Stochastic Analysis of Adjacent Structures Subjected to Structural Pounding under Earthquake Excitation

Document Type : Regular Paper


1 Department of Civil Engineering, Babol Noshirvani University of Technology, Babol, Iran

2 Department of Civil Engineering, Islamic Azad University, Qaemshahr Branch, Qaemshahr, Iran


Seismic pounding occurs as a result of lateral vibration and insufficient separation distance between two adjacent structures during earthquake excitation. This research aims to evaluate the stochastic behavior of adjacent structures with equal heights under earthquake-induced pounding. For this purpose, many stochastic analyses through comprehensive numerical simulations are carried out. About 4.65 million time-history analyses were carried out over the considered models within OpenSees software framework. Various separation distances effects are also studied. The response of considered structures is obtained by means of Hertzdamp contact element. The models have been excited using 25 earthquake records with different peak ground accelerations. The probability of collision between neighboring structures has been evaluated. An efficient combination of analytical and simulation techniques is used for the calculation of the separation distance under the assumptions of non-linear elasto-plastic behavior for the structures. The results obtained through Monte Carlo simulations show that use of the current provision’s rule may significantly overestimate or underestimate the required separation distance, depending on the natural vibration periods of adjacent buildings. Moreover, based on the results, a formula is developed for stochastic assessment of required separation distance.


Main Subjects

[1] Rosenblueth, E., Meli, R. (1986). “The 1985 earthquake: causes and effects in Mexico City.” Concrete International, ACI, Issue 5, pp. 23-24.
[2] Kasai, K., Maison, B.F. (1997). “Building pounding damage during the 1989 Loma Prieta earthquake.” Engineering Structures, Vol. 19, pp. 195-207.
 [3] Davis, R.O. (1992). “Pounding of buildings modeled by an impact oscillator.” Earthquake Engineering and Structural
   Dynamics, Vol. 21, Issue 3, pp. 253-274.
[4] Pantelides, C.P., Ma, X. (1998). “Linear and nonlinear pounding of structural systems.” Computers and Structures, Vol. 66. Issue 1, pp. 79-92.
[5] Hao, H. Liu, X.Y., Shen, J. (2000). “Pounding response of adjacent buildings subjected to spatial earthquake ground excitations.” Advanced Structural Engineering, Vol. 3, Issue 2, pp. 145–162.
[6] Hao, H., Gong, L. (2005). “Analysis of coupled lateral-torsional-pounding responses of one-storey asymmetric adjacent structures subjected to bidirectional ground motions, part II:
Spatially varying ground motion input.” Advanced Structural Engineering, Vol. 8, Issue 5, pp. 481–496. DOI: 10.1260/136943305774857990
[7] Jankowski, R. (2006). “Pounding force response spectrum under earthquake excitation.” Engineering Structures, Vol. 28, Issue 8, pp. 1149-1161.
[8] Karayannis, C.G., Favvata, M.J. (2005). “Earthquake-induced interaction between adjacent reinforced concrete structures with non-equal heights.” Earthquake Engineering and Structural Dynamics, Vol. 34, Issue 1, pp. 1–20.
[9] Efraimiadou, S., Hatzigeorgiou, G.D., Beskos., D.E. (2013a). “Structural pounding between adjacent buildings subjected to strong ground motions. Part I: The effect of different structures arrangement.” Earthquake Engineering and Structural Dynamics, Vol. 42, Issue 10, pp. 1509–1528.
[10] Efraimiadou, S., Hatzigeorgiou, G.D., Beskos, D.E. (2013a). “Structural pounding between adjacent buildings subjected to strong ground motions. Part II: The effect of multiple earthquakes.” Earthquake Engineering and Structural Dynamics, Vol. 42, Issue 10, pp. 1529–1545.
[11] Taflanidis, A.A., Jia, G.F. (2011). “A simulation-based framework for risk assessment and probabilistic sensitivity analysis of base-isolated structures.” Earthquake Engineering and Structural Dynamics, Vol. 40, Issue 14, 1629–1651.
[12] Pant, D.R., Wijeyewickrema, A.C. (2012). “Structural performance of a base-isolated reinforced concrete building subjected to seismic pounding.” Earthquake Engineering and Structural Dynamics, Vol. 41, Issue 12, 1709–1716.
[13] Bhaskararao, A.V., Jangid, R.S. (2006). “Seismic analysis of structures connected with friction dampers.” Engineering Structures, Vol. 28, Issue 5, pp. 690–703.
[14] Chouw, N., Hao, H. (2008). “Significance of SSI and non-uniform near-fault ground motions in bridge response II: effect on response with modular expansion joint.” Engineering Structures, Vol. 30, Issue 1, pp.154–162.
[15] Bharti, S.D., Dumne, S.M., Shrimali, M.K. (2010). “Seismic response analysis of adjacent buildings connected with MR dampers.” Engineering Structures, Vol. 32, Issue 8, pp. 2122–2133.
[16] Polycarpou, P.C., Komodromos, P., Polycarpou, A.C. (2013). “A nonlinear impact model for simulating the use of rubber shock absorbers for mitigating the effects of structural pounding during earthquakes.” Earthquake Engineering and Structural Dynamics, Vol. 42, Issue 1, pp. 81–100.
[17] Alam MI, Kim D. (2014) “Spatially varying ground motion effects on seismic response of adjacent structures considering soil structure interaction.” Advanced Structural Engineering, Vol. 17, Issue 1, pp. 131–142.
[18] Kharazian, A.; Lopez-Almansa, F. (2017)
“State-of-the-art of research on seismic pounding between buildings with aligned
slabs.” Archives of Computational Methods in Engineering. pp. 1–19. DOI: 10.1007/s11831-017-9242-3.
[19] Moustafa, A., Mahmoud, S. (2014). “Damage assessment of adjacent buildings under earthquake loads.” Engineering Structures, Vol. 61, pp. 153-165.
[20] Naderpour, H., Barros, R.C., Khatami. (2015). “A study of pounding to simulate impact and determine the impact damping ratio.” Proceedings of the Fifteenth International Conference on Civil, Structural and Environmental Engineering Computing, Civil-Comp Press, Stirlingshire, Scotland.
[21] Naderpour, H., Khatami, S.M., Barros, R.C. (2017). “Prediction of critical distance between two MDOF systems subjected to seismic excitation in terms of artificial neural networks.” Periodica Polytechnica Civil Engineering, Vol. 61, Issue 3, pp. 516-529.
[22] Naderpour, H., Barros, R.C., Khatami, S.M., Jankowski, R. (2016). “Numerical study on pounding between two adjacent buildings under earthquake excitation.” Shock and Vibration,
[23] Zanardo, G., Hao, H., Modena, C. (2002). “Seismic response of multi-span simply supported bridges to a spatially varying earthquake ground motion.” Earthquake Engineering and Structural Dynamics, Vol. 31, Issue 6, pp 1325–1345. DOI: 10.1002/​eqe.166
[24] Saadeghvaziri, M.A., Yazdani-Motlagh, A. (2007). “Inelastic seismic response of stiffening buildings and development of demand spectrum: application to MSSS bridges.” Earthquake Engineering and Structural Dynamics, Vol. 36, Issue 4, pp. 2153–2169.
[25] Bi, K.M., Hao, H., & Chouw, N. (2011). “Influence of ground motion spatial variation, site condition and SSI on the required separation distances of bridge structures to avoid seismic pounding.” Earthquake Engineering and Structural Dynamics, Vol. 40, Issue 9, 1027–1043.
[26] Li, B., Bi, K.M., Chouw, N., Butterworth, J.W., Hao, H. (2012). “Experimental investigation of spatially varying effect of ground motions on bridge pounding.” Earthquake Engineering and Structural Dynamics, Vol. 41, Issue 14, pp. 1959–1976.
[27] Sheikh, M.N., Xiong, J., Li, W.H. (2012). “Reduction of seismic pounding effects of base-isolated RC highway bridges using MR damper.” Structural Engineering and Mechanics, Vol. 41, Issue 6, pp. 791–803.
[28] Tubaldi, E., Barbato, M., Ghazizadeh, S. (2012). “A probabilistic performance-based risk assessment approach for seismic pounding with efficient application to linear systems.” Structural Safety, Vol. 36–37, pp. 601-626.
[29] Barbato, M., Tubaldi, E. (2013). “A probabilistic performance-based approach for mitigating the seismic pounding risk between adjacent buildings.” Earthquake Engineering and Structural Dynamics, Vol. 42, Issue 8, pp. 1203-1219.
[30] OpenSees. (2016). Open System for Earthquake Engineering Simulation. Pacific Earthquake Engineering Research Center. University of California, Berkeley, CA.
[31] MATLAB. (2015). The Language of Technical Computing, (Version R2015b).
[32] Standard No. 2800. (2015). Iranian Code of Practice for Seismic Resistant Design of Buildings, 4th edition, Ministry of Housing and Urban Development of Iran, Tehran, Iran.
[33] Lankarani, H.M., Nikravesh, P.E. (1990). “A contact force model with hysteresis damping for impact analysis of multi-body systems.” Journal of Mechanical Design, ASME, Vol. 112, Issue 3, pp. 369-376. Doi:10.1115/1.2912617.
[34] Muthukumar, S., DesRoches, R. (2006) “A Hertz contact model with non-linear damping for pounding simulation.” Earthquake Engineering and Structural Dynamics Vol. 35, Issue 7, pp. 811–828.