Journal of Structural and Construction Engineering

Journal of Structural and Construction Engineering

A Pushover Procedure Based on the Modal Story Shear and Torsional Moment for Asymmetric-Plan Buildings under Simultaneous Bi-Directional Seismic Excitation

Document Type : Original Article

Authors
Kazem Shakeri 1
Elahe Khansoltani 2
1 Associate Professor, University of Mohaghegh Ardabili, Ardabil, Iran
2 MSc Graduate, University of Mohaghegh Ardabili, Ardabil, Iran
10.22065/jsce.2019.158645.1721
Abstract
In this paper, a modal pushover method is introduced for the assessment of the asymmetric-plan buildings in which, a load pattern is derived based on the story shears and story torque of building due to the simultaneous excitation in x and y directions. The proposed method is a single-run procedure and its significant advantage is its capability in consideration of the structural yielding in one direction on the total responses of the structure due to the simultaneous excitation in two orthogonal directions. In this method, in order to consider the instantaneous changes during the pushover analysis, two capacity curves of the structure are established based on the adaptive capacity spectrum method and the target displacement corresponding to each capacity curve is determined. Then, the structural responses at two pushover steps corresponding to the obtained target displacements are obtained. Eventually, the total responses of the structure are computed by combining the responses corresponding to the x and y directions. In order to evaluate the proposed method, this method has been applied to an irregular 20-story building subjected to the seven pairs of ground motion records and the obtained results are compared with the responses of nonlinear dynamic analysis as the exact responses. The results show the high accuracy of the proposed method in estimating the inter-story drifts of the studied building.
Keywords
Nonlinear analysis
Pushover analysis
Asymmetric-plan building
Simultaneous bi-directional excitation
Inter-story drift
  • Krawinkler, H. and Seneviratna, GDPK. (1998). Pros and cons of a pushover analysis of seismic performance evaluation. Engineering Structures, 20 (4–6), 452–464.
  • Gupta, B. and Kunnath, S.K. (2000). Adaptive spectra-based pushover procedure for seismic evaluation of structures. Earthquake Spectra, 16 (2), 367-391.
  • Aydinoğlu, M.N. (2003). An incremental response spectrum analysis procedure based on inelastic spectral displacements for multi-mode seismic performance evaluation. Bulletin of Earthquake Engineering, 1, 3-36.
  • Shakeri, K. Shayanfar, MA. and Kabeyasawa, T. (2010). A story shear-based adaptive pushover for estimating seismic demands of buildings. Engineering Structures, 32, 174-183.
  • Esfahanian, A. and Aghakouchak, AA. (2019). A Single-run Dynamic-based Approach for Pushover Analysis of Structures Subjected to Near-fault Pulse-like Ground Motions. Journal of Earthquake Engineering, 23 (5), 725-749.
  • Rahmani, AY. Bourahla, N. Bento, R. and Badaoui, M. (2018). An improved upper-bound pushover procedure for seismic assessment of high-rise moment resisting steel frames. Bulletin of Earthquake Engineering, 16 (1), 315–339.
  • Habibi, A. and gholami, R. (2015). Assessment of Accuracy the Nonlinear Static Analysis in Determining Behavior Factor Reinforced Concrete Moment-Resisiting Frames. Journal of Structural and Construction Engineering, 2 (3), 13-22.
  • A‌b‌b‌a‌s‌n‌i‌a1, R. M‌a‌d‌d‌a‌h, MM. and T‌a‌j‌i‌k D‌a‌v‌o‌u‌d‌i, A (2016). A h‌y‌b‌ri‌d m‌e‌t‌h‌od for estimating the inelastic response spectrum due to determination of target displacement using the N2 method. Sharif Journal of Science and Technology, 31-2 (4.1), 61-69.
  • Esfahanian, A. and Aghakouchak, AA (2017). A New Method for Estimation of Target Displacement in Nonlinear Static Analysis of Structures Subjected to Near-Fault Ground Motions. Bulletin of earthquake science and engineering, 1, 37-53.
  • Tahghighi, H. and Tameh, MR (2017). Approximate Nonlinear Seismic Evaluation of Frame Buildings by Static and Dynamic Analysis Methods and Comparison with the Exact Solutions. Modares Civil Engineering journal, 17 (4), 101-112.
  • Chopra, AK. and Goel, RK. (2002). A modal pushover analysis procedure for estimating seismic demands for buildings. Earthquake Engineering & Structural Dynamics, 31, 561–582.
  • Shakeri, K. and Mohebbi, M. (2010). Single-run modal pushover procedure based on the modal shear and moment in the stories. In: Proceeding of 14th European conference on earthquake engineering Macedonia.
  • Shayanfar , MA. and ZareBidoki, R. (2015). Evaluation of Advanced Nonlinear Static Procedure. Journal of Structural and Construction Engineering, 1 (1), 27-38.
  • Kalkan, E. and Kunath, SK. (2006). Adaptive modal combination procedure for nonlinear static analysis of building structures. Journal of Structural Engineering (ASCE), 132, 1721-1731.
  • Afkhami, VR. and Kamali , MT. (2017). Nonlinear static analysis of steel frames with semi rigid beam to column connections using cruciform element. Journal of Structural and Construction Engineering, 4 (4), 98-117.
  • Habibi PourZare, B. and Sadeghi, A. (2019). Comparison of nonlinear static analysis of Iranian standard 2800 with ASCE/SEI 41-13 in intermediate MRF RC buildings. Journal of Structural and Construction Engineering, doi: 10.22065/jsce.2019.148234.1679
  • Kilar, V. and Fajfar, P. (1997). Simple push-over analysis of asymmetric buildings. Earthquake Engineering and Structural Dynamics, 26, 233-249.
  • Bento, R. Bhatt, C. and Pinho, R. (2010). Adaptive capacity spectrum method for seismic assessment of 3D Irregular SPEAR buildings. Journal of Earthquakes and Structures, 1(2), 177-195.
  • Poursha, M. Khoshnoudian, F. Moghadam, AS. (2011). A consecutive modal pushover procedure for nonlinear static analysis of one-way unsymmetric-plan tall building structures. Engineering Structures, 33, 2417-2434.
  • Bhatt, C. and Bento, R. (2014). The Extended Adaptive Capacity Spectrum Method for the Seismic Assessment of Plan Asymmetric Buildings. Earthquake Spectra, 30(2), 683-703.
  • Kaatsız, K. and Sucuoğlu, H. (2014). Generalized force vectors for multi-mode pushover analysis of torsionally coupled systems. Earthquake Engineering & Structural Dynamics, 43 (13), 2015-2033.
  • Karimi, M. and Behnamfar, F. (2018). A three-dimensional drift pushover method for unsymmetrical plan buildings. Bulletin of Earthquake Engineering, 16 (11), 5397-5424.
  • Tasnimi, AA. and Vaziri Vafa, M (2014). Amelioration of the nonlinear seismic responses of RC structures based on the yield displacement (On the Comparison of CSA and YPS analysis methods). Modares Civil Engineering journal, 14 (20), 171-181.
  • Amini, MA. and Poursha, M. (2016). A non-adaptive displacement-based pushover procedure for the nonlinear static analysis of tall building frames. Engineering Structures, 126, 586–597.
  • Moghadam, and Tso, W. (2000). Pushover Analysis for Asymmetric and Set-back Multi-storey Buildings,” Proceeding of the 12th World Conference on Earthquake Engineering, Auckland, New Zealand, Paper No. 1093.
  • Chopra, and Goel, RK. (2004). A modal pushover analysis procedure to estimate seismic demands for unsymmetric-plan buildings. Earthquake Engineering and Structural Dynamics, 33, 903-927.
  • Shakeri, K. Tarbali, K. and Mohebbi, M. (2012). An adaptive modal pushover procedure for asymmetric-plan buildings. Engineering Structures, 36, 160–172.
  • Tarbali, K. and Shakeri, K. (2014). Story shear and torsional moment-based pushover procedure for asymmetric-plan buildings using an adaptive capacity spectrum method. Engineering Structures, 79, 32–44.
  • A‌b‌b‌a‌s‌n‌i‌a, R. M‌o‌h‌a‌j‌e‌r‌i N‌a‌v, F. and T‌a‌j‌i‌k D‌a‌v‌o‌d‌i, A. (2017). An adaptive pushover analysis considering torsional effects. Sharif Journal of Science and Technology, 32.2 (4.1), 39-49.
  • Fujii, K. (2014). Prediction of the largest peak nonlinear seismic response of asymmetric buildings under bi-directional excitation using pushover analyses. Bulletin of Earthquake Engineering, 12 (2), 909–938.
  • Sadeghi, V. Alipour, A. and Hashemi. Sh. (2018). Evaluation of Performance Levels and Response Modification Factors for Prestressed Reinforced Concrete Frames Using Nonlinear Pushover Analysis. Journal of Structural and Construction Engineering, Special Issue 3, 57-79.
  • Roy, A. Bhattacharya, G. and Roy, R. (2017). Maximum credible damage of RC bridge pier under bi-directional seismic excitation for all incidence angles. Engineering Structures, 152, 251–273.
  • Cimellaro, GP. Giovine, T. and Lopez-Garcia, D. (2014). Bidirectional Pushover Analysis of Irregular Structures. Journal of Structural Engineering, 140 (9).
  • Fiouz, A. Safi, M. and Abbasi, A (2013). Parametric evaluation of pushover methods in irregular 3D RC structures under multicomponents seismic loading. Journal of solid and fluid mechanics, 3 (1), 95-104.
  • Sürmeli, M. and Yüksel, E. (2018). An adaptive modal pushover analysis procedure (VMPA-A) for buildings subjected to bi-directional ground motions. Bull Earthquake Eng, 16 (11), 5257-5277.
  • Ayala, AG. and Tavera, EA. (2002). A new approach for the evaluation of the seismic performance of asymmetric buildings. In: Proceeding of seventh national conference on earthquake engineering.
  • Reyes, JC. and Chopra, AK. (2011). Three–dimensional modal pushover analysis of buildings subjected to two components of ground motion including its evaluation for tall buildings. Earthquake engineering and structural dynamics, 40 (7), 789–806.
  • Kreslin, M. and Fajfar, P. (2012). The extended N2 method considering higher mode effects in both plan and elevation. Bulletin of Earthquake Engineering, 10, 695–715.
  • Shakeri, K. and Ghorbani, S. (2015). A pushover procedure for seismic assessment of buildings with bi-axial eccentricity under bi-directional seismic excitation. Soil Dynamics and Earthquake Engineering, 69, 1-15.
  • Manoukas, G. Athanatopoulou, A. and Avramidis, I. (2012). Multimode pushover analysis for asymmetric buildings under biaxial seismic excitation based on a new concept of the equivalent single degree of freedom system. Soil Dynamics and Earthquake Engineering, 38, 88-96.
  • Manoukas, G. and Avramidis, I. (2014). Improved multimode pushover procedure for asymmetric in plan buildings under biaxial seismic excitation—application to tall buildings. The Structural Design of Tall and Special Buildings, 24 (6), 397-420.
  • Soleimani, S. Aziminejad, A. and Moghadam, AS. (2017). Extending the concept of energy-based pushover analysis to assess seismic demands of asymmetric-plan buildings. Soil Dynamics and Earthquake Engineering, 93, 29–41.
  • Poursha, M. Khoshnoudian, F. and Moghadam, AS. (2014). The extended consecutive modal pushover procedure for estimating the seismic demands of two-way unsymmetric-plan tall buildings under influence of two horizontal components of ground motions. Soil Dynamics and Earthquake Engineering, 63,162–173.
  • Belejo, A. and Bento, R. (2016). Improved Modal Pushover Analysis in seismic assessment of asymmetric plan buildings under the influence of one and two horizontal components of ground motions. Soil Dynamics and Earthquake Engineering, 87, 1–15.
  • Casarotti, C. and Pinho, R. (2007). An adaptive capacity spectrum method for assessment of bridges subjected to earthquake action. Bulletin of Earthquake Engineering, 5 (3), 377–90.
  • Gupta, A. and Krawinkler, H. (1999). Seismic demands for performance evaluation of steel moment resisting frame structures (SAC Task 5.4.3). Report no. 132. Palo Alto, CA, John A. Blume Earthquake Engineering Center, Stanford University.
  • OpenSees,‎‏ Open system for earthquake engineering simulation, Pacific Earthquake Engineering Research Center (PEER), Available from: http://opensees.berkeley.edu.
  • Shakeri, K. Tarbali, K. and Mohebbi, M. (2012). Pushover analysis of asymmetric-plan buildings based on distribution of the combined modal story shear and torsional moment. Earthquake Engineering and Engineering Vibration, 13 (4), 707-716.

  • Receive Date 26 November 2018
  • Revise Date 25 August 2019
  • Accept Date 28 September 2019