Abstract
The structural response modification factor (R) is a parameter, which determines the performance of a structure in a nonlinear range during strong earthquakes. Hence, in the previous research, the effect of viscose dampers on the coefficient of structural modification has been measured. In this research, the effect of friction dampers on the R factor in steel structures with regard to traditional and advanced methods of nonlinear static analysis has been investigated. With the development of the application of pushover analysis, in recent years, several advanced pushover methods have been proposed to consider the realistic behaviors of structures, including the effect of higher modes or the effect of changes in the structural modal characteristics during the analysis owing to the yielding of members. Therefore, the adaptive pushover analysis was used to consider the impact of near- and far-field records. In general, the factors affecting the R factor are distinguishable from the following two perspectives: strength and ductility. Structural analysis has been carried out by the finite element method and by taking into account the nonlinear method of the members in an extended fiber section method, with and without frictional damper in different places and positions. The results show that in particular the R factor has increased 52.45% on average, under different conditions. Therefore, using the results of numerous cases and the application of dampers with different slip loads and the variable number of dampers in each story, a new equation (Rd) is proposed for the R factor of structures along with a friction damper (slip force, number of story, and bay of equipped with damper).
Similar content being viewed by others
References
Abdi, H., Hejazi, F., Jaafar, M. S., & Karim, I. A. (2016). Evaluation of response modification factor for steel structures with soft story retrofitted by viscous damper device. Advances in Structural Engineering, 19, 1275–1288. https://doi.org/10.1177/1369433216642036
Abdi, H., Hejazi, F., Jaafar, M. S., & Karim, I. B. A. (2018). Response modification factors for reinforced concrete structures equipped with viscous damper devices. Periodica Polytechnica Civil Engineering, 62, 11–25.
Abdi, H., Hejazi, F., Saifulnaz, R., Karim, I. A., & Jaafar, M. S. (2015). Response modification factor for steel structure equipped with viscous damper device. International Journal of Steel Structures, 15, 605–622.
Abdollahzadeh, G., & Abbasi, M. (2015). Response modification factor of suspended zipper braced frames. Steel and Composite Structures, 18, 165–185.
Abdollahzadeh, G., & Banihashemi, M. R. (2013). Response modification factor of dual moment-resistant frame with buckling restrained brace (BRB). Steel and Composite Structures, 14, 621–636.
Abdollahzadeh, G., & Sadeghi, A. (2018). Earthquake recurrence effect on the response reduction factor of steel moment frame. Asian Journal of Civil Engineering, 19, 993–1008.
Abou-Elfath, H., & Elhout, E. (2018). Evaluating the response modification factors of RC frames designed with different geometric configurations. International Journal of Civil Engineering, 16, 1699–1711.
Aliakbari, F., & Shariatmadar, H. (2019). Seismic response modification factor for steel slit panel-frames. Engineering Structures, 181, 427–436.
ANSI/AISC 360-10 (2010). Committee A. Specification for structural steel buildings. Am Inst Steel Constr Chicago-Illinois.
Antoniou, S., & Pinho, R. (2009). Displacement-based adaptive pushover. ECCOMAS Thematic Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (Rhodes, Greece, 22–24 June 2009).
Antoniou, S., & Pinho, R. (2004). Advantages and limitations of adaptive and non-adaptive force-based pushover procedures. Journal of Earthquake Engineering, 8, 497–522.
Asghari, A., & Zarnagh, B. A. (2017). A new study of seismic behavior of perforated coupled shear walls. International Journal of Civil Engineering, 15, 775–789.
Badal, P. S., & Sinha, R. (2019). Assessment of response reduction factor for reinforced concrete frame buildings in a probabilistic seismic risk framework. Recent Advances in Structural Engineering, 2, 255–267.
Beiraghi, H., & Zhou, H. (2020). Dual-steel frame consisting of moment-resisting frame and shape memory alloy braces subjected to near-field earthquakes. The Structural Design of Tall and Special Buildings, 29, e1784.
Bhandari, M., Bharti, S. D., Shrimali, M. K., & Datta, T. K. (2018). The numerical study of base-isolated buildings under near-field and far-field earthquakes. Journal of Earthquake Engineering, 22, 989–1007.
Bhandari, M., Bharti, S. D., Shrimali, M. K., & Datta, T. K. (2019). Seismic fragility analysis of base-isolated building frames excited by near-and far-field earthquakes. Journal of Performance of Constructed Facilities, 33, 4019029.
Chen, X. L., Fu, J. P., Xue, F., & Wang, X. F. (2017). Comparative numerical research on the seismic behavior of RC frames using normal and high-strength reinforcement. International Journal of Civil Engineering, 15, 531–547.
Farzam, M. F., Kaveh, A., Jalali, H. H., & Maroofiazar, R. (2020). Robust optimum design of a tuned mass damper inerter. Acta Mechanica, 231, 3871–3896.
FEMA P-695 (2009). Quantification of Building Seismic Performance Factors. Washington, DC: Federal Emergency Management Agency (FEMA).
Gholizad, A., & Kamrani, M. P. (2014). Friction damper dynamic performance in seismically excited knee braced steel frames. International Journal of Civil Engineering, 12, 32–40.
Hejazi, F., Kojouri, S. J., Noorzaei, J., Jaafar, M. S., Thanoon, W. A., & Abdullah, A. (2011). Inelastic seismic response of RC building with control system. Key Engineering Materials, 462, 241–246.
Hejazi, F., Noorzaei, J., Jaafar, M. S., & Abdullah, A. A. A. (2009). Earthquake analysis of reinforce concrete framed structures with added viscous dampers. International Journal of Applied Science, Engineering and Technology, 65, 284–293.
Izadinia, M., Rahgozar, M. A., & Mohammadrezaei, O. (2012). Response modification factor for steel moment-resisting frames by different pushover analysis methods. Journal of Constructional Steel Research, 79, 83–90.
Jamalzadeh, A., & Barghian, M. (2015). Dynamic response of a pendulum isolator system under vertical and horizontal earthquake excitation. Periodica Polytechnica Civil Engineering, 59, 433–440.
Kaveh, A., Fazam, M. F., & Maroofiazar, R. (2020). Comparing H2 and H∞ algorithms for optimum design of tuned mass dampers under near-fault and far-fault earthquake motions. Periodica Polytechnica Civil Engineering, 64, 828–844.
Kaveh, A., Pirgholizadeh, S., & Khadem, H.O. (2015). Semi-active tuned mass damper performance with optimized fuzzy controller using CSS algorithm. Asian Journal of Civil Engineering, 16, 587–606.
Kheyroddin, A., & Mashhadiali, N. (2018). Response modification factor of concentrically braced frames with hexagonal pattern of braces. Journal of Constructional Steel Research, 148, 658–668.
Krawinkler, H., Nassar, A.A. (1992) Seismic design based on ductility and cumulative damage demands and capacities. Nonlinear Seism. Anal. Des. Reinf. Concr. Build. (pp. 31–4e). CRC Press.
Lin, Y. Y., & Chang, K. C. (2003). Study on damping reduction factor for buildings under earthquake ground motions. Journal of the Structural Engineering. American Society of Civil Engineers, 129, 206–214.
Mahmoudi, M., & Abdi, M. G. (2012). Evaluating response modification factors of TADAS frames. Journal of Constructional Steel Research, 71, 162–170.
Mahmoudi, M., Mirzaei, A., & Vosough, S. (2013). Evaluating equivalent damping and response modification factors of frames equipped by pall friction dampers. Journal of Rehabilitation in Civil Engineering, 1, 78–92.
Mahmoudi, M., & Zaree, M. (2010). Evaluating response modification factors of concentrically braced steel frames. Journal of Constructional Steel Research, 66, 1196–1204.
Mahmoudi, M., & Zaree, M. (2011). Evaluating the overstrength of concentrically braced steel frame systems considering members post-buckling strength. International Journal of Civil Engineering, 9, 57–62.
Menegotto, M. (1973). Method of analysis for cyclically loaded RC plane frames including changes in geometry and non-elastic behavior of elements under combined normal force and bending. In: Proceedings of IABSE symposium on resistance and ultimate deformability of structures acted on by well defined repeated loads (pp 15–22). Zurich, Switzerland: International Association for Bridge and Structural Engineering.
Miranda, E., & Bertero, V. V. (1994). Evaluation of strength reduction factors for earthquake-resistant design. Earthquake Spectra, 10, 357–379.
Mondal, A., Ghosh, S., & Reddy, G. R. (2013). Performance-based evaluation of the response reduction factor for ductile RC frames. Engineering Structures, 56, 1808–1819.
Naghavi, M., Rahnavard, R., Thomas, R. J., & Malekinejad, M. (2019). Numerical evaluation of the hysteretic behavior of concentrically braced frames and buckling restrained brace frame systems. Journal of Building Engineering, 22, 415–428.
Nassar, A. A., & Krawinkler, H. (1991). Seismic demands for SDOF and MDOF systems, Issue 95 of Report (John A. Blume Earthquake Engineering Center). John A. Blume Earthquake Engineering Center, Department of Civil Engineering, Stanford University.
Newmark, N.M., & Hall, W.J. (1982) Earthquake Spectra and Design Earthquake Engineering Research Institute, Oakland.
Pavan, A., Pinho, R., & Antoniou, S. (2008). Blind prediction of a full scale 3D steel frame tested under dynamic conditions. 14th World Conf. Earthq. Eng. Beijing, China.
Rahnavard, R., Hassanipour, A., Suleiman, M., & Mokhtari, A. (2017). Evaluation on eccentrically braced frame with single and double shear panels. Journal of Building Engineering, 10, 13–25.
Rofooei, F. R., Mirjalili, M. R., & Attari, N. K. A. (2012). Modal spectra combination method for pushover analysis of special steel moment resisting frames. International Journal of Civil Engineering, 10, 245–252.
SeismoSoft, S. (2006). A computer program for static and dynamic nonlinear analysis of framed structures. Disponível online em. http://www.seismosoft.com. Accessed 5 Nov 2020.
Sharifi, S., & Toopchi-Nezhad, H. (2018). Seismic response modification factor of RC-frame structures based on limit state design. International Journal of Civil Engineering, 16, 1185–1200.
Siahpolo, N., Gerami, M., & Vahdani, R. (2016). Inelastic deformation demands of regular steel frames subjected to pulse-like near-fault ground shakings. International Journal of Advanced Structural Engineering, 8, 281–296.
Soltangharaei, V., Razi, M., & Gerami, M. (2016). Comparative evaluation of behavior factor of SMRF structures for near and far fault ground motions. Periodica Polytechnica Civil Engineering, 60, 75–82.
Uang, C.-M. (1991). Establishing R (or R w) and C d factors for building seismic provisions. Journal of the Structural Engineering. American Society of Civil Engineers, 117, 19–28.
Uang, C. M. (1992) Seismic force reduction and displacement amplification factors. 10th World Conf. Earthq. Eng. Madrid, vol. 10, pp. 5875–80.
Webpage (2019). https://www.quaketek.com/.
Yahmi, D., Branci, T., Bouchaïr, A., & Fournely, E. (2018). Evaluating the behaviour factor of medium ductile SMRF structures. Periodica Polytechnica Civil Engineering, 62, 373–385.
Zeynalian, M., & Ronagh, H. R. (2012). An experimental investigation on the lateral behavior of knee-braced cold-formed steel shear walls. Thin-Walled Structures, 51, 64–75.
Zeynalian, M., Shahrasbi, A. Z., & Riahi, H. T. (2018). Seismic response of cold formed steel frames sheathed by fiber cement boards. International Journal of Civil Engineering, 16, 1643–1653.
Author information
Authors and Affiliations
Corresponding author
Ethics declarations
Conflict of interest
On behalf of all authors, the corresponding author states that there is no conflict of interest.
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Sadeghi, A., Abdollahzadeh, G., Rajabnejad, H. et al. Numerical analysis method for evaluating response modification factor for steel structures equipped with friction dampers. Asian J Civ Eng 22, 313–330 (2021). https://doi.org/10.1007/s42107-020-00315-2
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s42107-020-00315-2