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International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 08 | Aug 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 130
Seismic Analysis of Asymmetric RCC Buildings using Passive Energy
Dissipating Devices
Shruti S. Mane1, Dr. Y. M. Ghugal2
1PG Student, Government College of Engineering, Karad, Maharashtra, India
2Head of Department, Applied Mechanics, Government College of Engineering, Karad, Maharashtra, India
---------------------------------------------------------------------***----------------------------------------------------------------------
Abstract - This paper deals with the study of different
passive energy dissipation devices. In the present study, the
effectiveness of dampers in reducing the dynamic responsesof
a structure under seismic excitations is evaluated analytically
using response spectrum method. Threedifferentdampersviz.,
Visco Elastic dampers, Fluid Viscous dampers and Friction
dampers are used to evaluate the response of asymmetricRCC
buildings. G+10 storied four different buildings with
asymmetric plans i.e., C shaped, T shaped, L shaped and U
shaped are considered for the analysis. A parametric studyfor
finding optimum damper properties for the reinforced
concrete frames was conducted. Inresponsespectrum method,
earthquake load is applied in both x and y direction. For the
analysis purpose Etabsv v.16 software is been used by
considering seismic zone IV as per is 1893:2002(part 1) code.
Results of these analyses are discussed in terms of various
parameters such as storey displacement, storey drift, base
shear, bending moment, axial forces. The analysis results
confirmed that a significant reduction intheresponsessuchas
displacements and other forces is possible with the
introduction of dampers and hence it can be used as an
alternative to the conventional ductility based design method
of earthquake resistant structures.
Key Words: Passive dampers, fluid viscous dampers,
viscoelastic dampers, friction dampers, response spectrum
1. INTRODUCTION
Passive energy dissipation is a rising technology that
enhances the performance of the building by adding
damping (and in some cases stiffness) to the building. The
principal use of energy dissipation devices is to reduce
earthquakedisplacementofthestructure.Energydissipation
devices will also decrease force in thestructureprovidedthe
structure is responding elasticallybutwouldnotbeexpected
to reduce force in structures whoseresponseis beyondyield.
For many applications, energy dissipation provides an
alternate approach to standard stiffening and strengthening
schemes and would be expected to achieve comparable
performance levels. Other objectives may additionally
influence the choice to use energy dissipation devices, since
these devices may also be helpful for control of building
response due to minute earthquakes, wind, or
mechanical hundreds.
2. BUILDING DESCRIPTION
This study consists G+10 storied building of C shaped, L
shaped, U shapedand T shaped plansalongwithdampersare
as shown in the Fig 1. ModelsconsistofRCCbuildinghaving5
bays in each principal direction; each bay is having width of
4 m.
1. Grade of concrete: M25
2. Grade of steel for longitudinal bars: HYSD415
3. Grade of steel for confinement bars (Ties): Fe250
4. Floor to floor height: 3 m
5. Slab thickness: 120mm
6. Size of Column: 450mm×450mm
7. Size of Beam: 450mm×300mm
8. Seismic Zone: V
9. Soil condition: Medium
10.Importance Factor: I
11.Damping: 5%
12.Building Frame: Special moment resisting frame (SMRF)
13.Density of concrete: 25 kN/m3
14.Types of damper: Visco-elastic, Fluid viscous andFriction
dampers.
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 08 | Aug 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 131
Fig -1: Plans of the buildings considered for the study
3. DAMPER PROPERTIES
3.1 Visco Elastic damper
Visco elastic damper of 3M Company is used for theanalysis.
The model considered is ISD110. Properties derived are as
follows;
Table -1: Properties of VED
Stiffness of damper 12161.6 kN/m
Damping Coefficient 14593.92 kNs/m
3.2 Fluid Viscous Damper
Fluid Viscous Damper of Taylor Devices Inc. is used for the
analysis. The model considered is 17190. Properties derived
are as follows;
Table -2: Properties of FVD
Stiffness of damper 149883 kN/m
Damping Coefficient 10048 kNs/m
Damping exponent 0.45
3.3 Friction Damper
Friction damper of Pall Dynamics Limited is used for the
analysis. Properties derived are as follows;
Table -3: Properties of FD
Stiffness of damper 54460.408 kN/m
Yield strength 700 kN
Post Yield Stiffness Ratio 0.0001
Yielding Exponent 10
Slip Load 500 kN
Brace section ISMB 200
4. MODELING AND ANALYSIS
Modelling and analysis includes modelling of different
building elements, different load cases considered for
analysis and method used for analysis.
4.1 Modeling in ETABS
The building is modeledusingfiniteelementsoftwareETABS.
The following models are considered for C shaped, L shaped,
U shaped and T shaped buildings for the analysis;
WD: Model without damper
VED: Model with visco elastic damper
FVD: Model with fluid viscous damper
FD: Model with friction damper
4.2 Method of analysis
The seismic analysis of all buildings is carried by Response
Spectrum Method in accordance with IS: 1893 (Part I): 2002.
Dynamic response of these buildings in terms of base shear,
modal time period, storey displacement, storey drift, axial
force in column, bending moment and torsional moment in
beams.
5. RESULTS AND DISCUSSION
3D analysis has been carriedout by using responsespectrum
method. Models are analysed to study the performance of
structure by considering effect of three dampers in four
different asymmetric RCC buildings. Dynamic response of
these buildings is presented in terms of base shear, time
period, storey displacement,storey drift, torsionalmoments,
and axial forces in column.
5.1 Results for C shaped building
By observing the performance of C shaped building installed
with visco-elastic damper, fluid viscous damper and friction
damper, visco-elastic damper is found to bemoreeffectivein
reducing displacement, drift, base shear, axial force and
torsional momentsascomparedtootherdampersinstalledin
the building at the consideredlocation.Theresultsareshown
using graphs shown in below charts;
Chart -1: Variation of time period
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 08 | Aug 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 132
Chart -2: Variation of storey displacement
Chart -3: Variation of storey drift
Chart -4: Variation of base shear
The results for axial force in column and torsional moment
in beam are presented for the considered column and
beam as shown in below fig 2.
Fig -2: Column and beam considered for results
Chart -5: Variation of axial force in column
Chart -6: Variation of torsional moment in beam
5.2 Results for L shaped building
From the analysis of L shaped building installed with visco-
elastic damper, fluid viscous damper and friction damper, it
is found that visco elastic damper gives less storey
displacement, storey drift, base shear, axial force and
torsional moments as compared to other dampers. The
results for axial force in column and torsional moment in
beam are presented for the same column and beam in L
shaped building as shown in fig 2 for C shaped building. The
results are shown using graphs shown in below charts;
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 08 | Aug 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 133
Chart -7: Variation of time period
Chart -8: Variation of storey displacement
Chart -9: Variation of storey drift
Chart -10: Variation of base shear
Chart -11: Variation of axial force in column
Chart -12: Variation of torsional moment in beam
5.3 Results for U shaped building
For U shaped building after analysis, it is seen that the
behaviour of frictiondamperismoreeffectiveascomparedto
visco-elastic damper and fluid viscous damper. The results
obtained by installation of friction damperfortheconsidered
location of dampers has shown large reduction in
displacement, drift, base shear, axial force, columnmoments,
beam bending moments andtorsionalmomentsascompared
to building without damper. The results for axial force in
column and torsional moment in beam are presented for the
samecolumn and beam in U shapedbuildingasshowninfig2
for C shaped building. The results are shown using graphs
shown in below charts;
Chart -13: Variation of time period
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 08 | Aug 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 134
Chart -14: Variation of storey displacement
Chart -15: Variation of storey drift
Chart -16: Variation of base shear
Chart -17: Variation of axial force in column
Chart -18: Variation of torsional moment in beam
5.4 Results for T shaped building
After carrying out the analysis of T shaped buildings, it is
seen that visco-elatic damper show large reductions in the
results as compared to fluid viscous damper and friction
damper Visco-elatic damper prove better than the other
two dampers. The results for axial force in column and
torsional moment in beam are presented for the same
column and beam in T shaped building as shown in fig 2 for
C shaped building. The results are shown using graphs
shown in below charts;
Chart -19: Variation of time period
Chart -20: Variation of storey displacement
International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 08 | Aug 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 135
Chart -21: Variation of storey drift
Chart -22: Variation of base shear
Chart -23: Variation of axial force in column
Chart -24: Variation of torsional moment in beam
6. CONCLUSIONS
After analysis the seismic performance of different models
has been compared and effectiveness of passive energy
dissipating devices is concluded. The conclusions of the
present study are as follows:
1. After addition of the dampers to the building, a
significant performance improvement is achieved. The
responses of the storey displacement and inter-storey
drifts decreased significantly as a result of added
dampers.
2. It can be concluded that with the application of dampers
in the structure maximum response, base shear reduces
in structure. The time period is also found to be reduced
as compared to that of bare frame with the addition of
dampers. The bending moments in beams, axial forces in
columns are greatly reduced with the addition of
dampers.
3. It is found that the performance of the building structure
in seismic loading is improved to great extent with the
installation of dampers. From analysis it can be seen that
it is necessary to properly implement and construct a
damper in any high rise building situated in earthquake
prone areas.
4. By the proper selection of location of dampers, the
response of the structure can be minimized to great
extent.
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International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 08 | Aug 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 136
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International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056
Volume: 06 Issue: 08 | Aug 2019 www.irjet.net p-ISSN: 2395-0072
© 2019, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 137
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IRJET- Seismic Analysis of Asymmetric RCC Buildings using Passive Energy Dissipating Devices

  • 1. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 08 | Aug 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 130 Seismic Analysis of Asymmetric RCC Buildings using Passive Energy Dissipating Devices Shruti S. Mane1, Dr. Y. M. Ghugal2 1PG Student, Government College of Engineering, Karad, Maharashtra, India 2Head of Department, Applied Mechanics, Government College of Engineering, Karad, Maharashtra, India ---------------------------------------------------------------------***---------------------------------------------------------------------- Abstract - This paper deals with the study of different passive energy dissipation devices. In the present study, the effectiveness of dampers in reducing the dynamic responsesof a structure under seismic excitations is evaluated analytically using response spectrum method. Threedifferentdampersviz., Visco Elastic dampers, Fluid Viscous dampers and Friction dampers are used to evaluate the response of asymmetricRCC buildings. G+10 storied four different buildings with asymmetric plans i.e., C shaped, T shaped, L shaped and U shaped are considered for the analysis. A parametric studyfor finding optimum damper properties for the reinforced concrete frames was conducted. Inresponsespectrum method, earthquake load is applied in both x and y direction. For the analysis purpose Etabsv v.16 software is been used by considering seismic zone IV as per is 1893:2002(part 1) code. Results of these analyses are discussed in terms of various parameters such as storey displacement, storey drift, base shear, bending moment, axial forces. The analysis results confirmed that a significant reduction intheresponsessuchas displacements and other forces is possible with the introduction of dampers and hence it can be used as an alternative to the conventional ductility based design method of earthquake resistant structures. Key Words: Passive dampers, fluid viscous dampers, viscoelastic dampers, friction dampers, response spectrum 1. INTRODUCTION Passive energy dissipation is a rising technology that enhances the performance of the building by adding damping (and in some cases stiffness) to the building. The principal use of energy dissipation devices is to reduce earthquakedisplacementofthestructure.Energydissipation devices will also decrease force in thestructureprovidedthe structure is responding elasticallybutwouldnotbeexpected to reduce force in structures whoseresponseis beyondyield. For many applications, energy dissipation provides an alternate approach to standard stiffening and strengthening schemes and would be expected to achieve comparable performance levels. Other objectives may additionally influence the choice to use energy dissipation devices, since these devices may also be helpful for control of building response due to minute earthquakes, wind, or mechanical hundreds. 2. BUILDING DESCRIPTION This study consists G+10 storied building of C shaped, L shaped, U shapedand T shaped plansalongwithdampersare as shown in the Fig 1. ModelsconsistofRCCbuildinghaving5 bays in each principal direction; each bay is having width of 4 m. 1. Grade of concrete: M25 2. Grade of steel for longitudinal bars: HYSD415 3. Grade of steel for confinement bars (Ties): Fe250 4. Floor to floor height: 3 m 5. Slab thickness: 120mm 6. Size of Column: 450mm×450mm 7. Size of Beam: 450mm×300mm 8. Seismic Zone: V 9. Soil condition: Medium 10.Importance Factor: I 11.Damping: 5% 12.Building Frame: Special moment resisting frame (SMRF) 13.Density of concrete: 25 kN/m3 14.Types of damper: Visco-elastic, Fluid viscous andFriction dampers.
  • 2. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 08 | Aug 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 131 Fig -1: Plans of the buildings considered for the study 3. DAMPER PROPERTIES 3.1 Visco Elastic damper Visco elastic damper of 3M Company is used for theanalysis. The model considered is ISD110. Properties derived are as follows; Table -1: Properties of VED Stiffness of damper 12161.6 kN/m Damping Coefficient 14593.92 kNs/m 3.2 Fluid Viscous Damper Fluid Viscous Damper of Taylor Devices Inc. is used for the analysis. The model considered is 17190. Properties derived are as follows; Table -2: Properties of FVD Stiffness of damper 149883 kN/m Damping Coefficient 10048 kNs/m Damping exponent 0.45 3.3 Friction Damper Friction damper of Pall Dynamics Limited is used for the analysis. Properties derived are as follows; Table -3: Properties of FD Stiffness of damper 54460.408 kN/m Yield strength 700 kN Post Yield Stiffness Ratio 0.0001 Yielding Exponent 10 Slip Load 500 kN Brace section ISMB 200 4. MODELING AND ANALYSIS Modelling and analysis includes modelling of different building elements, different load cases considered for analysis and method used for analysis. 4.1 Modeling in ETABS The building is modeledusingfiniteelementsoftwareETABS. The following models are considered for C shaped, L shaped, U shaped and T shaped buildings for the analysis; WD: Model without damper VED: Model with visco elastic damper FVD: Model with fluid viscous damper FD: Model with friction damper 4.2 Method of analysis The seismic analysis of all buildings is carried by Response Spectrum Method in accordance with IS: 1893 (Part I): 2002. Dynamic response of these buildings in terms of base shear, modal time period, storey displacement, storey drift, axial force in column, bending moment and torsional moment in beams. 5. RESULTS AND DISCUSSION 3D analysis has been carriedout by using responsespectrum method. Models are analysed to study the performance of structure by considering effect of three dampers in four different asymmetric RCC buildings. Dynamic response of these buildings is presented in terms of base shear, time period, storey displacement,storey drift, torsionalmoments, and axial forces in column. 5.1 Results for C shaped building By observing the performance of C shaped building installed with visco-elastic damper, fluid viscous damper and friction damper, visco-elastic damper is found to bemoreeffectivein reducing displacement, drift, base shear, axial force and torsional momentsascomparedtootherdampersinstalledin the building at the consideredlocation.Theresultsareshown using graphs shown in below charts; Chart -1: Variation of time period
  • 3. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 08 | Aug 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 132 Chart -2: Variation of storey displacement Chart -3: Variation of storey drift Chart -4: Variation of base shear The results for axial force in column and torsional moment in beam are presented for the considered column and beam as shown in below fig 2. Fig -2: Column and beam considered for results Chart -5: Variation of axial force in column Chart -6: Variation of torsional moment in beam 5.2 Results for L shaped building From the analysis of L shaped building installed with visco- elastic damper, fluid viscous damper and friction damper, it is found that visco elastic damper gives less storey displacement, storey drift, base shear, axial force and torsional moments as compared to other dampers. The results for axial force in column and torsional moment in beam are presented for the same column and beam in L shaped building as shown in fig 2 for C shaped building. The results are shown using graphs shown in below charts;
  • 4. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 08 | Aug 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 133 Chart -7: Variation of time period Chart -8: Variation of storey displacement Chart -9: Variation of storey drift Chart -10: Variation of base shear Chart -11: Variation of axial force in column Chart -12: Variation of torsional moment in beam 5.3 Results for U shaped building For U shaped building after analysis, it is seen that the behaviour of frictiondamperismoreeffectiveascomparedto visco-elastic damper and fluid viscous damper. The results obtained by installation of friction damperfortheconsidered location of dampers has shown large reduction in displacement, drift, base shear, axial force, columnmoments, beam bending moments andtorsionalmomentsascompared to building without damper. The results for axial force in column and torsional moment in beam are presented for the samecolumn and beam in U shapedbuildingasshowninfig2 for C shaped building. The results are shown using graphs shown in below charts; Chart -13: Variation of time period
  • 5. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 08 | Aug 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 134 Chart -14: Variation of storey displacement Chart -15: Variation of storey drift Chart -16: Variation of base shear Chart -17: Variation of axial force in column Chart -18: Variation of torsional moment in beam 5.4 Results for T shaped building After carrying out the analysis of T shaped buildings, it is seen that visco-elatic damper show large reductions in the results as compared to fluid viscous damper and friction damper Visco-elatic damper prove better than the other two dampers. The results for axial force in column and torsional moment in beam are presented for the same column and beam in T shaped building as shown in fig 2 for C shaped building. The results are shown using graphs shown in below charts; Chart -19: Variation of time period Chart -20: Variation of storey displacement
  • 6. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 08 | Aug 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 135 Chart -21: Variation of storey drift Chart -22: Variation of base shear Chart -23: Variation of axial force in column Chart -24: Variation of torsional moment in beam 6. CONCLUSIONS After analysis the seismic performance of different models has been compared and effectiveness of passive energy dissipating devices is concluded. The conclusions of the present study are as follows: 1. After addition of the dampers to the building, a significant performance improvement is achieved. The responses of the storey displacement and inter-storey drifts decreased significantly as a result of added dampers. 2. It can be concluded that with the application of dampers in the structure maximum response, base shear reduces in structure. The time period is also found to be reduced as compared to that of bare frame with the addition of dampers. The bending moments in beams, axial forces in columns are greatly reduced with the addition of dampers. 3. It is found that the performance of the building structure in seismic loading is improved to great extent with the installation of dampers. From analysis it can be seen that it is necessary to properly implement and construct a damper in any high rise building situated in earthquake prone areas. 4. By the proper selection of location of dampers, the response of the structure can be minimized to great extent. REFERENCES 1. Constantinou. M. C, Symans. M. D, Tsopelas. P and Taylor. D. P, “Fluid Viscous Dampers in Applications of Seismic Energy Dissipation and Seismic Isolation”,ATC- 17-1 Seminar on Seismic Isolation, Passive Energy Dissipation and Active Control, San Francisco, CA, 1993, pp. 581-592. 2. Mcnamara. R. J and Taylor. D. P, “Fluid Viscous Dampers for high-rise buildings”, Structural Design of Tall and Special Building,Vol 12, (2003),pp. 145–154 3. Kokil. A. S and Shrikhande. M, “Optimal Placement of Supplemental Dampers in SeismicDesignofStructures”, Journal of Seismology and Earthquake Engineering, Vol. 9, No. 3, 2007, pp. 125-135. 4. Lin. W. H and Chopra. A. K, “Earthquake Response of Elastic SDF Systems With Non-Linear Fluid Viscous Dampers”, Earthquake Engineering and Structural Dynamics, Vol-31, 2002, pp. 1623–1642. 5. Sorace. S and Terenzi. G, “Seismic Protection of Frame Structures by Fluid Viscous Damped Braces”, American Society of Civil Engineers, Journal of Structural Engineering, Vol. 134, No. 1, January 1, 2008, pp 45–55. 6. Ras. A and Boumechra. N, “Seismic energy dissipation study of linear fluid viscous dampers in steel structure
  • 7. International Research Journal of Engineering and Technology (IRJET) e-ISSN: 2395-0056 Volume: 06 Issue: 08 | Aug 2019 www.irjet.net p-ISSN: 2395-0072 © 2019, IRJET | Impact Factor value: 7.34 | ISO 9001:2008 Certified Journal | Page 136 design”, Alexandria EngineeringJournal,Productionand hosting by Elsevier B.V., 2016. 7. Guo. T, Xu. J, Xu. W and Di. Z , “Seismic Upgrade of Existing Buildings with Fluid Viscous Dampers: Design Methodologies and Case Study”, American Society of Civil Engineers, Journal of Structural Engineering, October 1, 2014, pp. 04014175 (1-11) 8. Diclelia. M and Mehta. A, “Seismic performance of chevron braced steel frames with and without viscous fluid dampers as a function of ground motion and damper characteristics”, Journal of Constructional Steel Research, Vol.63, 2007, pp.1102–1115. 9. Miyamoto. K., and Singh.J. P. 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A, “Friction-Dampers For Seismic Control OfLa Gardenia Towers South City, Gurgaon, India”Proceedings,12 World Conference on Earthquake Engg., 2008. 14. Pall.S, and Marsh.C.“Responseoffrictiondampedbraced frames” Proceedings American Society of Civil Eng Vol. 108(60), No. ST6, June, 1982, pp.1313-1323. 15. Shao, D., Pall, A. and Soli, B. 2006. “Friction Dampers for seismic upgrade of a 14-story patient tower with a 36- foot tall soft story.” Proc. of 8th U. S. National Conf. on Earthquake Engineering, EERI,Oakland,Calif.,PaperNo. 90 16. Borislav. B. and Mualla. I. H, “Performance of Steel Frames with a new Friction Damper Device under Earthquake Excitation”, Engineering Structures, Production and hosting by Elsevier B.V, Vol. 24, 2002, pp. 365–371. 17. Tabeshpour. M. R and Ebrahimian.H,“Technical Note on Seismic Retrofit of Existing Structures Using Friction Dampers”, Asian Journal of Civil Engineering (Building and housing) Vol. 11, No. 4, 2010, pp. 509-520. 18. Aiken. I. D, Nims. D. 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