted from a previous researchers' model which was developed for sinusoidal excitations. The model includes an energy dissipation term arising from liquid viscosity. In the present consideration of arbitrary excitations, the energy dissipation term is derived in a straightforward way, without resorting to the equivalent linearization method or assumption of harmonic response as used by earlier researchers. The up‐crossing rate of wave height is used in furnishing the Reynolds number required for the evaluation of shear stress in the boundary layer. Since there was no known precedent study involving arbitrary excitations, experiments have been performed accordingly to verify the model. Generally, the theoretical model furnishes results which are found to be in close agreement with the experimental ones. The results also illustrate the strong dependency of liquid motion upon the natural frequency of the damper, amplitude and frequency content of the excitation spectrum. The model is then applied to study the effectiveness of tuned liquid dampers in vibration control of a single‐degree‐of‐freedom structure subjected to earthquake excitations. Significant suppression of structural vibration can be achieved using tuned liquid dampers.

[1]  C. G. Koh,et al.  Numerical simulation studies of vibration of structures with multiple liquid dampers , 1992 .

[2]  F. Raichlen,et al.  Nonlinear Oscillations in Rectangular Tanks , 1988 .

[3]  Yozo Fujino,et al.  Modelling of tuned liquid damper (TLD) , 1992 .

[4]  F. Welt,et al.  On the suppression of vibrations using nutation dampers , 1990 .

[5]  Kyle T. Alfriend,et al.  Partially Filled Viscous Ring Nutation Damper , 1974 .

[6]  D. V. Reddy,et al.  Frequency tuning of offshore platforms by liquid sloshing , 1982 .

[7]  Masanobu Shinozuka,et al.  Simulation of Nonstationary Random Process , 1967 .

[8]  G. B. Warburton,et al.  Optimum absorber parameters for various combinations of response and excitation parameters , 1982 .

[9]  Limin Sun,et al.  Tuned liquid damper (TLD) for suppressing horizontal motion of structures , 1992 .

[10]  Yozo Fujino,et al.  Parametric studies on tuned liquid damper (TLD) using circular containers by free-oscillation experiments. , 1988 .

[11]  B. Samali,et al.  Control of Along-Wind Response of Structures by Mass and Liquid Dampers , 1992 .

[12]  George W. Housner,et al.  Integrated velocity and displacement of strong earthquake ground motion , 1961 .

[13]  Yukio Tamura,et al.  Wind-induced vibration of tower and practical applications of tuned sloshing damper , 1990 .

[14]  J. Kim Vandiver,et al.  Effect of liquid storage tanks on the dynamic response of offshore platforms , 1979 .

[15]  K. Kwok,et al.  Damping Increase in Building with Tuned Mass Damper , 1984 .

[16]  Leslie Robert Koval,et al.  A viscous ring damper for a freely precessing satellite , 1966 .

[17]  Ivar G. Jonsson,et al.  WAVE BOUNDARY LAYERS AMD FRICTION FACTORS , 1966 .

[18]  Yozo Fujino,et al.  Interaction of tuned liquid damper (TLD) and structure. Theory, experimental verification and application , 1989 .

[19]  H. Saunders,et al.  Book Reviews : DYNAMICS OF STRUCTURES R.W. Clough & J. Penzien McGraw-Hill Book Co., New York, New York (1975) , 1976 .

[20]  Goodarz Ahmadi,et al.  Response of base‐isolated buildings to random excitations described by the Clough‐Penzien spectral model , 1989 .

[21]  B. Lemehaute.  An introduction to hydrodynamics and water waves , 1976 .

[22]  Shinji Hayama,et al.  Nonlinear Responsed of Sloshing Based on the Shallow Water Wave Theory : Vibration, Control Engineering, Engineering for Industry , 1987 .