A numerical investigation of energy dissipation with a shallow depth sloshing absorber

Abstract A liquid sloshing absorber consists of a container, partially filled with liquid. The absorber is attached to the structure to be controlled, and relies on the structure’s motion to excite the liquid. Consequently, a sloshing wave is produced at the liquid free surface within the absorber, possessing energy dissipative qualities. The behaviour of liquid sloshing absorbers has been well documented, although their use in structural control applications has attracted considerably less attention. Generally it is accepted that sloshing absorbers with shallow liquid levels are more effective energy dissipaters than those with higher levels, although there has not yet been a study to reveal an ‘optimum’ design mechanism. The main limitation of numerically modelling such circumstances is the inherent complexity in the free surface behaviour, predictions of which are limited when using grid-based modelling techniques. Considering such limitations, Smoothed Particle Hydrodynamics (SPH) is used in this study to model a 2-dimensional rectangular liquid sloshing absorber. SPH is a Lagrangian method of solving the equations of fluid flow that is suitable to model liquid sloshing due to its grid-free nature, and inherent ability to deal with complex free surface behaviour. The primary objective of this paper is to numerically demonstrate the effect of tuning a container’s width, to complement previous work on the effect of liquid depth [B. Guzel, M. Prakash, S.E. Semercigil, O.F. Turan, Energy dissipation with sloshing for absorber design, in: International Mechanical Engineering Congress and Exposition, 2005, IMECE2005-79838]. This study is an attempt to reveal geometry that enables both effective energy transfer to sloshing liquid and to dissipate this energy quickly.

[1]  Shigehiko Kaneko,et al.  Dynamical Modeling of Deepwater-Type Cylindrical Tuned Liquid Damper With a Submerged Net , 2000 .

[2]  Vu Nguyen,et al.  Optimisation of ingot casting wheel design using SPH simulations , 2007 .

[3]  J. Monaghan Simulating Free Surface Flows with SPH , 1994 .

[4]  Guirong Liu,et al.  Smoothed Particle Hydrodynamics: A Meshfree Particle Method , 2003 .

[5]  G. Batchelor,et al.  An Introduction to Fluid Dynamics , 1968 .

[6]  Vinod J. Modi,et al.  AN EFFICIENT LIQUID SLOSHING DAMPER FOR VIBRATION CONTROL , 1998 .

[7]  P. Cleary,et al.  Smooth particle hydrodynamics: status and future potential , 2007 .

[8]  Paul W. Cleary,et al.  3D SPH flow predictions and validation for high pressure die casting of automotive components , 2006 .

[9]  Feng Ying Lin Smoothed particle hydrodynamics , 2005 .

[10]  Adam Patrick Marsh Design of effective traveling wave sloshing absorbers for structural control , 2009 .

[11]  Ozden Turan,et al.  Design of Flexible Containers for Sloshing Control , 2002 .

[12]  Yukio Tamura,et al.  Wind-induced responses of an airport tower : efficiency of tuned liquid damper , 1996 .

[13]  J. Monaghan Smoothed particle hydrodynamics , 2005 .

[14]  Paul W. Cleary,et al.  Simulation of suspension of solids in a liquid in a mixing tank using SPH and comparison with physical modelling experiments , 2007 .

[15]  Pradipta Banerji,et al.  Tuned liquid dampers for controlling earthquake response of structures , 2000 .

[16]  Paul W. Cleary,et al.  Modelling confined multi-material heat and mass flows using SPH , 1998 .

[17]  Ozden Turan,et al.  Energy Dissipation with Sloshing for Absorber Design , 2005 .

[18]  Paul W. Cleary,et al.  Flow modelling in casting processes , 2002 .

[19]  Ozden Turan,et al.  A STANDING-WAVE-TYPE SLOSHING ABSORBER TO CONTROL TRANSIENT OSCILLATIONS , 2000 .

[20]  Vinod J. Modi,et al.  CONTROL OF WIND-INDUCED INSTABILITIES THROUGH APPLICATION OF NUTATION DAMPERS: A BRIEF OVERVIEW , 1995 .

[21]  H. Yeh,et al.  INVESTIGATION OF TUNED LIQUID DAMPERS UNDER LARGE AMPLITUDE EXCITATION , 1998 .

[22]  Hender López,et al.  Oscillation of viscous drops with smoothed particle hydrodynamics. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

[23]  H. Posch,et al.  Liquid drops and surface tension with smoothed particle applied mechanics , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[24]  Odd M. Faltinsen,et al.  Sea loads on ships and offshore structures , 1990 .