No Access

Numerical Studies on Seismic Response of Structural Systems Using a Response-Spectra Based Intensity Measure

Pasupuleti Naga Mohan

https://orcid.org/0009-0007-5649-087X

Indian Institute of Technology Kharagpur, Kharagpur 721302, India

E-mail Address: nagamohan.pasupulati@kgpian.iitkgp.ac.in

Corresponding author.

Search for more papers by this author

and

Aritra Chatterjee

https://orcid.org/0000-0001-8323-7131

Indian Institute of Technology Kharagpur, Kharagpur 721302, India

Search for more papers by this author

https://doi.org/10.1142/S0219455424400078Cited by:0 (Source: Crossref)

This article is part of the issue:

Special issue on Computational Structural Dynamics
Guest Editors: Saikat Sarkar and Tarun Kant

Abstract

This paper proposes a novel intensity measure (IM) based on the geometric mean of acceleration response spectral ordinates to assess the probabilistic performance of structures subjected to seismic loading. Instead of relying solely on the fundamental period, the proposed IM is evaluated across a fixed period range for all structural systems, which allows consideration of higher mode effects and period changes due to nonlinearity. The proposed seismic IM is evaluated using two established indices sufficiency and efficiency. Sufficiency quantifies the independence of an engineering demand parameter at a specific intensity level with ground motion characteristics such as seismic magnitude $(M)$ $(M)$ and distance from site to fault plane $(R)$ $(R)$ . It is calculated by linear regression analysis, or using gradient-based relative sufficiency measures. On the other hand, efficiency is measured as dispersion across ground motions at a given intensity level for any physical response quantity. It helps to reduce computational demand for failure probability assessment by considering a smaller number of records compared to an inefficient IM for similar confidence levels. The effectiveness of the proposed IM along with 10 other IMs is demonstrated on single degree of freedom systems with various fundamental periods by performing nonlinear time history analysis using a far-field ground motion record set. The study is also extended to five degree of freedom lumped mass stick models, 2D models (4-, 8-, and 12-story archetype steel frames), and 3D reinforced concrete shear wall building model. The results indicate that the proposed IM limits dispersion to within 10% for long-time period structures, and demonstrates improved sufficiency across different structural systems. For example, gradient of the proposed IM with respect to magnitude $M$ $M$ and site-to-source distance $R$ $R$ for a 12-story steel frame is reduced by 42.9% and 94%, respectively, compared to spectral acceleration at fundamental time period. Potential application of this research lies in efficiently conducting seismic reliability assessment and design for structural systems.

Keywords:

Remember to check out the Most Cited Articles!
Remember to check out the structures

References

1. V. Mohsenian, R. Filizadeh and I. Hajirasouliha , Seismic response estimation and fragility curve development using an innovative response bound method, Int. J. Struct. Stab. Dyn. (2023) 2350196, https://doi.org/10.1142/S0219455423501961. Link, Web of Science, Google Scholar
2. N. Luco and C. A. Cornell , Structure-specific scalar intensity measures for near-source and ordinary earthquake ground motions, Earthq. Spectra 23(2) (2007) 357–392. Crossref, Web of Science, Google Scholar
3. E. Yaghoubi, A. R. Emami and M. S. Birzhandi , Ida-based collapse safety assessment of torsional-irregular buildings, considering ductility and damage, Int. J. Struct. Stab. Dyn. (2023) 2350200, https://doi.org/10.1142/S0219455423502000. Link, Web of Science, Google Scholar
4. N. Shome, C. A. Cornell, P. Bazzurro and J. E. Carballo , Earthquakes, records, and nonlinear responses, Earthq. Spectra 14(3) (1998) 469–500. Crossref, Google Scholar
5. A. K. Chopra , Dynamics of Structures (Pearson Education, India, 2007). Google Scholar
6. N. A. Abrahamson and W. J. Silva , Empirical response spectral attenuation relations for shallow crustal earthquakes, Seismol. Res. Lett. 68(1) (1997) 94–127. Crossref, Google Scholar
7. H. A. Al Abadi, N. T. Lam, E. F. Gad and A. M. Chandler , Earthquake floor spectra for unrestrained building components, Int. J. Struct. Stab. Dyn. 4(03) (2004) 361–377. Link, Google Scholar
8. M. A. Hariri-Ardebili, H. Rahmani-Samani and M. Mirtaheri , Seismic stability assessment of a high-rise concrete tower utilizing endurance time analysis, Int. J. Struct. Stab. Dyn. 14(06) (2014) 1450016. Link, Google Scholar
9. G. Diaz-Martinez and A. Teran-Gilmore , Prediction of the influence of higher modes on the dynamic response of high-rise buildings subjected to narrow-banded ground motions, Int. J. Struct. Stab. Dyn. 23(04) (2023) 2350114. Link, Web of Science, Google Scholar
10. B. Alavi and H. Krawinkler , Effects of Near-Fault Ground Motions on Frame Structures (John A. Blume Earthquake Engineering Center, Stanford, 2001). Google Scholar
11. S. S. F. Mehanny , Modeling and Assessment of Seismic Performance of Composite Frames with Reinforced Concrete Columns and Steel Beams (Stanford University, 2000). Google Scholar
12. M. Bianchini, P. Diotallevi and J. Baker , Prediction of inelastic structural response using an average of spectral accelerations, in 10th Int. Conf. Structural Safety and Reliability (ICOSSAR09), 2009, Osaka, Japan, Vol. 1317, pp. 2164–2171. Google Scholar
13. H. Shakib and M. Pirizadeh , Probabilistic seismic performance assessment of setback buildings under bidirectional excitation, J. Struct. Eng. 140(2) (2014) 04013061. Crossref, Web of Science, Google Scholar
14. C. Adam, S. Tsantaki, L. F. Ibarra and D. Kampenhuber , Record-to-record variability of the collapse capacity of multi-story frame structures vulnerable to P-delta, in Proc. 2nd European Conf. Earthquake Engineering and Seismology (2ECEES), 2014, Istanbul, Turkey, pp. 1–12. Google Scholar
15. M. Papadrakakis, V. Papadopoulos and V. Plevris , Collapse capacity spectra based on an improved intensity measure, in Proceedings of the 4 th ECCOMAS Thematic Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (COMPDYN 2013), 2013, Kos Island, Greece. Google Scholar
16. L. Eads, E. Miranda and D. G. Lignos , Average spectral acceleration as an intensity measure for collapse risk assessment, Earthq. Eng. Struct. Dyn. 44(12) (2015) 2057–2073. Crossref, Web of Science, Google Scholar
17. L. Eads, E. Miranda and D. Lignos , Spectral shape metrics and structural collapse potential, Earthq. Eng. Struct. Dyn. 45(10) (2016) 1643–1659. Crossref, Web of Science, Google Scholar
18. A. K. Kazantzi and D. Vamvatsikos , Intensity measure selection for vulnerability studies of building classes, Earthq. Eng. Struct. Dyn. 44(15) (2015) 2677–2694. Crossref, Web of Science, Google Scholar
19. C. Adam, D. Kampenhuber and L. F. Ibarra , Optimal intensity measure based on spectral acceleration for P-delta vulnerable deteriorating frame structures in the collapse limit state, Bull. Earthq. Eng. 15(10) (2017) 4349–4373. Crossref, Web of Science, Google Scholar
20. M. Kohrangi, S. R. Kotha and P. Bazzurro , Ground-motion models for average spectral acceleration in a period range: Direct and indirect methods, Bull. Earthq. Eng. 16(1) (2018) 45–65. Crossref, Web of Science, Google Scholar
21. M. Kohrangi, P. Bazzurro, D. Vamvatsikos and A. Spillatura , Conditional spectrum based ground motion record selection using average spectral acceleration, Earthq. Eng. Struct. Dyn. 47(1) (2018) 265–265. Crossref, Web of Science, Google Scholar
22. A. Norouzi and M. Poursha , Effect of the spectral shape of ground motion records on the collapse fragility assessment of degrading SDOF systems, Earthq. Eng. Eng. Vib. 20(4) (2021) 925–941. Crossref, Web of Science, Google Scholar
23. S. Tsantaki, C. Adam and L. F. Ibarra , Intensity measures that reduce collapse capacity dispersion of P-delta vulnerable simple systems, Bull. Earthq. Eng. 15(3) (2017) 1085–1109. Crossref, Web of Science, Google Scholar
24. X.-L. Rong, J.-H. Yang, L. Jun, Y.-X. Zhang, S.-S. Zheng and L. Dong , Optimal ground motion intensity measure for seismic assessment of high-rise reinforced concrete structures, Case Stud. Constr. Mater. 18 (2023) e01678. Web of Science, Google Scholar
25. M. Z. Esteghamati and Q. Huang , Evaluating the impact of higher-mode and inelastic dynamic responses of concrete frames on the performance of seismic intensity measures, Structures 56 (2023) 105029. Crossref, Web of Science, Google Scholar
26. X. Lai, Z. He, Y. Chen, Y. Zhang, Z. Li, Z. Guo and L. Ma , A modified spectral-velocity-based earthquake intensity measure for super high-rise buildings, Soil Dyn. Earthq. Eng. 162 (2022) 107504. Crossref, Web of Science, Google Scholar
27. L. Dahal, H. Burton and M. S. Handcock , Comparative assessment of alternative methods for evaluating the optimality of ground motion intensity measures using woodframe buildings, Soil Dyn. Earthq. Eng. 173 (2023) 108084. Crossref, Web of Science, Google Scholar
28. P. P. Cordova, G. G. Deierlein, S. S. Mehanny and C. A. Cornell , Development of a two-parameter seismic intensity measure and probabilistic assessment procedure, in 2nd US-Japan Workshop on Performance-Based Earthquake Engineering Methodology for Reinforced Concrete Building Structures, 2000, Sapporo, Hokkaido, Japan, pp. 187–206. Google Scholar
29. E. Bojórquez, V. Baca, J. Bojórquez, A. Reyes-Salazar, R. Chávez and M. Barraza , A simplified procedure to estimate peak drift demands for mid-rise steel and R/C frames under narrow-band motions in terms of the spectral-shape-based intensity measure $I_{N p}$ $I_{N p}$ , Eng. Struct. 150 (2017) 334–345. Crossref, Web of Science, Google Scholar
30. W. W. Hines, D. C. Montgomery and D. M. G. C. M. Borror , Probability and Statistics in Engineering (John Wiley & Sons, 2008). Google Scholar
31. H. Dávalos and E. Miranda , Filtered incremental velocity: A novel approach in intensity measures for seismic collapse estimation, Earthq. Eng. Struct. Dyn. 48(12) (2019) 1384–1405. Crossref, Web of Science, Google Scholar
32. F. Jalayer, J. Beck and F. Zareian , Analyzing the sufficiency of alternative scalar and vector intensity measures of ground shaking based on information theory, J. Eng. Mech. 138(3) (2012) 307–316. Crossref, Web of Science, Google Scholar
33. P. N. Mohan, R. Umesh, S. Vasani and A. Chatterjee , A response spectra based intensity measure for seismic system reliability, in 14th Int. Conf. Applications of Statistics and Probability in Civil Engineering, ICASP14, 2023, Dublin, Ireland, pp. 1–8. Google Scholar
34. C. Kircher, G. Deierlein, J. Hooper, H. Krawinkler, S. Mahin, B. Shing and J. Wallace, Evaluation of the FEMA P-695 methodology for quantification of building seismic performance factors, Grant/Contract Reports (NISTGCR), National Institute of Standards and Technology, Gaithersburg, MD, (2010). Google Scholar
35. D. Systems, ABAQUS/Standard user’s manual, Version 6.9, Dassault Systèmes Simulia Corp, USA (2009). Google Scholar
36. MATLAB, Version R2022a, The MathWorks Inc., Natick, MA (2022). Google Scholar
37. Quantification of building seismic performance factors, FEMA-P695, U.S. Department of Homeland Security, FEMA (2009). Google Scholar
38. S. Mazzoni et al., OpenSees command language manual, Pac. Earthq. Eng. Res. Center 264(1) (2006) 137–158. Google Scholar
39. D. G. Lignos and H. Krawinkler , Deterioration modeling of steel components in support of collapse prediction of steel moment frames under earthquake loading, J. Struct. Eng. (Reston) 137(11) (2011) 1291. Crossref, Web of Science, Google Scholar
40. Q. T. Nguyen and R. Livaoğlu , The effect of the ratio of $λ$ $λ$ -shaped shear connectors on the flexural behavior of a reinforced concrete frame, Adv. Struct. Eng. 23(12) (2020) 2724–2740. Crossref, Web of Science, Google Scholar
41. S. Kaushik and K. Dasgupta , Seismic behavior of slab-structural wall junction of RC building, Earthq. Eng. Eng. Vib. 18 (2019) 331–349. Crossref, Web of Science, Google Scholar
42. C. ETABS , v16 user’s guide manual, Computers & Structures (Berkeley, CA, USA, 2016). Google Scholar