Technical Papers
Dec 24, 2019

Dynamic-Based Pushover Analysis for Two-Way Plan-Asymmetric Buildings under Bidirectional Seismic Excitation

Publication: Journal of Structural Engineering
Volume 146, Issue 3

Abstract

A dynamic-based pushover procedure for two-way plan-asymmetric buildings (DPTPA) is proposed based on performing two nonlinear static analyses along the principal directions of the structural model to properly consider the torsional and higher modes effects. Along each direction, a lateral-torsional load pattern is developed for each of the stiff and flexible edges. For this purpose, in each direction, the peak story drift responses of the stiff and flexible edges and the center of stiffness (CS) are obtained from a response spectrum analysis (RSA). Then, the resulting peak story drifts for each of the stiff and flexible edges are decomposed into their translational and rotational components of the floor’s displacement. The displacement vectors determined for each of the flexible and stiff edges are used to construct two lateral load patterns consisting of equivalent lateral forces and torsional moments, corresponding to the flexible and stiff edges of the structural system. Then, two standard pushover analyses with the prescribed lateral load patterns are performed along each direction, and the envelope of the results for each direction are combined according to the square root of the sum of squares (SRSS) technique to determine the final structural response. The code suggested target displacements (for each direction) are also proposed to be modified using a modification factor with regard to the level of nonlinearity sustained by the structural model. To evaluate the efficiency of the proposed DPTPA procedure, the nonlinear time history analysis (NL-THA), the practical modal pushover analysis method (PMPA), and the extended-N2 method are employed using a couple of numerical examples. The required comparisons are made on global and local seismic demands. The obtained results clearly demonstrate the superiority of the proposed DPTPA procedure in efficiently estimating the induced seismic demands and in being much easier to use for professional application relative to other considered enhanced pushover procedures.

Get full access to this article

View all available purchase options and get full access to this article.

References

Antoniou, S., and R. Pinho. 2004. “Development and verification of a displacement-based adaptive pushover procedure.” J. Earthquake Eng. 8 (5): 643–661.
ASCE. 2010. Minimum design loads for buildings and other structures. ASCE 7. Reston, VA: ASCE.
ASCE. 2017. Seismic evaluation and retrofit of existing buildings. ASCE 41. Reston, VA: ASCE.
Basu, D., and S. K. Jain. 2004. “Seismic analysis of asymmetric buildings with flexible floor diaphragms” J. Struct. Eng. 130 (8): 1169–1176. https://doi.org/10.1061/(ASCE)0733-9445(2004)130:8(1169).
Bento, R., C. Bhatt, and R. Pinho. 2010. “Using nonlinear static procedures for seismic assessment of the 3D irregular SPEAR building” Earthquake Struct. 1 (2): 177–195. https://doi.org/10.12989/eas.2010.1.2.177.
Bhatt, C., and R. Bento. 2011. “Extension of the CSM-FEMA440 to plan-asymmetric real building structures.” Earthquake Eng. Struct. Dyn. 40 (11): 1263–1282. https://doi.org/10.1002/eqe.1087.
Bosco, M., A. Ghersi, and E. M. Marino. 2012. “Corrective eccentricities for assessment by the nonlinear static method of 3D structures subjected to bidirectional ground motions.” Earthquake Eng. Struct. Dyn. 41 (13): 1751–1773. https://doi.org/10.1002/eqe.2155.
Calderoni, B., A. D’Aveni, A. Ghersi, and Z. Rinaldi. 2002. “Static vs. modal analysis of asymmetric buildings: effectiveness of dynamic eccentricity formulations.” Earthquake Spectra 18 (2): 219–231. https://doi.org/10.1193/1.1494085.
CEN (European Committee for Standardization). 2005a. Design of structures for earthquake resistance. 1: General rules, seismic actions and rules for buildings. Eurocode 8-1. Brussels, Belgium: CEN.
CEN (European Committee for Standardization). 2005b. Design of structures for earthquake resistance. 3: Assessment and retrofitting of buildings. Eurocode 8-3. Brussels, Belgium: CEN.
Cheung, V. W. T., and W. K. Tso. 1986. “‘Eccentricity in irregular multistory buildings.’” Can. J. Civ. Eng. 13 (1): 46–52. https://doi.org/10.1139/l86-007.
Chopra, A. K. 2012. Dynamics of structures: Theory and applications to earthquake engineering. Englewood Cliffs, NJ: Prentice Hall.
Chopra, A. K., and C. Chintanapakdee. 2004. “Inelastic deformation ratios for design and evaluation of structures: Single-degree-of-freedom bilinear systems.” J. Struct. Eng. 130 (9): 1309–1319. https://doi.org/10.1061/(ASCE)0733-9445(2004)130:9(1309).
Chopra, A. K., and R. K. Goel. 2004. “A modal pushover analysis procedure to estimate seismic demands for unsymmetric-plan buildings: theory and preliminary evaluation.” Earthquake Eng. Res. Center 33 (8): 903–927. https://doi.org/10.1002/eqe.380.
De Stefano, M., and V. Mariani. 2014. “Pushover analysis for plan irregular building structures.” Perspect. Eur. Earthquake Eng. Seismolog. 34 (Jul): 429–448.
De Stefano, M., and B. Pintucchi. 2010. “Predicting torsion-induced lateral displacements for pushover analysis: Influence of torsional system characteristics.” Earthquake Eng. Struct. Dyn. 39 (12): 1369–1394.
Elnashai, A. S. 2001. “Advanced inelastic static (pushover) analysis for earthquake applications.” Struct. Eng. Mech. 12 (1): 51–69. https://doi.org/10.12989/sem.2001.12.1.051.
Fajfar, P., V. Kilar, D. Marusic, I. Perus, and G. Magliulo. 2005a. “The extension of the N2 method to asymmetric buildings.” In Proc., 4th European Workshop on the Seismic Behaviour of Irregular and Complex Structures. Thessaloniki, Greece: EAEE Task Group, Aristotle Univ. of Thessaloniki.
Fajfar, P., D. Marušić, and I. Peruš. 2005b. “Torsional effects in the pushover-based seismic analysis of buildings.” J. Earthquake Eng. 9 (6): 831–854.
Fardis, M. N. 2002. Design of an irregular building for the SPEAR project: Description of the 3-storey structure. Patras, Greece: Univ. of Patras.
FEMA. 2009. Quantification of building seismic performance factors, ATC-63 report. FEMA-P695. Washington, DC: FEMA.
Ghersi, A., E. Marino, and P. Rossi. 2007. “Static versus modal analysis: influence on inelastic response of multistorey asymmetric buildings.” Bull. Earthquake Eng. 5 (4): 511–532. https://doi.org/10.1007/s10518-007-9046-1.
Ghersi, A., and P. P. Rossi. 2000. “Formulation of design eccentricity to reduce ductility demand in asymmetric buildings.” Eng. Struct. 22 (7): 857–871. https://doi.org/10.1016/S0141-0296(98)00064-9.
Goel, R. K., and A. K. Chopra. 1991. “Inelastic seismic response of one-storey, asymmetric-plan systems: effects of system parameters and yielding.” Earthquake Eng. Struct. Dyn. 20 (3): 201–222. https://doi.org/10.1002/eqe.4290200302.
Goel, R. K., and A. K. Chopra. 1993. “Seismic code analysis of buildings without locating centers of rigidity.” J. Struct. Eng. 119 (10): 3039–3055. https://doi.org/10.1061/(ASCE)0733-9445(1993)119:10(3039).
Goel, R. K., and A. K. Chopra. 2005. “Extension of modal pushover analysis to compute member forces.” Earthquake Spectra 21 (1): 125–139. https://doi.org/10.1193/1.1851545.
Gupta, B., and S. K. Kunnath. 2000. “Adaptive spectra-based pushover procedure for seismic evaluation of structures.” Earthquake Spectra 16 (2): 367–392. https://doi.org/10.1193/1.1586117.
Hejal, R., and A. K. Chopra. 1987. Earthquake response of torsionally-coupled buildings. Berkeley, CA: Univ. of California.
Hsiao, F. P., Y. Oktavianus, and Y. C. Ou. 2015. “A pushover seismic analysis method for asymmetric and tall buildings.” J. Chin. Inst. Eng. 38 (8): 991–1001. https://doi.org/10.1080/02533839.2015.1056553.
Humar, J. L. 1984. “Design for seismic torsional forces.” Can. J. Civ. Eng. 11 (2): 150–163. https://doi.org/10.1139/l84-027.
Kalkan, E., and S. K. Kunnath. 2006. “Adaptive modal combination procedure for nonlinear static analysis of building structures.” J. Struct. Eng. 132 (11): 1721–1731. https://doi.org/10.1061/(ASCE)0733-9445(2006)132:11(1721).
Kreslin, M., and P. Fajfar. 2012. “The extended N2 method considering higher mode effects in both plan and elevation.” Bull. Earthquake Eng. 10 (2): 695–715. https://doi.org/10.1007/s10518-011-9319-6.
Lin, J. L., K. C. Tsai, and M.-C. Chuang. 2012. “Understanding the trends in torsional effects in asymmetric-plan buildings.” Bull. Earthquake Eng. 10 (3): 955–965. https://doi.org/10.1007/s10518-012-9339-x.
Mirjalili, M. R. 2017. “Improved nonlinear static analysis for estimating seismic demands.” Ph.D. dissertation, Dept. of Civil Engineering, Sharif Univ. of Technology.
Mirjalili, M. R., and F. R. Rofooei. 2017. “The modified dynamic-based pushover analysis of steel moment resisting frames.” Struct. Des. Tall Special Build. 26 (12): e1378. https://doi.org/10.1002/tal.1378.
OpenSees. 2004. Open system for earthquake engineering simulation. Berkeley, CA: Univ. of California.
Papanikolaou, V. K., A. S. Elnashai, and J. F. Pareja. 2006. “Evaluation of conventional and adaptive pushover analysis II: Comparative results.” J. Earthquake Eng. 10 (1): 127–151.
Penelis, G. G., and A. J. Kappos. 2002. “3D pushover analysis: The issue of torsion.” In Proc., 12th European Conf. on Earthquake Engineering. London: European Association on Earthquake Engineering, Society of Earthquake and Civil Engineering Dynamics.
Pinho, R., M. Marques, R. Monteiro, and C. Casarotti. 2008. “Using the adaptive capacity spectrum method for seismic assessment of irregular frames.” In Proc., 5th European Workshop on the Seismic Behaviour of Irregular and Complex Structures, 21. Catania, Italy: Univ. of Catania.
Poursha, M., F. Khoshnoudian, and A. S. Moghadam. 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 Dyn. Earthquake Eng. 63 (Aug): 162–173. https://doi.org/10.1016/j.soildyn.2014.02.001.
Reyes, J. C., and A. K. Chopra. 2011a. “Evaluation of three-dimensional modal pushover analysis for unsymmetric-plan buildings subjected to two components of ground motion.” Earthquake Eng. Struct. Dyn. 40 (13): 1475–1494. https://doi.org/10.1002/eqe.1100.
Reyes, J. C., and A. K. Chopra. 2011b. “Three-dimensional modal pushover analysis of buildings subjected to two components of ground motion, including its evaluation for tall buildings.” Earthquake Eng. Struct. Dyn. 40 (7): 789–806. https://doi.org/10.1002/eqe.1060.
Rofooei, F. R., N. K. Attari, A. Rasekh, and A. H. Shodja. 2007. “Adaptive pushover analysis.” Asian J. Civ. Eng. (Build. Hous.) 8 (3): 343–358.
Rofooei, F. R., and M. R. Mirjalili. 2018. “Dynamic-based pushover analysis for one-way plan-asymmetric buildings.” Eng. Struct. 163 (May): 332–346. https://doi.org/10.1016/j.engstruct.2018.02.052.
Rofooei, F. R., M. R. Mirjalili, and N. K. A. Attari. 2012. “Modal spectra combination method for pushover analysis of special steel moment resisting frames.” Int. J. Civ. Eng. 10 (4): 245–252.
USGS. 2015. “US seismic design maps.” Accessed February 20, 2017. http://earthquake.usgs.gov/designmaps/us/application.php.

Information & Authors

Information

Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 146Issue 3March 2020

History

Received: Jul 21, 2018
Accepted: Jun 10, 2019
Published online: Dec 24, 2019
Published in print: Mar 1, 2020
Discussion open until: May 24, 2020

Permissions

Request permissions for this article.

Authors

Affiliations

Mohammad R. Mirjalili [email protected]
Assistant Professor, Dept. of Civil Engineering, Yazd Univ., P. O. Box 89195-741, Yazd, Iran (corresponding author). Email: [email protected]
Fayaz R. Rofooei [email protected]
Professor, Dept. of Civil Engineering, Sharif Univ. of Technology, P. O. Box 11155-4313, Tehran, Iran. Email: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share