A STUDY ON SEISMIC PERFORMANCE OF ADJACENT STRUCTURES CONNECTED WITH FLUID VISCOUS DAMPERS 1 1 AVINASH A.R., 2PADIGELA ABHINAI, 3KARTHIK.B, 4KIRAN KAMATH Assistant professor, Department of Civil Engineering, Manipal Institute of Technology, Manipal University, Manipal 2,3 Post Graduate student, Manipal Institute of Technology, Manipal University, Manipal 4 Professor, Department of Civil Engineering, Manipal Institute of Technology, Manipal University, Manipal E-mail: 1abhinaipadigela@gmail.com Abstract— Seismic performance of two adjacent buildings connected with Fluid Viscous Dampers (FVDs) has been studied in the present work. 3D models of two adjacent buildings are developed using the software ETABS® evaluation version. Height of one building (h) is kept constant at 15 m, whereas the height of adjacent building (H) is varied by increasing the number of storey’s. The H/h ratio is called as height ratio, this ratio is varied from 1 to 3. The adjacent structures with and without FVD connections are subjected to accelerograms of different earthquakes. FVDs are connected at storey levels of both the buildings. Responses of the adjacent structures are compared with and without FVD connections. Responses considered in the study are roof displacements, roof accelerations and base shears. Results indicate that adding FVDs have modified seismic responses of connected structures. Keywords— Time history, Fluid Viscous Dampers, Height ratio(H/h). In order to obtain damping coefficients required for the present study, a method given by Tande and Shinde[4] has been adopted. In their study, an optimal distribution of viscous dampers has been obtained for connected adjacent buildings. As per the study, damping coefficient(Cd) of the damper should be such a way that when the value is increased beyond certain point, it should not affect the response of the building any more i.e., after reaching an optimum value, even if, the value of Cd is increased, it is not going to alter or reduce the response of the building any more. A study conducted by Jinkoo kim et al.[5] has stated that the effectiveness of the Visco-Elastic Dampers connected to the adjacent structures is more when the natural frequencies of the structures are different enough. Xu et al.,[6] performed a study on adjacent buildings connected withFVDs. For the study, two adjacent buildings of same heights and two adjacent buildings of different heights have been considered. The study states that the dampers are more effective when height of one of the connected structures is much less than the other. Literatures indicate that the effect of gradual height variation has not been studied and hence in the present study, height of adjacent building is varied by varying number of storeys. Two 3D buildings connected with FVDs at storey levels are considered and the height of one building is varied to study the effect of FVDs on dynamic characteristics of these buildings. Ι. INTRODUCTION: Lack of space in urban areas has created tendency of building tall structures closer to each other. Earthquakes pose a great threat to these structures as, the effect of earthquake may create a situation wherein, these adjacent buildings pound with each other and can cause severe damage to each other. International building code (IBC) [1] has given guidelines on maintaining a minimum distance between the adjacent buildings to avoid seismic pounding.However, Mehmet Eren Uz[2] has found that the dynamic behavior of buildings can be enhanced by connecting adjacent structures with Fluid Viscous Dampers (FVDs). FVDs are supplemental damping devices which dissipate energy with the help of damping mechanism. FVDs have been widely used in structures for retrofitting. FVDs reduce both stress and deflection simultaneously within a structure subjected to ground motion. This is due to the fact that, force in FVD varies depending on the relative velocity at its ends which produces a response which is inherently out of phase with stresses due to flexing of the structure. FVDs can be installed in both new and existing structures. Since FVDs are relatively small in size, they can be added without significant modification to the structure. FEMA(Federal Emergency Management Agency) 273[3] has given the governing equation of a FVD as, ΙΙ. METHODOLOGY For the study two 3Dadjacent RC frame structures connected with FVDs are developed and analyzed using ETABS® software. Columns and beams are modelled as frame elements having cross sectional dimensions of 600mm × 450mm and 600mm × 350mm respectively. Spacing between two buildings Where, F= Force in the dampers,Co= damping coefficient,|D|= relative velocity between the ends of the device,n= damping exponent of the device(in case of linear dampers, n=1), Sgn is the signum function which indicates the sign of the relative velocity term. Proceedings of 11th IRF International Conference, 8th May 2016, Hyderabad, India, ISBN: 978-93-86083-09-8 12 A Study on Seismic Performance of Adjacent Structures Connected With Fluid Viscous Dampers is 3m. Height of each storey is 3m. The floor slabs are 200mm thick. Gravity loads include self-weight of the structure and live load of 2kN/m2. FVDs are modelled as link elements and effective stiffness of the FVDs is set to zero in order to achieve pure damping. For all the structural elements, M30 concrete and Fe415 steel are considered. Height of one building is kept constant whereas, height of second building is varied based on H/h ratio where ‘H’ is the total height of the second building and ‘h’ is the total height of the first building. In the present study, H/h ratios are obtained by varying second building height keeping the first building height constant. The plan and elevation of the structures corresponding to a configuration with height ratio of 2 are shown in figures 1 and 2 respectively. For the present work, required values of the damping coefficients (Cd) of FVDsare obtained based on a study by Tande and Shinde[4]. As per the study, response of a structure is obtained by varying the values of ‘Cd’. The value of damping coefficient is varied until there is no change in response of the structure which indicates that the effectiveness of the damper seizes to exist beyond certain value of ‘Cd’. The process is repeated for all the height ratios of the buildings to obtain all damping coefficients. In the study three different accelerograms are considered. The acceleration time histories used for the analysis are taken from records of earthquakes which occurred in the California region of USA. Dampers Fig2: Elevation Fig3: Accelerogram of LA03 Fig4: Accelerogram of LA06 Fig5: Accelerogram of LA14 Fig1: Plan of buildings connected with FVDs III. RESULTS AND DISCUSSIONS: The first two accelerograms, LA03 (El Centro Array 5, James Road)( LA stands for Los Angeles) and LA06 (El Centro Array 6) are taken from the1940 El Centro earthquake with a peak ground acceleration (PGA) of 0.386g and 0.23g respectively. The third accelerogram LA14 (Northridge, LA County Fire Station) is from the 1994 Northridge earthquake with a PGA of 0.64g. Accelerograms of these earthquakes are shown along with PGAs in figures 3, 4 and 5 respectively. Models are subjected to time history analysis and response of structures in terms of roof displacement, acceleration and base shearare studied before and after the connection with the FVDs. Response of the connected and unconnected structures (with the height ratios varying from 1 to 3) subjected to accelerograms LA03, LA06 and LA14 are obtained in terms of roof displacements, roof accelerations and base shear. The required damping coefficients of the connecting FVDs obtained are listed in the table 1. From figure 6 it can be observed that there is a significant reduction in peak roof displacement when adjacent structures are connected with FVDs for LA03 accelerogram. Proceedings of 11th IRF International Conference, 8th May 2016, Hyderabad, India, ISBN: 978-93-86083-09-8 13 A Study on Seismic Performance of Adjacent Structures Connected With Fluid Viscous Dampers It can be observed from figure 7 that there is a significant reduction in the peak roof acceleration of buildings for all height ratios ranging from 1 to 3. The figure 8 indicates the variation of Base Shear of the buildings along with the height ratios(H/h) under accelerogram LA03. Thus it is observed how the extent of Base Shear reduction varies with the height ratios(H/h).Similar plots can be obtained for LA06 and LA14 as well. Table 2, 3 and 4 lists the response reductions for LA03, LA06 and LA14 respectively. Reduction in response was observed in every case(LA03, LA06 and LA14) for all the height ratios. It can be seen from tables that the peak reduction in roof displacement is 78.59% for building 1 for LA14 earthquake. For building 2 the peak reduction in roof displacement was observed to be 85.93% for LA14 earthquake. It is also seen that the peak reduction in roof acceleration is 84.48% for building1 for LA14 earthquake. For building 2 the peak reduction in roof acceleration was observed to be 85.87% for LA14 earthquake. It is observed from the tables that the peak reduction in base shear is 76.94% for building 1 for LA14 earthquake. For building 2 the peak reduction in base shear was observed to be 81.14% for LA03 earthquake. Fig6:Variation of peak roof displacement of building for different height ratios a) Building1 Table1: Required damping coefficients for connecting the buildings according to the height ratios b) Building 2 Fig7:Variation of peak roof acceleration of building with different height ratios Fig8:Variation of Base Shear of buildingwith different height ratios a) Building 1 Proceedings of 11th IRF International Conference, 8th May 2016, Hyderabad, India, ISBN: 978-93-86083-09-8 14 A Study on Seismic Performance of Adjacent Structures Connected With Fluid Viscous Dampers Table2: Percentage reduction in response of FVD connected adjacent structures for LA03 Table3: Percentage reduction in response of FVD connected adjacent structures for LA06 Table4: Percentage reduction in response of FVD connected adjacent structures for LA14 indicates a lesser seismic force being attracted by building 2. CONCLUSIONS Results indicate that the dynamic behavior of the building 2 has sustainably enhanced by connecting to building 1 with FVDs. A considerable reduction is observed in the peak roof displacement and peak roof acceleration of both the buildings. A significant reduction in base shear ACKNOWLEDGEMENT The authors would like to express their sincere thanks to Department of Civil Engineering, Manipal Institute of Technology, Manipal and Manipal University for Proceedings of 11th IRF International Conference, 8th May 2016, Hyderabad, India, ISBN: 978-93-86083-09-8 15 A Study on Seismic Performance of Adjacent Structures Connected With Fluid Viscous Dampers providing guidance and facilities required for the present study. [4] REFERENCES [1] [2] [3] International Building Code(IBC):2003 International Code Council, USA. Mehmet Eren Uz.,(2009)"Improving the dynamic behavior of adjacent buildings by connecting them with fluid viscous dampers". University of Wollongong. Federal Emergency Management Agency-ASCE.FEMA 274-“NEHRP commentary on the NEHRP guidelines [5] [6] for the seismic rehabilitation of buildings”. Washington, DC: Federal Emergency Management Agency-ASCE, 1997. Tande, S.N. and Shinde, D.N.(2008). Optimal Seismic Response of Adjacent Coupled Buildings with Dampers. 14 WCEE: 14th World Conference on Earthquake Engineering Conference Proceedings. Beijing, China. Jinkoo kim,, Jingook Ryn and Lan chung., (2005) “seismic performance of structures connected by Visco Elastic Dampers”. Y.L.Xu, Q.He and J.M.Ko., (1997) “Dynamic properties of damper connected adjacent buildings”. Proceedings of 11th IRF International Conference, 8th May 2016, Hyderabad, India, ISBN: 978-93-86083-09-8 16