Technical Papers
Jun 7, 2024

Evaluation of Critical Input Directions for Establishing the Maximum Response of Structures under Bidirectional Seismic Action: Case Study of Eight-Story Structures

Publication: Journal of Structural Engineering
Volume 150, Issue 8

Abstract

This study quantitatively evaluated the level of conservatism or accuracy of four typical directions used to assess the maximum structural response over all nonredundant seismic input angles: fault-normal and fault-parallel (FN and FP), the direct maximum direction (MD), the maximum peak ground velocity (PGV) direction, and the principal axes directions. Two eight-story models of symmetric and asymmetric buildings were developed, and two ensembles of ground motion records were selected considering three varying ground motion intensities. Bidirectional nonlinear response-history analyses (RHAs) were performed by rotating each pair of ground motion horizontal components to 26 orientations, from 0° to 170° in increments of 10° as well as four critical and their orthogonal directions. The effect of rotating the ground motions on several engineering demand parameters (EDPs) was investigated and the seismic demands in four critical directions were compared and evaluated deterministically and probabilistically. The four critical directions were re-evaluated by considering the largest response between two orthogonal pairs. The results show that the response in the maximum PGV direction is very close or equal to the maximum value over all orientations, especially for high levels of ground motion intensities, and thus is recommended for ground motion selection in performance-based seismic design and assessment. In addition, the influence of rotation angle is effectively reduced when using the larger seismic response value of the two orthogonal pairs while maintaining the same number of RHAs.

Get full access to this article

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

Data Availability Statement

All data, models, and code generated or used during the study appear in the published article.

Acknowledgments

The lead author gratefully acknowledges support for this study provided by the National Natural Science Foundation of China (No. 52278539) and the Natural Science Foundation of Zhejiang Province (No. LY21E080017).

References

Athanatopoulou, A. M. 2005. “Critical orientation of three correlated seismic components.” Eng. Struct. 27 (2): 301–312. https://doi.org/10.1016/j.engstruct.2004.10.011.
BSSC (Building Seismic Safety Council). 2009. Recommended provisions for seismic regulations for new buildings and other structures. Washington, USA: FEMA.
Cornell, C. A., F. Jalayer, R. O. Hamburger, and D. A. Foutch. 2002. “Probabilistic basis for 2000 SAC federal emergency management agency steel moment frame guidelines.” J. Struct. Eng. 128 (4): 526–533. https://doi.org/10.1061/(ASCE)0733-9445(2002)128:4(526).
Di Sarno, L., S. Amiri, and A. Garakaninezhad. 2020. “Effects of incident angles of earthquake sequences on seismic demands of structures.” Structures 28 (Dec): 1244–1251. https://doi.org/10.1016/j.istruc.2020.09.064.
Fontara, I.-K. M., K. G. Kostinakis, G. E. Manoukas, and A. M. Athanatopoulou. 2015. “Parameters affecting the seismic response of buildings under bi-directional excitation.” Struct. Eng. Mech. 53 (5): 957–979. https://doi.org/10.12989/sem.2015.53.5.957.
Giannopoulos, D., and D. Vamvatsikos. 2018. “Ground motion records for seismic performance assessment: To rotate or not to rotate?” Earthquake Eng. Struct. Dyn. 47 (12): 2410–2425. https://doi.org/10.1002/eqe.3090.
Goda, K. 2012. “Comparison of peak ductility demand of inelastic SDOF systems in maximum elastic response and major principal directions.” Earthquake. Spectra 28 (1): 385–399. https://doi.org/10.1193/1.3673606.
Gong, J., X. Zhi, and F. Fan. 2021. “Effect of incident directionality on seismic responses and bearing capacity of OLF1000.” Eng. Struct. 242 (Sep): 112542. https://doi.org/10.1016/j.engstruct.2021.112542.
Huang, Y., A. A. S. Whittaker, and N. Luco. 2009. “Orientation of maximum spectral demand in the near-fault region.” Earthquake Spectra 25 (3): 707–717. https://doi.org/10.1193/1.3158997.
ICBO (International Conference for Building Officials). 2009. International building code. Whittier, CA: ICBO.
ICBO (International Conference for Building Officials). 2010. California building code. Whittier, CA: ICBO.
ICC (International Code Council). 2021. International building code. Whittier, CA: International Conference for Building Officials.
Kalkan, E., and N. S. Kwong. 2014. “Pros and cons of rotating ground motion records to fault-normal/parallel directions for response history analysis of buildings.” J. Struct. Eng. 140 (3): 04013062. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000845.
Kalkan, E., and J. C. Reyes. 2015. “Significance of rotating ground motions on behavior of symmetric- and asymmetric-plan structures: Part II. Multi-story structures.” Earthquake Spectra 31 (3): 1613–1628. https://doi.org/10.1193/072012EQS242M.
Kim, J. H., M. K. Kim, and I. Choi. 2019. “Experimental study on seismic behavior of lead-rubber bearing considering bi-directional horizontal input motions.” Eng. Struct. 198 (Nov): 109529. https://doi.org/10.1016/j.engstruct.2019.109529.
Kostinakis, K. G., G. E. Manoukas, and A. M. Athanatopoulou. 2018. “Influence of seismic incident angle on response of symmetric in plan buildings.” KSCE J. Civ. Eng. 22 (2): 725–735. https://doi.org/10.1007/s12205-017-1279-1.
Li, C., S. Kunnath, Z. Zuo, W. Peng, and C. Zhai. 2020a. “Effects of early-arriving pulse-like ground motions on seismic demands in RC frame structures.” Soil Dyn. Earthquake Eng. 130 (Mar): 105997. https://doi.org/10.1016/j.soildyn.2019.105997.
Li, C., Z. Zuo, S. Kunnath, and L. Chen. 2020b. “Orientation of the strongest velocity pulses and the maximum structural response to pulse-like ground motions.” Soil Dyn. Earthquake Eng. 136 (Sep): 106240. https://doi.org/10.1016/j.soildyn.2020.106240.
Li, Y. G., and H. P. Hong. 2020c. “Stability-based damage assessment and rapid post-disaster quantification of a latticed shell subjected to earthquake loading.” Eng. Struct. 206 (Mar): 110020. https://doi.org/10.1016/j.engstruct.2019.110020.
López, O. A., A. K. Chopra, and J. J. Hernandez. 2000. “Critical response of structures to multicomponent earthquake excitation.” Earthquake Eng. Struct. Dyn. 29 (12): 1759–1778. https://doi.org/10.1002/1096-9845(200012)29:12%3C1759::AID-EQE984%3E3.0.CO;2-K.
López, O. A., and R. Torres. 1997. “The critical angle of seismic incidence and the maximum structural response.” Earthquake Eng. Struct. Dyn. 26 (9): 881–894. https://doi.org/10.1002/(SICI)1096-9845(199709)26:9%3C881::AID-EQE674%3E3.0.CO;2-R.
MacRae, G. A., and J. Mattheis. 2000. “Three-dimensional steel building response to near-fault motions.” J. Struct. Eng. 126 (1): 117–126. https://doi.org/10.1061/(ASCE)0733-9445(2000)126:1(117).
Mavronicola, E. A., P. C. Polycarpou, and P. Komodromos. 2020. “Effect of ground motion directionality on the seismic response of base isolated buildings pounding against adjacent structures.” Eng. Struct. 207 (Mar): 110202. https://doi.org/10.1016/j.engstruct.2020.110202.
Mejía-Pérez, D., J. Valdés-González, and J. De-La-Colina. 2021. “Assessment of the inelastic structural response of building models that consider the combination of orthogonal seismic effects.” Eng. Struct. 234 (May): 111967. https://doi.org/10.1016/j.engstruct.2021.111967.
Menun, C., and A. Der Kiureghian. 2000a. “Envelopes for seismic response vectors. I: Theory.” J. Struct. Eng. 126 (4): 467–473. https://doi.org/10.1061/(ASCE)0733-9445(2000)126:4(467).
Menun, C., and A. Der Kiureghian. 2000b. “Envelopes for seismic response vectors. II: Application.” J. Struct. Eng. 126 (4): 474–481. https://doi.org/10.1061/(ASCE)0733-9445(2000)126:4(474).
MoHUD (Ministry of Housing and Urban-Rural Development). 2010. Code for seismic design of buildings. GB 50011-2010. Beijing: China Architecture Building Press.
Ning, C., S. Wang, and Y. Cheng. 2022. “An explicit solution for the effect of earthquake incidence angles on seismic ductility demand of structures using Bouc-Wen model.” Soil Dyn. Earthquake Eng. 153 (May): 107085. https://doi.org/10.1016/j.soildyn.2021.107085.
Pavlidou, C., and P. Komodromos. 2020. “Peak seismic response of a symmetric base-isolated steel building: Near vs. far fault excitations and varying incident angle.” Earthquake Struct. 18 (3): 349–365. https://doi.org/10.12989/eas.2020.18.3.349.
Penzien, J., and M. Watabe. 1974. “Characteristics of 3-dimensional earthquake ground motions.” Earthquake Eng. Struct. Dyn. 3 (4): 365–373. https://doi.org/10.1002/eqe.4290030407.
Poulos, A., and E. Miranda. 2022. “Probabilistic characterization of the directionality of horizontal earthquake response spectra.” Earthquake Eng. Struct. Dyn. 51 (9): 2077–2090. https://doi.org/10.1002/eqe.3654.
Reyes, J. C., and E. Kalkan. 2015. “Significance of rotating ground motions on behavior of symmetric- and asymmetric-plan structures: Part I. Single-story structures.” Earthquake Spectra 31 (3): 1591–1612. https://doi.org/10.1193/072012EQS241M.
Rigato, A. B., and R. A. Medina. 2007. “Influence of angle of incidence on seismic demands for inelastic single-storey structures subjected to bi-directional ground motions.” Eng. Struct. 29 (10): 2593–2601. https://doi.org/10.1016/j.engstruct.2007.01.008.
Roy, A., G. Bhattacharya, and R. Roy. 2017. “Maximum credible damage of RC bridge pier under bi-directional seismic excitation for all incidence angles.” Eng. Struct. 152 (Dec): 251–273. https://doi.org/10.1016/j.engstruct.2017.09.008.
Ruiz-García, J., S. Yaghmaei-Sabegh, and E. Bojórquez. 2018. “Three-dimensional response of steel moment-resisting buildings under seismic sequences.” Eng. Struct. 175 (Nov): 399–414. https://doi.org/10.1016/j.engstruct.2018.08.050.
Shahi, S. K., and J. W. Baker. 2014. “NGA-West2 models for ground motion directionality.” Earthquake Spectra 30 (3): 1285–1300. https://doi.org/10.1193/040913EQS097M.
Skoulidou, D., and X. Romão. 2019. “Uncertainty quantification of fragility and risk estimates due to seismic input variability and capacity model uncertainty.” Eng. Struct. 195 (Sep): 425–437. https://doi.org/10.1016/j.engstruct.2019.05.067.
Skoulidou, D., and X. Romão. 2020. “The significance of considering multiple angles of seismic incidence for estimating engineering demand parameters.” Bull. Earthquake Eng. 18 (1): 139–163. https://doi.org/10.1007/s10518-019-00724-y.
Skoulidou, D., X. Romão, and P. Franchin. 2019. “How is collapse risk of RC buildings affected by the angle of seismic incidence?” Earthquake Eng. Struct. Dyn. 48 (14): 1575–1594. https://doi.org/10.1002/eqe.3214.
Song, Z., F. Wang, Y. Li, and Y. Liu. 2019. “Nonlinear seismic responses of the powerhouse of a hydropower station under near-fault plane P-wave oblique incidence.” Eng. Struct. 199 (Nov): 109613. https://doi.org/10.1016/j.engstruct.2019.109613.
Stewart, J. P., et al. 2011. “Representation of bidirectional ground motions for design spectra in building codes.” Earthquake Spectra 27 (3): 927–937. https://doi.org/10.1193/1.3608001.
Tezcan, S. S., and C. Alhan. 2001. “Parametric analysis of irregular structures under seismic loading according to the new Turkish Earthquake Code.” Eng. Strut. 23 (6): 600–609. https://doi.org/10.1016/S0141-0296(00)00084-5.
Tian, L., S. Yi, and B. Qu. 2018. “Orienting ground motion inputs to achieve maximum seismic displacement demands on electricity transmission towers in near-fault regions.” J. Struct. Eng. 144 (4): 04018017. https://doi.org/10.1061/(ASCE)ST.1943-541X.0002000.
Wang, Y., L. Ibarra, and C. Pantelides. 2020. “Effect of incidence angle on the seismic performance of skewed bridges retrofitted with buckling-restrained braces.” Eng. Struct. 211 (May): 110411. https://doi.org/10.1016/j.engstruct.2020.110411.
Wen, W., and E. Kalkan. 2022. “Identifying dynamic response of a twenty-story instrumented building to 2018 M7.1 anchorage, Alaska Earthquake and its aftershocks.” J. Earthquake Eng. 26 (16): 8670–8687. https://doi.org/10.1080/13632469.2021.1991860.
Wilson, E. L., S. Iqbal, and H. Ashraf. 1995. “A clarification of the orthogonal effects in a three-dimensional seismic analysis.” Earthquake Spectra 11 (4): 659–666. https://doi.org/10.1193/1.1585831.
Zamora, M., and R. Riddell. 2011. “Elastic and inelastic response spectra considering near-fault effects.” J. Earthquake Eng. 15 (5): 775–808. https://doi.org/10.1080/13632469.2011.555058.

Information & Authors

Information

Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 150Issue 8August 2024

History

Received: May 16, 2023
Accepted: Mar 12, 2024
Published online: Jun 7, 2024
Published in print: Aug 1, 2024
Discussion open until: Nov 7, 2024

Permissions

Request permissions for this article.

ASCE Technical Topics:

Authors

Affiliations

Associate Professor, College of Civil Engineering, Zhejiang Univ. of Technology, Hangzhou 310014, China (corresponding author). Email: [email protected]
Chengtong Wang [email protected]
Graduate Student, College of Civil Engineering, Zhejiang Univ. of Technology, Hangzhou 310014, China. Email: [email protected]
Sashi K. Kunnath [email protected]
Professor, Civil & Environmental Engineering, Univ. of California, Davis, CA 95616. Email: [email protected]
Associate Professor, College of Civil Engineering, Taiyuan Univ. of Technology, Taiyuan 030024, China. 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.

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