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International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 05 Issue: 10 | Oct 2018 www.irjet.net p-ISSN: 2395-0072
© 2018, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 755
Study of Combined Action of Coupled Tuned Liquid and Mass Damper
on Earthquake Response of Buildings
Nikhil V Jacob1, Minsu Mariyam Varkey2, Jesmi Michael3, Nithin M Reji4, Er. Vivek Philip5
Er. Ancy Mathew6
1,2,3,4B.Tech Civil Engineering Student, Dept of Civil Engineering, Saintgits College of Engineering , Kottayam,
Kerala, India
5,6Assistant Professor, Dept of Civil Engineering, Saintgits College of Engineering, Kottayam, Kerala, India.
-------------------------------------------------------------------------***------------------------------------------------------------------------
Abstract - The need to build flexible and slender buildings
that have relatively low damping properties has attracted
engineers attention to look for efficient and economical
techniques to control the vibration response of structures.
Recently dampers have become more popular for vibration
control of structures, because of their safe, effective and
economical design. Combination of Tuned Liquid Damperand
Tuned Mass damper, as a unit, is a passive damping device
that consists of movable tanks filled withliquidtosuppressthe
horizontal vibration of structures. The tankisdesignedsothat
the liquid surface wave has frequency tuned to the
fundamental frequency of the building. The structurewasfirst
modelled and then its fundamental natural frequency was
found out by carrying out free vibration analysis. This unit is
then modelled into the structure and changes in natural
frequencies were monitored. Thestructurewassubjectedtoan
earthquake loading and its frequency responsewascompared
without this unit and with it. Based on theoptimummassratio
obtained, number of TLD tanks, its dimensions and required
water depth for the structure to control vibrations was
proposed. Increasing the mass ratio of the damper can
improve the damping effects; under the condition of tuning
frequency, the damping effects are remarkable. However, the
more the deviation from the tuned frequency, the less
controlling effects can be obtained.
Keywords: Tuned Liquid Dampers; Eigen Value Analysis;
Response Spectrum Analysis; Fluid Structure Interaction
1. INTRODUCTION
Earthquake is one of the major natural disasters whichoccur
due to the shaking of the ground caused by movement of the
tectonic plates relative to eachother.Alarge populationlives
in regions of seismic hazards, at risk from earthquakes of
varying severity and frequency of occurrence. Geographical
data of India shows that almost 54% of the land is
susceptible to earthquakes. This natural calamity can take
millions of life and can cause significant damage to
structures. Hence the concept ofearthquakeresistantdesign
of structures has been largely discussed over the past few
decades. Several seismic construction designs and
technologies have been developed over the years in efforts
to reduce the effect of earthquakes on structures. Tuned
mass damper and tuned liquid damper are relatively new
and growing technology of this kind.
In this research we study the combined action of tuned
liquid and mass damper. In the present scenario it is very
important to have high rise building due to increase in
population. The past experience in earthquake shows that
the building without damper is more prone to earthquake.
This can be reduced by the installation of damper unit in the
structure.
1.1 NEED FOR PRESENT STUDY
The following observations were made from literature
survey:
i. Several studies have focused on evaluating the
response of high rise building with and without
dampers. However there is a lack of understanding
of the seismic response of structures withcombined
dampers. Therefore evaluation of the effect of
buildings is greatly needed.
ii. Most of the research studies were conducted for
tank which requireslargerlengthforsloshingaction.
So study forreducingthislengthwithoutaffectingits
damping action is necessary
1.2 OBJECTIVES
The prime requirements of earthquake resistant multi-
storied structural buildings are to have safety and minimum
damage level to the structure. In order to meet these
requirements, the structure should have adequate lateral
strength, stiffness and ductility. The main objectives of the
current work are as follows:
 To experimentally investigate the effectiveness of
combined TLD-TMD damping action by free
vibration analysis of simple building model.
 To evaluate the effectiveness of damper on a multi-
storied building equipped with TLD-TMD unit.
2. EXPERIMENTAL STUDIES
A series of experiments were conducted to study the
dynamic behaviour of a structure when subjected to free
vibration with TLD-TMD unit placed by connecting
accelerometers. Vibration is the movement or mechanical
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 05 Issue: 10 | Oct 2018 www.irjet.net p-ISSN: 2395-0072
© 2018, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 756
oscillation about an equilibrium position of a machine or
component. An object can vibrate intwoways:freevibration
and forced vibration.
Free vibration occurs when an object or structure is
displaced or impacted and then allowed to oscillate
naturally. For example, when youstrikea tuningfork,itrings
and eventually dies down. Natural frequency often refers to
the frequency at which a structure “wants” to oscillate after
an impact or displacement. Resonance is the tendency for a
system to oscillate more violently at some frequencies than
others. Forced vibration at or near an object’s natural
frequency causes energy inside the structure to build. Over
time the vibration can become quite large even though the
input forced vibration is very small. Ifa structurehasnatural
frequencies that match normal environmental vibration,
then the structure vibrates more violently and prematurely
fails.
The study of the structure with TLD-TMD unit will provide
an understanding of the behaviour of the damper on
structure system. Experimental Free Vibration of building
model with and without damper unit is conducted by
connecting accelerometer and time-acceleration plot was
obtained using LabVIEW Interface. Natural frequency of the
structure was then determined by the Fast Fourier
Transform of time acceleration plot.
2.1EXPERIMENTAL SETUP
Accelerometer
 Data acquisition system (DAQ)
 LabVIEW virtual software
 Test structure(threestoriedframedbuildingmodel)
 TLD-TMD Unit
2.2 TEST STRUCTURE (THREE STORIED FRAMED
BUILDING MODEL)
The test structure consists of a three storied framed
building model with mass at floors made of polycarbide
sheet and wood and the columns separating eachfloormade
of mild steel. The properties of the building model are
summarised as follows:
 Height of each floor: 0.5m
 Plan dimension of each storey block: 0.5x0.5 m
 Floor thickness: 0.13 m
 Floor weight: 2.3kg
 Width of steel section: 4 mm
 Depth of steel section: 12 mm
 Grade of steel: Rebar HYSD 500
(a) (b)
Fig -1: Experimental Setup
The figure1 (a) shows the building model without damper
unit and the figure1 (b) shows the building model with
damper unit. Accelerometer is attached to the structure at
the top floor. The building is then subjected to free vibration
analysis and the signals were acquired through DAQ and
inputted. The acceleration FFT peak was generated in
LabVIEW.
Table -1: Experimental Natural Frequencies
Experiment Setup Natural Frequency
Without damper 3.25Hz.
With damper 1.65Hz
Fig - 2 : LabVIEW Results Without Damper
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 05 Issue: 10 | Oct 2018 www.irjet.net p-ISSN: 2395-0072
© 2018, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 757
Fig - 3: LabVIEW Results with Damper
3. SOFTWARE STUDY AND PROBLEM VALIDATION
The present work is a dynamic analysis of three-storied
building. This can be studied by modelling and analysingthe
same using software. This chapter containsbriefdescription
of the software SAP2000 which is used for analysing the
structure. A detailed study about the software is carried out
validating the problem.
3.1 VALIDATION OF ANALYTICAL MODEL USING
SAP2000
Validation is accomplished for SAP2000 is done by
comparing the results of the created structural model with
the experimental model. An experimental model isprepared
with the same dimensions for the above.
Fig - 4 : Damper Modelled Using SAP2000
Fig - 4 : Three-Storied Building without damper modeled
in SAP2000
Fig - 5 : Three-Storied Building with damper modeled in
SAP2000
Table -2: Numerical Model Analysis Results
Numerical Model Setup Similar Mode Shape Frequency
Model without damper 2.70085 Hz
Model with damper 1.5665 Hz
3.2 SOFTWARE STUDY CONCLUSION
The natural frequency and mode shape of the structure in
experimental investigation are found to be matching with
the results obtained from the software SAP2000. Hence
further analysis can be carried out to prepare finite element
model of different building configuration in SAP 2000 to
evaluate earthquakeperformanceofTMD TLDConfiguration
by modal analysis and time history analysis using Time-
Acceleration plots of any known earthquake.
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 05 Issue: 10 | Oct 2018 www.irjet.net p-ISSN: 2395-0072
© 2018, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 758
4. NUMERICAL MODELLING
The building was modelled with the helpofthesoftware SAP
2000. Geometry of the building was first defined. The beam
diagram was then drawn in the XYplaneandthebeamswere
replicated to form 30 storied structure.Columndiagramwas
also drawn in the YZ plane and was replicated about the x-
axis. The beams and columns are modelled using two
nodded line element with six degrees of freedom at each
node. The slab is modelled using shell element. The building
is modeled as base frame withoutconsideringthestiffnessof
infill wall. After that materials were defined. The properties
defined are as follows:
Grade of concrete: M30
Grade of steel: Rebar’s HYSD 500
Density of concrete = 24.9926 KN/m3
Modulus of elasticity of concrete = 2.73x107 KN/m2
Poisson’s ratio of concrete = 0.2
Density of steel = 76.9729 KN/m3
Modulus of elasticity of steel = 2x108 KN/m2
Beams and columns were created and the dimensions of
beams and columns were given as specified.
Beams 300 x 500 mm
Columns (Stories 1 -10): 350 x 800 mm
Columns (Stories 10- 20): 300 x 700 mm
Columns (Stories 20- 30): 300 x 600 mm
Slabs Flooring: 150 mm
Fig 6.1 shows a model of the building in SAP 2000 software.
Modal analysis was then carriedouttodeterminethenatural
frequency of the building.
Fig – 6: 30 storied building modeled in SAP2000
4.1 MODAL ANALYSIS
Once the structure was modeled in SAP 2000, Normal Mode
Analysis was carried out. The usual first stepinperforminga
dynamic analysis is determining the natural frequencies of
the structure with damping neglected. These results
characterize the basic dynamic behaviorofthestructureand
are an indication of how the structure will respond to
dynamic loading.
As per IS 1893:2002, the structural damping ratio of any
building can be taken as 5%. Hence the building when
considered as a SDOF system has a natural frequency equal
to 0.271 Hz and damping ratio equal to 5%. With the below
values obtained, damper can be designed.
Modal mass for the first mode = 148881.1 KN
Damping constant = 0.05
Natural frequency = 0.27 Hz
Fig – 7: 30 Storied Building Analyzed In SAP2000
4.2 MODELLING OF DAMPER
Damper unit was modeled in SAP 2000. The properties
defined are as follows. Values for Fluid-StructureInteraction
were obtained by using IS 1893: Criteria for Earthquake
Resistant Design of StructuresPart2LiquidRetaining Tanks.
Walls of Tank (Concrete) = 150 mm
Walls of Tank (Steel) = 6 mm
Inner Tank Dimensions = 5 m x 2 m x 3m
Outer Tank Dimensions = 5.5m x 2.25 m x 3.1 m
Mass ratio Calculation:
By conducting static dead load analysis,
Weight of building = 150384.955 KN
Weight of one tank = 564.9787 KN
Weight of 12 tank combined = 6779.7444 KN
Mass Ratio = (150384.955/6779.7444)x100
= 4.508259752%
Approximately 4.5 % mass ratio
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 05 Issue: 10 | Oct 2018 www.irjet.net p-ISSN: 2395-0072
© 2018, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 759
Water tank was modeled as an external file in sap2000. The
interaction planes and the grid points were defined in the
respective points.Nodes wereprovidedatrespectiveheights
and water tank was connected to springs and masses.
Fig –8 : Water Tank Modeled In Sap2000
4.3 FLUID STRUCTURE INTERACTION
A satisfactory spring mass analogue to characterize basic
dynamics for two mass model ofelevatedtank wasproposed
by Housner (1963) after the chileane earthquake of 1960,
which is more appropriate and is being commonly used in
most of the international codes including GSDMA guideline.
During lateral mode of shaking of the water tank, a upper
part of the water moves in a long period sloshing motion,
while the rest part moves rigidly with the tank wall. The
former one is recognized as convective mass of water which
exerts convective hydrodynamic pressure on tank wall and
base, while the latter part is known as impulsive mass of
water which accelerates along with the wall and induces
impulsive hydrodynamic pressure on tank wall. The
impulsive mass of water experiences the same acceleration
as the tank container and contributes predominantly to the
base shear and overturning moment. In spring mass model
convective mass (mc) is attached to the tank wall by the
spring having stiffness (Kc), whereas impulsive mass (mi) is
rigidly attached to tank wall.
Fig: 9 Analytical Model Of Water Tank
The analytical model of the water tank is based on the
following parameters:
Table -3 : FSI Parameters
mi/m 0.6196
h/L 0.6
hi/h 0.375
L/h 1.66
hi*/h 0.45
mc/m 0.4205
hc/h 0.61029
hc*/h 0.7739
Kc 735.128
The simplest method of these is the added mass approach
can be investigated using some of conventional FEM
software such as SAP2000, STAAD Pro and LUSAS.
The damper was already defined by providing respective
nodes. Then the water tank was connected to the building
with the bottom nodes. All the nodes in the internal tank
were released in the direction of excitation.
Modal analysis of the building with the damper was then
done by using Eigen Value Analysis to determine the natural
frequency of the structure. Analysis was carried out under
various stiffness ranging from 500-4500KNm. Theoptimum
natural frequency of the structure along with damper was
obtained. The stiffness configuration giving the optimum
natural frequency was considered for further analysis.
Fig: 10 Building with damper modelled in
SAP2000
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 05 Issue: 10 | Oct 2018 www.irjet.net p-ISSN: 2395-0072
© 2018, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 760
Table -4 : Natural frequencies at various stiffness
Stiffness Frequency
1000 0.29435
1250 0.29564
1500 0.29635
1750 0.29764
2000 0.29814
2250 0.29925
2500 0.29898
2750 0.299
3000 0.29908
3250 0.29939
3500 0.29993
3750 0.29941
4000 0.29942
4250 0.29922
Chart -1: Natural Frequency Vs Stiffness Curve
Fig: 11 Building With Damper Analysed In SAP2000
4.4 TIME HISTORY ANALYSIS OF BUILDING WITH
DAMPER
Time history data of El Centroearthquakehasbeeninputted.
Analysis was done using the mode shapes obtained fromthe
modal analysis. Building response was plotted for relative
displacement of the structure and the response spectrum.
Chart -2: Response Curve at all Stiffness
Chart -3: Response Curve at Stiffness 3500KN/m
Chart -4: Displacement Curve At All Stiffness
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 05 Issue: 10 | Oct 2018 www.irjet.net p-ISSN: 2395-0072
© 2018, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 761
Chart -5: Displacement Curve at Stiffness 3500KN/m
5. RESULTS AND DISCUSSION
After carrying out the normal mode analysis of the structure
with TMD- TLD tanks, it was found that the structural
frequency increase with increasing stiffness, making it less
vulnerable to exciting forces. The optimum natural
frequency was obtained at a stiffness of 3500KNm.
The natural frequency of the structure without damper unit
= 0.2713Hz.
The natural frequency of the structure with damper unit =
0.29908Hz.
It was found out that responsecanbeadjusted bycontrolling
the frequency and the stiffness. The displacement and
response graphs obtained from the time history analysis
shows the effectiveness of damper unit in earthquake
response. There is considerable reduction in the
displacement of the structure after placing the damper unit
in the building and there is an increase in the responseof the
structure after placing the damper unit.
6. CONCLUSIONS
The effectiveness of TLD-TMD unit as a damper in
controlling the structural vibrations was investigated
experimentally and then analytically using Sap 2000 and
effective results were obtained.
The following conclusions were made from the study:
 After conducting experimental investigationsitwas
concluded that the damper was experimentally
viable to adjust the frequency.
 In validation the experimental model wasconverted
to finite element model which is found to be
effective.
 A finite element procedurewasdevelopedtodenote
actual TLD-TMD damper.
 The newly suggested damper was effective in
controlling response.
 Apart from other stiffness of the structure this can
be adjusted to get maximum response.
 The building response was reduced. So it is a
promising device.
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International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 05 Issue: 10 | Oct 2018 www.irjet.net p-ISSN: 2395-0072
© 2018, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 762
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IRJET- Study of Combined Action of Coupled Tuned Liquid and Mass Damper on Earthquake Response of Buildings

  • 1. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 05 Issue: 10 | Oct 2018 www.irjet.net p-ISSN: 2395-0072 © 2018, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 755 Study of Combined Action of Coupled Tuned Liquid and Mass Damper on Earthquake Response of Buildings Nikhil V Jacob1, Minsu Mariyam Varkey2, Jesmi Michael3, Nithin M Reji4, Er. Vivek Philip5 Er. Ancy Mathew6 1,2,3,4B.Tech Civil Engineering Student, Dept of Civil Engineering, Saintgits College of Engineering , Kottayam, Kerala, India 5,6Assistant Professor, Dept of Civil Engineering, Saintgits College of Engineering, Kottayam, Kerala, India. -------------------------------------------------------------------------***------------------------------------------------------------------------ Abstract - The need to build flexible and slender buildings that have relatively low damping properties has attracted engineers attention to look for efficient and economical techniques to control the vibration response of structures. Recently dampers have become more popular for vibration control of structures, because of their safe, effective and economical design. Combination of Tuned Liquid Damperand Tuned Mass damper, as a unit, is a passive damping device that consists of movable tanks filled withliquidtosuppressthe horizontal vibration of structures. The tankisdesignedsothat the liquid surface wave has frequency tuned to the fundamental frequency of the building. The structurewasfirst modelled and then its fundamental natural frequency was found out by carrying out free vibration analysis. This unit is then modelled into the structure and changes in natural frequencies were monitored. Thestructurewassubjectedtoan earthquake loading and its frequency responsewascompared without this unit and with it. Based on theoptimummassratio obtained, number of TLD tanks, its dimensions and required water depth for the structure to control vibrations was proposed. Increasing the mass ratio of the damper can improve the damping effects; under the condition of tuning frequency, the damping effects are remarkable. However, the more the deviation from the tuned frequency, the less controlling effects can be obtained. Keywords: Tuned Liquid Dampers; Eigen Value Analysis; Response Spectrum Analysis; Fluid Structure Interaction 1. INTRODUCTION Earthquake is one of the major natural disasters whichoccur due to the shaking of the ground caused by movement of the tectonic plates relative to eachother.Alarge populationlives in regions of seismic hazards, at risk from earthquakes of varying severity and frequency of occurrence. Geographical data of India shows that almost 54% of the land is susceptible to earthquakes. This natural calamity can take millions of life and can cause significant damage to structures. Hence the concept ofearthquakeresistantdesign of structures has been largely discussed over the past few decades. Several seismic construction designs and technologies have been developed over the years in efforts to reduce the effect of earthquakes on structures. Tuned mass damper and tuned liquid damper are relatively new and growing technology of this kind. In this research we study the combined action of tuned liquid and mass damper. In the present scenario it is very important to have high rise building due to increase in population. The past experience in earthquake shows that the building without damper is more prone to earthquake. This can be reduced by the installation of damper unit in the structure. 1.1 NEED FOR PRESENT STUDY The following observations were made from literature survey: i. Several studies have focused on evaluating the response of high rise building with and without dampers. However there is a lack of understanding of the seismic response of structures withcombined dampers. Therefore evaluation of the effect of buildings is greatly needed. ii. Most of the research studies were conducted for tank which requireslargerlengthforsloshingaction. So study forreducingthislengthwithoutaffectingits damping action is necessary 1.2 OBJECTIVES The prime requirements of earthquake resistant multi- storied structural buildings are to have safety and minimum damage level to the structure. In order to meet these requirements, the structure should have adequate lateral strength, stiffness and ductility. The main objectives of the current work are as follows:  To experimentally investigate the effectiveness of combined TLD-TMD damping action by free vibration analysis of simple building model.  To evaluate the effectiveness of damper on a multi- storied building equipped with TLD-TMD unit. 2. EXPERIMENTAL STUDIES A series of experiments were conducted to study the dynamic behaviour of a structure when subjected to free vibration with TLD-TMD unit placed by connecting accelerometers. Vibration is the movement or mechanical
  • 2. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 05 Issue: 10 | Oct 2018 www.irjet.net p-ISSN: 2395-0072 © 2018, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 756 oscillation about an equilibrium position of a machine or component. An object can vibrate intwoways:freevibration and forced vibration. Free vibration occurs when an object or structure is displaced or impacted and then allowed to oscillate naturally. For example, when youstrikea tuningfork,itrings and eventually dies down. Natural frequency often refers to the frequency at which a structure “wants” to oscillate after an impact or displacement. Resonance is the tendency for a system to oscillate more violently at some frequencies than others. Forced vibration at or near an object’s natural frequency causes energy inside the structure to build. Over time the vibration can become quite large even though the input forced vibration is very small. Ifa structurehasnatural frequencies that match normal environmental vibration, then the structure vibrates more violently and prematurely fails. The study of the structure with TLD-TMD unit will provide an understanding of the behaviour of the damper on structure system. Experimental Free Vibration of building model with and without damper unit is conducted by connecting accelerometer and time-acceleration plot was obtained using LabVIEW Interface. Natural frequency of the structure was then determined by the Fast Fourier Transform of time acceleration plot. 2.1EXPERIMENTAL SETUP Accelerometer  Data acquisition system (DAQ)  LabVIEW virtual software  Test structure(threestoriedframedbuildingmodel)  TLD-TMD Unit 2.2 TEST STRUCTURE (THREE STORIED FRAMED BUILDING MODEL) The test structure consists of a three storied framed building model with mass at floors made of polycarbide sheet and wood and the columns separating eachfloormade of mild steel. The properties of the building model are summarised as follows:  Height of each floor: 0.5m  Plan dimension of each storey block: 0.5x0.5 m  Floor thickness: 0.13 m  Floor weight: 2.3kg  Width of steel section: 4 mm  Depth of steel section: 12 mm  Grade of steel: Rebar HYSD 500 (a) (b) Fig -1: Experimental Setup The figure1 (a) shows the building model without damper unit and the figure1 (b) shows the building model with damper unit. Accelerometer is attached to the structure at the top floor. The building is then subjected to free vibration analysis and the signals were acquired through DAQ and inputted. The acceleration FFT peak was generated in LabVIEW. Table -1: Experimental Natural Frequencies Experiment Setup Natural Frequency Without damper 3.25Hz. With damper 1.65Hz Fig - 2 : LabVIEW Results Without Damper
  • 3. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 05 Issue: 10 | Oct 2018 www.irjet.net p-ISSN: 2395-0072 © 2018, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 757 Fig - 3: LabVIEW Results with Damper 3. SOFTWARE STUDY AND PROBLEM VALIDATION The present work is a dynamic analysis of three-storied building. This can be studied by modelling and analysingthe same using software. This chapter containsbriefdescription of the software SAP2000 which is used for analysing the structure. A detailed study about the software is carried out validating the problem. 3.1 VALIDATION OF ANALYTICAL MODEL USING SAP2000 Validation is accomplished for SAP2000 is done by comparing the results of the created structural model with the experimental model. An experimental model isprepared with the same dimensions for the above. Fig - 4 : Damper Modelled Using SAP2000 Fig - 4 : Three-Storied Building without damper modeled in SAP2000 Fig - 5 : Three-Storied Building with damper modeled in SAP2000 Table -2: Numerical Model Analysis Results Numerical Model Setup Similar Mode Shape Frequency Model without damper 2.70085 Hz Model with damper 1.5665 Hz 3.2 SOFTWARE STUDY CONCLUSION The natural frequency and mode shape of the structure in experimental investigation are found to be matching with the results obtained from the software SAP2000. Hence further analysis can be carried out to prepare finite element model of different building configuration in SAP 2000 to evaluate earthquakeperformanceofTMD TLDConfiguration by modal analysis and time history analysis using Time- Acceleration plots of any known earthquake.
  • 4. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 05 Issue: 10 | Oct 2018 www.irjet.net p-ISSN: 2395-0072 © 2018, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 758 4. NUMERICAL MODELLING The building was modelled with the helpofthesoftware SAP 2000. Geometry of the building was first defined. The beam diagram was then drawn in the XYplaneandthebeamswere replicated to form 30 storied structure.Columndiagramwas also drawn in the YZ plane and was replicated about the x- axis. The beams and columns are modelled using two nodded line element with six degrees of freedom at each node. The slab is modelled using shell element. The building is modeled as base frame withoutconsideringthestiffnessof infill wall. After that materials were defined. The properties defined are as follows: Grade of concrete: M30 Grade of steel: Rebar’s HYSD 500 Density of concrete = 24.9926 KN/m3 Modulus of elasticity of concrete = 2.73x107 KN/m2 Poisson’s ratio of concrete = 0.2 Density of steel = 76.9729 KN/m3 Modulus of elasticity of steel = 2x108 KN/m2 Beams and columns were created and the dimensions of beams and columns were given as specified. Beams 300 x 500 mm Columns (Stories 1 -10): 350 x 800 mm Columns (Stories 10- 20): 300 x 700 mm Columns (Stories 20- 30): 300 x 600 mm Slabs Flooring: 150 mm Fig 6.1 shows a model of the building in SAP 2000 software. Modal analysis was then carriedouttodeterminethenatural frequency of the building. Fig – 6: 30 storied building modeled in SAP2000 4.1 MODAL ANALYSIS Once the structure was modeled in SAP 2000, Normal Mode Analysis was carried out. The usual first stepinperforminga dynamic analysis is determining the natural frequencies of the structure with damping neglected. These results characterize the basic dynamic behaviorofthestructureand are an indication of how the structure will respond to dynamic loading. As per IS 1893:2002, the structural damping ratio of any building can be taken as 5%. Hence the building when considered as a SDOF system has a natural frequency equal to 0.271 Hz and damping ratio equal to 5%. With the below values obtained, damper can be designed. Modal mass for the first mode = 148881.1 KN Damping constant = 0.05 Natural frequency = 0.27 Hz Fig – 7: 30 Storied Building Analyzed In SAP2000 4.2 MODELLING OF DAMPER Damper unit was modeled in SAP 2000. The properties defined are as follows. Values for Fluid-StructureInteraction were obtained by using IS 1893: Criteria for Earthquake Resistant Design of StructuresPart2LiquidRetaining Tanks. Walls of Tank (Concrete) = 150 mm Walls of Tank (Steel) = 6 mm Inner Tank Dimensions = 5 m x 2 m x 3m Outer Tank Dimensions = 5.5m x 2.25 m x 3.1 m Mass ratio Calculation: By conducting static dead load analysis, Weight of building = 150384.955 KN Weight of one tank = 564.9787 KN Weight of 12 tank combined = 6779.7444 KN Mass Ratio = (150384.955/6779.7444)x100 = 4.508259752% Approximately 4.5 % mass ratio
  • 5. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 05 Issue: 10 | Oct 2018 www.irjet.net p-ISSN: 2395-0072 © 2018, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 759 Water tank was modeled as an external file in sap2000. The interaction planes and the grid points were defined in the respective points.Nodes wereprovidedatrespectiveheights and water tank was connected to springs and masses. Fig –8 : Water Tank Modeled In Sap2000 4.3 FLUID STRUCTURE INTERACTION A satisfactory spring mass analogue to characterize basic dynamics for two mass model ofelevatedtank wasproposed by Housner (1963) after the chileane earthquake of 1960, which is more appropriate and is being commonly used in most of the international codes including GSDMA guideline. During lateral mode of shaking of the water tank, a upper part of the water moves in a long period sloshing motion, while the rest part moves rigidly with the tank wall. The former one is recognized as convective mass of water which exerts convective hydrodynamic pressure on tank wall and base, while the latter part is known as impulsive mass of water which accelerates along with the wall and induces impulsive hydrodynamic pressure on tank wall. The impulsive mass of water experiences the same acceleration as the tank container and contributes predominantly to the base shear and overturning moment. In spring mass model convective mass (mc) is attached to the tank wall by the spring having stiffness (Kc), whereas impulsive mass (mi) is rigidly attached to tank wall. Fig: 9 Analytical Model Of Water Tank The analytical model of the water tank is based on the following parameters: Table -3 : FSI Parameters mi/m 0.6196 h/L 0.6 hi/h 0.375 L/h 1.66 hi*/h 0.45 mc/m 0.4205 hc/h 0.61029 hc*/h 0.7739 Kc 735.128 The simplest method of these is the added mass approach can be investigated using some of conventional FEM software such as SAP2000, STAAD Pro and LUSAS. The damper was already defined by providing respective nodes. Then the water tank was connected to the building with the bottom nodes. All the nodes in the internal tank were released in the direction of excitation. Modal analysis of the building with the damper was then done by using Eigen Value Analysis to determine the natural frequency of the structure. Analysis was carried out under various stiffness ranging from 500-4500KNm. Theoptimum natural frequency of the structure along with damper was obtained. The stiffness configuration giving the optimum natural frequency was considered for further analysis. Fig: 10 Building with damper modelled in SAP2000
  • 6. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 05 Issue: 10 | Oct 2018 www.irjet.net p-ISSN: 2395-0072 © 2018, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 760 Table -4 : Natural frequencies at various stiffness Stiffness Frequency 1000 0.29435 1250 0.29564 1500 0.29635 1750 0.29764 2000 0.29814 2250 0.29925 2500 0.29898 2750 0.299 3000 0.29908 3250 0.29939 3500 0.29993 3750 0.29941 4000 0.29942 4250 0.29922 Chart -1: Natural Frequency Vs Stiffness Curve Fig: 11 Building With Damper Analysed In SAP2000 4.4 TIME HISTORY ANALYSIS OF BUILDING WITH DAMPER Time history data of El Centroearthquakehasbeeninputted. Analysis was done using the mode shapes obtained fromthe modal analysis. Building response was plotted for relative displacement of the structure and the response spectrum. Chart -2: Response Curve at all Stiffness Chart -3: Response Curve at Stiffness 3500KN/m Chart -4: Displacement Curve At All Stiffness
  • 7. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 05 Issue: 10 | Oct 2018 www.irjet.net p-ISSN: 2395-0072 © 2018, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 761 Chart -5: Displacement Curve at Stiffness 3500KN/m 5. RESULTS AND DISCUSSION After carrying out the normal mode analysis of the structure with TMD- TLD tanks, it was found that the structural frequency increase with increasing stiffness, making it less vulnerable to exciting forces. The optimum natural frequency was obtained at a stiffness of 3500KNm. The natural frequency of the structure without damper unit = 0.2713Hz. The natural frequency of the structure with damper unit = 0.29908Hz. It was found out that responsecanbeadjusted bycontrolling the frequency and the stiffness. The displacement and response graphs obtained from the time history analysis shows the effectiveness of damper unit in earthquake response. There is considerable reduction in the displacement of the structure after placing the damper unit in the building and there is an increase in the responseof the structure after placing the damper unit. 6. CONCLUSIONS The effectiveness of TLD-TMD unit as a damper in controlling the structural vibrations was investigated experimentally and then analytically using Sap 2000 and effective results were obtained. The following conclusions were made from the study:  After conducting experimental investigationsitwas concluded that the damper was experimentally viable to adjust the frequency.  In validation the experimental model wasconverted to finite element model which is found to be effective.  A finite element procedurewasdevelopedtodenote actual TLD-TMD damper.  The newly suggested damper was effective in controlling response.  Apart from other stiffness of the structure this can be adjusted to get maximum response.  The building response was reduced. So it is a promising device. REFERENCES [1] Chidige Anil Kumar , E Arunakanthi, “ASeismicStudyon Effect of Water Tank Modelled as TMD” International Journal of Innovative Research in Science, Engineering and Technology, Vol. 6, Issue 2, February 2017. [2] Midhun Krishnan R , Dr. C K Prasad Varma Thampan, "A Study on Vibration Control of Framed Structures Due to Seismic Excitation Using Tuned Mass Damper” International Journal of Scientific & Engineering Research, Volume 7, Issue 10, October-2016. [3] Namrata Yannawar, G.R.Patil, “Response Behaviour of a Three Storied Framed Structure with Tuned Liquid Damper” International Journal ofInnovativeResearchin Science, Engineering and Technology Vol. 3, Issue7,July 2014. [4] Namrata Yannawar, “ Analysis of Lateral Loads for a Framed Model with Tuned LiquidDamper”IOSRJournal of Mechanical and Civil Engineering January 2005. [5] Muhammed Murad.K Lavanya.G, “Dynamicresistanceof tall buildings by using tuned mass damper’s ( TMD’S )” International Journal of Scientific & Engineering Research, Volume 7, Issue 10, August-2016. [6] Riju Kuriakose , Lakshmi P, “Effectiveness of Tuned Liquid Dampers on High Rise Buildings in Kerala” International Journal of Engineering Research & Technology Vol. 5 Issue 09, September-2016. [7] Bauer H.F., “Oscillations of immiscible liquids in a rectangular container: A new damper for excited structures.” Journal of Sound and Vibration, Volume 93, Issue 1, 8 March 1984 [8] Modi V.J., and Welt F., “Damping of wind induced oscillations through liquid sloshing.” Journal of Wind Engineering and Industrial Aerodynamics, Volume 30, Issues 1–3, August 1988. [9] Banerji P., Murudi M, Shah A.H. & Popplewell N., “Tuned liquid dampers for controlling earthquake response of structures”, Earthquake Engng Struct. Dyn, volume 29, issue 5, 2000. [10] Roshni. V. Kartha*, Ritzy. R, “Tuned Liquid Damper to Control Earthquake Response in a Multi-Storied Building Frame”Int.Journal ofEngineeringResearchand Applications ISSN: 2248-9622, Vol. 5, Issue 8, (Part - 4) August 2015, pp.49-56. [11] G. Hemalatha And K.P. Jaya,“WaterTank AsPassiveTmd For Seismically ExcitedStructures”Asian Journal OfCivil Engineering (Building And Housing) Vol. 9,No.4(2008) Pages 349-366. [12] Ashasi-Sorkhabi, A., Kristie, J., and Mercan, O., “Investigations of the use of multiple tuned liquid dampers in vibration control.” Proc., Structures Congress, ASCE, Reston, VA, (2014), pp.1185–1196
  • 8. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 05 Issue: 10 | Oct 2018 www.irjet.net p-ISSN: 2395-0072 © 2018, IRJET | Impact Factor value: 7.211 | ISO 9001:2008 Certified Journal | Page 762 [13] Banerji P., Murudi M, Shah A.H. & Popplewell N., “Tuned liquid dampers for controlling earthquake response of structures”, Earthquake Engineering Structural Dynamics, 29 (2000), pp. 587-602 [14] Fujii K., Tamura Y., Sato T., Wakahara T., “Wind-induced vibration of tower and practical applications of Tuned Sloshing Damper.” Journal of Wind Engineering and Industrial Aerodynamics, 33, (1990), pp. 263-272. [15] Fujino, Y., and Sun, L. M., “Vibration control by multiple tuned liquid dampers (MTLDs).” J. Struct. Eng., 10.1061/(ASCE)0733 -9445(1993)119:12(3482), (1993), pp. 3482–3502 [16] Igusa, T., and Xu, K., “Vibration control using multiple tuned mass dampers.” J. Sound Vib., 175(4), (1994), pp. 491–503. [17] IS 456 - 2000, IS 875 - Part I, II, III, IS 1893 Part I – 2002 [18] Kaneko S. and Ishikawa M, “Modelling of Tuned Liquid Damper with submerged nets”, Journal of Pressure Vessel Technology, Vol. 121 (3), (1999), pp. 334-342. [19] Kim Young-Moon, You Ki-Pyo, Cho Ji-Eun, and Hong Dong-Pyo, “The Vibration Performance Experiment of Tuned Liquid Damper and Tuned Liquid Column [20] Damper.” Journal ofMechanical ScienceandTechnology, Vol. 20, No. 6, (2006), pp. 795-805. [21] Koh C.G., Mahatma S., and Wang C.M., “Reduction of structural vibrations by multiple-modeliquiddampers,” Engineering Structures, Vol. 17, No. 2, (1995), pp. 122- 128 [22] Love J. S. and Tait M. J., “Multiple Tuned Liquid Dampers for Efficient and Robust Structural Control”, Journal of Structural Engineering, 10.1061/(ASCE)ST. 1943- 541X.0001290, (2015), pp. 04015045-1 - 04015045-6 [23] Modi V.J, Seto M.L, “Suppression of flow-induced oscillations using sloshing liquid dampers: analysis and experiments”, Journal of Wind Engineering and Industrial Aerodynamics 67&68, (1997), pp. 611-625. [24] Sun L.M., Fujino Y., Pacheco B.M., and Chaiseri P., “Modeling of Tuned Liquid Damper (TLD).” Journal of Wind Engineering and Industrial Aerodynamics,41-44, (1992), pp. 1883-1894. [25] Tait M.J., Damatty A.A. El, Isyumov N., and SiddiqueM.R., “Numerical flow models to simulate tuned liquid dampers (TLD) with slat screens,” Journal of Fluids and Structures, 20, (2005), pp. 1007-1023. [26] Tait M.J., “Modeling and preliminary design of a structure-TLD system,” Engineering Structures, 30, (2008), pp. 2644-2655 [27] Tait M.J., Isyumov N. and Damatty A.A.El., “Effectiveness of a 2D TLD and Its Numerical Modeling”, Journal of Structural Engineering, Vol. 133, No. 2, (2007), pp. 251- 263. [28] S. R. Damodarasamy, S. Kavitha “Structural Dynamics and Aseismic Design”PHILearningPrivateLimited,New Delhi, India, 2009, pp. 16-73. [29] Bangale S Taranath, “Structural Analysis and Design of Tall Buildings”, McGraw Hill Book Company, New York, (1979), pp. 643-700. [30] Sun Limin, “Semi-Analytical Modelling of Tuned Liquid Damper (TLD) with Emphasis on Damping of Liquid Sloshing”, Ph.D. Thesis, University of Tokyo, Bunkyo, Tokyo, Japan, 1991