Download - Sloshing Ppt
Sloshing in a square liquid tank subjected to horizontal harmonic excitation is investigated.
In the theoretical analysis, the modal equations of motion for seven sloshing modes are
obtained considering the nonlinearity of sloshing, and then the theoretical response curves
are calculated. The validity of the theoretical analysis was confirmed by comparing the
theoretical response curves with the experimental data.
Experimental Setup
Sloshing Modes
Nonlinear Liquid Sloshing (1)
Experimental and Theoretical Response Curves
(1,0) (0,1)
(2,0) (0,2)
(3,0) (0,3)
(1,1)
Nonlinear sloshing dynamics in a
cylindrical liquid tank subjected
to horizontal harmonic excitation
is investigated. Theoretical
response curves were in good
agreement with the experimental
data.
Nonlinear Liquid Sloshing (2)
R=60 mm, h=72 mm, p11=2.727 Hz,
a cos wt =0.57 cos wt [mm]
② Chaotic Motion
③ Swirl Motion
① Planar Motion
Theoretical Model Experimental and Theoretical Response Curves
①
②
③
③
①
②
Vibration Control of Elastic Structures
Utilizing a Cylindrical Tank
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TLDs
Shin-Yokohama Prince Hotel (149 m tall)
Theoretical Frequency Response Curves
Experimental Apparatus
Mechanism of Suppression
Suppressed
Fluid Force
Fluid Force
Displacement Displacement
The performance of cylindrical tuned
liquid dampers (TLDs) is investigated
to suppress the vibrations of elastic
structures subjected to horizontal
harmonic excitation. Response curves
are analytically calculated by
considering the nonlinear fluid force
due to sloshing. They show the
effectiveness of cylindrical TLDs.
Theoretical Model
Vibration Control of Elastic Structures
Utilizing Two Rectangular Tanks
Experimental Setup
The performance of TLDs is investigated when two
rectangular tanks are used. The liquid elevations
were observed in different amplitudes even if these
tanks are identical. Amplitude modulated motions
(AMMs) appear when the liquid levels are
comparatively high.
Experimental time
histories at f=2.561 Hz. Theoretical Response Curves
Vibration Control of Elastic Structures
Utilizing a Rectangular Tank (Vertical Excitation)
Tuned liquid dampers (TLDs) are also effective to suppressed the vibrations of
elastic structures subjected to vertical excitation. The optimal liquid level exists.
If the tuning condition was deviated, the performance of TLDs decreases
because amplitude modulated motions (AMMs) could appear.
Theoretical Model Response curves for the
optimal liquid level
Response curves where
AMMs appear.
A square tuned liquid damper (TLD) is used to suppress
the vibrations of an elastic structures subjected to
vertical harmonic excitation. Square TLDs work more
effectively for lower liquid levels than rectangular TLDs.
Experimental and theoretical
Response Curves Experimental Setup Experimental time
histories at f=5.540 Hz.
Vibration Control of Elastic Structures
Utilizing a Square Tank (Vertical Excitation)