Numerical investigation of the lateral load behavior of core and coupled rocking walls


  • Ali Sari Department of Civil Engineering, Istanbul Technical University, Istanbul (Turkey)
  • Shokrullah Sorosh Department of Civil Engineering, Istanbul Technical University, Istanbul (Turkey)



rocking wall, reinforced concrete structures, coupled rocking wall system, core rocking wall system, finite element analysis


During last few decades, the researchers have developed new structural systems which have no or minor damage after being hit by severe events like earthquake. Development of self-centering wall having alternative energy dissipation mechanisms was one of these achievements. A wide variety of rocking wall systems, such as jointed walls, hybrid walls, precast walls with end columns (PreWEC), and PreWEC core wall systems, are proposed and studied. This paper describes an analytical investigation of the lateral load behavior of two new types of hybrid rocking wall systems. Core rocking wall is achieved by merging four single hybrid rocking walls and coupled rocking wall is accomplished by coupling two rocking walls using embedded reinforced concrete beams. The concept of coupling hybrid rocking walls using embedded reinforced coupling beam is emerged from previous coupled conventional shear walls studies. As single rocking wall system, in coupled and core rocking wall, post-tensioning tendons are used as a mean to provide self-centering force, and mild steel bars are used to dissipate energy. The nonlinear behavior of the wall is due to the gap opening at the base joint. Three-dimensional finite element model of each system was developed. The stress distribution, crack propagation, and critical sections of these systems are investigated. The effect of spalling concrete cover in the toe region due to rocking action is explained. In addition, the reduction in stiffness and lateral load resisting capacity of the systems due to cracks is monitored. Finally, the lateral load behavior of single rocking walls is compared to that of core and coupled rocking wall systems.


Aaleti, S., & Sritharan, S. (2011). Performance Verification of the PreWEC Concept and Development of Seismic Design Guidelines (ISU-CCEE Report 02/11). Iowa State University. Retrieved from

ACI ITG-5.2 (2009). Requirements for Design of a Special Unbonded Post-Tensioned Precast Shear Wall Satisfying ACI ITG-5.1 and Com-mentary. ACI Innovation Task Group 5: Farmington Hills, MI. Retrieved from

ACI 318 (2011). Building code requirements for structural concrete and commentary. American Concrete Institute: Farmington Hills, MI. Retrieved from

ASCE 7-16 (2017). Minimum Design Loads for Buildings and Other Structures. American Society of Civil Engineers: Reston, VA. Retrieved from Retrieved from

Aslam, M., Goddon, W. G., & Scalise, D. T. (1980). Earthquake rocking response of rigid bodies. Journal of Structural Division, American Society of Civil Engineers, 106(2), 377–392. doi:10.1061/JSDEAG.0005363

ASTM A 615 (2003). Standard Specification for Deformed and Plain Billet-Steel Bars for Concrete Reinforcement. American Concrete Insti-tute: Farmington Hills, MI. Retrieved from

Červenka, V., Jendele, L., & Červenka, J. (2017). ATENA Program Documentation, Prague. Červenka consulting s.r.o. Retrieved from

Crippen, K. (2002). North Viaduct to Lions Gate Bridge: Vancouver engineers allow a structure to rock gently on its foundations to help it withstand a major earthquake. Canadian Consulting Engineer, 43(7),34. Retrieved from

CSI. (2018). SAP2000 Integrated Software for Structural Analysis and Design, Computers and Structures Inc.: Berkeley, California. Retrieved from

Dassault. (2011). Abaqus CAE 6.11 User’s Guide, 1–1146. Retrieved from

Egidio, A.D., Pagliaro, S., Fabrizio, C., & Leo A.M.D. (2020). Seismic performance of frame structures coupled with an external rocking wall. Engineering Strucures, 224(2020), 111207. doi:10.1016/j.engstruct.2020.111207

Fintel, M. (1995). Performance of buildings with shear walls in earthquakes of the last thirty years. PCI Journal, 40(3), 62–80. doi:10.15554/pcij.05011995.62.80

Henry, R. S. (2011). Self-centering Precast Concrete Walls for Buildings in Regions with Low to High Seismicity. Ph.D. Dissertation. Universi-ty of Auckland, Auckland, New Zealand. Retrieved from

Henry, R.S., Sritharan, S. & Ingham J.M. (2016). Finite element analysis of the PreWEC self-centering concrete wall system. Engineering Structures, 115, 28–41. doi:10.1016/j.engstruct.2016.02.029

Housner, G. W. (1963). The behavior of inverted pendulum structures during earthquakes. Bulletin of the Seismological Society of America, 53(2), 403–417. doi:10.1017/CBO9781107415324.004

Kalliontzis, D., & Nazari, M. (2021). Unbonded Post-tensioned Precast Concrete Walls with Rocking Connections: Modeling Approaches and Impact Damping. Frontier in Built Environment , 7(638509). doi:10.3389/fbuil.2021.638509

Kurama, Y. C., & Shen, Q. (2004). Posttensioned hybrid coupled walls under lateral loads. Journal of Structural Engineering, 130(2), 297-309. doi:10.1061/(ASCE)0733-9445(2004)130:2(297)

Kurama, Y. C., Sause, R., Pessiki, S., Lu, L. W., & El-Sheikh, M.(1998). Seismic design and response evaluation of unbounded post-tensioned precast concrete walls (Precast Seismic Structural Systems (PRESSS) Rep. No. 98/03). Lehigh University, PA.

Kurama, Y. C., Pessiki, S., Sause, R., & Lu, L. W. (1999). Seismic behavior and design of unbonded post-tensioned precast concrete walls. PCI Journal, 44(3), 72–89. doi:10.15554/pcij.05011999.72.89

Lin, C.P., Wiebe, R., & Berman, J.W. (2019). Analytical and numerical study of curved-base rocking walls. Engineering structures, 197(2019), 109397. doi:10.1016/j.engstruct.2019.109397

Moroder, D., Sarti, F., Palermo, A., & Pampanin, S. (2014). Experimental investigation of wall-to-floor connections in post-tensioned timber buildings: Proceeding of the towards integrated seismic design conference. Auckland. Retrieved from

Nazari, M., & Sritharan, S. (2020). Influence of different damping components on dynamic response of concrete rocking walls. Engineering Structure, 212(2020), 110468. doi:10.1016/j.engstruct.2020.110468

Prakash, G.H. Powell (1993). DRAIN-2DX-Version 1.02 – User Guide (Report No. UCB/SEMM-93/17). Civil Eng. Dept., University of Cali-fornia at Berkeley, CA. Retrieved from

Priestley, M. J. N. (1991). Overview of PRESSS research program. PCI Journal, 36(4), 50–57. doi:10.15554/pcij.07011991.50.57

Priestley, M. J. N., Sritharan, S. S., Conley, J. R., & Pampanin, S. (1999). Preliminary results and conclusions from the PRESSS five-story precast concrete test building. PCI Journal, 44(6), 42–67. doi:10.15554/pcij.11011999.42.67

Sritharan, S., Aaleti S., Henry R.S., Liu K.Y. & Tsai K.C. (2015). Precast concrete wall with end columns (PreWEC) for earthquake resistant design. Earthquake Engineering and Structural Dynamics , 44 (12), 2075 2092. doi:10.1002/eqe.2576

Smith, B. J., & Kurama, Y. C. (2012). Seismic Design Guidelines for Special Hybrid Precast Concrete Shear Walls (Structural Engineering Research Report NDSE-2012-02). University of Notre Dame.

Stone, W. C., Cheok, G. S., & Stanton, J. F. (1995). Performance of Hybrid Moment-Resisting Precast Beam-Column Concrete Connections Subjected to Cyclic Loading. ACI Structural Journal, 91(2), 229-249. doi: 10.14359/1145

Vayas, I., Dasiou, M. E., & Marinelli, A. (2007). Säulen Griechischer Tempel Unter Erdbebenbeanspruchung. Bautechnik, 84(6), 388–396. doi:10.1002/bate.200710034

Watkins, J., Sritharan, S., & Henry, R.S. (2014). An Experimental Investigation of a Wall-to-Floor Connector for Self-Centering Walls: Pro-ceeding of the 10th U.S. National Conference on Earthquake Engineering. Anchorage, Alaska. doi:10.4231/D3BZ61862




How to Cite

Sari, A. ., & Sorosh, S. (2022). Numerical investigation of the lateral load behavior of core and coupled rocking walls. Revista De La Construcción. Journal of Construction, 21(1), 36–52.