The Influence of Ground Motion Duration on Maximum Displacement of Elasto-Plastic SDOFs

مهندسی عمران فردوسی

Article 12, Volume 35, Issue 1 - Serial Number 37, June 2022, Pages 75-88   

Document Type: Original Article

DOI: 10.22067/jfcei.2022.73042.1072

Authors

MohammadHossein Hajimohammadi¹; Horr Khosravi^{* 2}; Reza Dezvareh³

¹Department of Civil Engineering, Babol Noshirvani University of Technology, Babol, Iran.

²Department of Civil Engineering, Babol Noshirvani University of Technology, Babol, Iran

³Civil Engineering Department, , Babol Noshirvani University of Technology, Babol, Iran

Abstract

There is no Consensus among researchers about the influence of ground motion duration on the structural vulnerability. Most of disagreement is mainly due to considering different damage indices in different investigations. In this study, maximum displacement of structure due to ground motion duration is investigated. For this purpose, SDOF systems with P-Delta effect are subjected to spectrally matched record pairs. In the present study, a vast number of (more than 150000) nonlinear dynamic analysis is performed for SDOF models with 41 structural period from 1 to 5 second, 2 ductility reduction factor and 7 quantity of gravity load subjected to 146 spectrally matched ground motion pairs. The analysis results indicate that maximum displacement of structure under long duration and short duration records is almost equal, when no collapse has occurred. However, for large ductility demands, the number of collapse in ling duration ground motions is almost twice their short duration pairs.

Keywords

Ground Motion Duration; Spectrally Equivalent Records; Elasto-Plastic Behavior; Nonlinear Dynamic Analysis

References

1. Chai, Y. H., and Fajfar, P., "A Procedure for Estimating Input Energy Spectra for Seismic Design", Journal of Earthquake Engineering, Vol. 4, No. 4, pp. 539-561, (2000).
2. Shome, N., Cornell, C. A., Bazzurro, P., and Carballo, J. E., "Earthquakes, Records, and Nonlinear Responses", Earthquake Spectra, Vol. 14, 3, pp. 469-500, (1998).
3. Tremblay, R., Filiatrault, A., Bruneau, M., Nakashima, M., Prion, H. G. and DeVall, R., "Seismic Design of Steel Buildings: Lessons from the 1995 Hyogo-Ken Nanbu Earthquake", Canadian Journal of Civil Engineering, Vol. 23, 3, pp. 727-756, (1996).
4. Lau, D. L., Tang, A. and Pierre, J. R., "Performance of Lifelines during the 1994 Northridge Earthquake", Canadian journal of civil engineering, Vol. 22, No. 2, pp. 438-451, (1995).
5. Hancock, J. and Bommer, J. J., "A State-of-Knowledge Review of the Influence of Strong-Motion Duration on Structural Damage", Earthquake spectra, Vol. 22, No. 3, pp. 827-845, (2006).
6. Krawinkler, H., "Performance Assessment of Steel Components", Earthquake spectra, Vol. 3, No. 1, pp. 27-41, (1987).
7. Calado, L., Castiglioni, C. A. and Carydis, P., "Shaking Table Tests for Seismic Performance Evaluation of Steel Frames", Proceedings of the 12^th European Conference on Earthquake Engineering, London, (2002).
8. Mander, J. B., Pekcan, G.O.K.H.A.N. and Chen, S. S., "Low-Cycle Variable Amplitude Fatigue Modeling of Top-and-Seat Angle Connections", Engineering Journal, Vol. 32, No. 2, pp. 54-62, (1995).
9. Miner, M. A., "Cumulative Damage in Fatigue", Journal of Applied Mechanics, Transactions ASME, 12, No. 3, pp. 159– 164, (1945).
10. Hancock, J., "The Influence of Duration and the Selection and Scaling of Accelerograms in Engineering Design and Assessment", Doctoral dissertation, Imperial College London, (2006).
11. Chai, Y. H., "Incorporating Low‐Cycle Fatigue Model into Duration‐Dependent Inelastic Design Spectra", Earthquake Eng. Struct. Dynamics, Vol. 34, No. 1, pp. 83-96, (2005).
12. Housner, G. W., "Limit Design of Structures to Resist Earthquakes", Proceedings of the 1st World Conference of Earthquake Engineering, Berkeley, Calif, (1956).
13. Housner, G. W., "Intensity of Earthquake Ground Shaking Near the Causative Fault", Proceedings of the 3^rd World Conference on Earthquake Engineering,Berkeley, Calif , 94-115, (1965).
14. Rahnama, M. and Manuel, L., "The Effect of Strong Motion Duration on Seismic Demands", Proceedings of the 11^th World Conference on Earthquake Engineering, 23-28, (1996).
15. Hancock, J. and Bommer, J. J., "Using Spectral Matched Records to Explore the Influence of Strong-Motion Duration on Inelastic Structural Response", Soil Dynamics and Earthquake Engineering, Vol. 27, No. 4, pp. 291-299, (2007).
16. Jennings, P. C. and Husid, R., "Collapse of Yielding Structures During Earthquakes", Journal of the engineering Mechanics Division, Vol. 94, No. 5, pp. 1045-1065, (1968).
17. Eibl, J., Keintzel, E. and Vratsanou, V., "Determination of Earthquake Duration Dependent Behaviour Factors for Unreinforced Brick Masonry Panels by Nonlinear Time History Calculations",Proceedings of the 11^th World Conference on Earthquake Engineering, Acapulco, Mexico, (1996).
18. Mahin, S. A., "Effects of Duration and Aftershocks on Inelastic Design Earthquakes", Proceedings of the 7th World Conference on Earthquake Engineering, 677-680, (1980).
19. Liapopoulou, M., Bravo‐Haro, M. A., and Elghazouli, A. Y., "The Role of Ground Motion Duration and Pulse Effects in the Collapse of Ductile Systems", Earthquake Engineering & Structural Dynamics, Vol. 49, No. 11, pp. 1051-1071, (2020).
20. Barbosa, A. R., Ribeiro, F. L., and Neves, L. A., "Influence of Earthquake Ground‐Motion Duration on Damage Estimation: Application to Steel Moment Resisting Frames", Earthquake Engineering & Structural Dynamics, Vol. 46, No. 1, pp. 27-49, (2017).
21. Bravo-Haro, M. A., and Elghazouli, A. Y., "Influence of Earthquake Duration on the Response of Steel Moment Frames",Soil Dynamics and Earthquake Engineering, Vol. 115, pp. 634-651, (2018).
22. Hammad, A., and Moustafa, M. A., "Numerical Analysis of Special Concentric Braced Frames Using Experimentally-Validated Fatigue and Fracture Model under Short and Long Duration Earthquakes", Bulletin of Earthquake Engineering, Vol. 19, No. 1, pp. 287-316, (2021).
23. Hammad, A., and Moustafa, M. A., "Modeling Sensitivity Analysis of Special Concentrically Braced Frames under Short and Long Duration Ground Motions", Soil Dynamics and Earthquake Engineering, Vol. 128, pp. 105867, (2020).
24. Hammad, A., and Moustafa, M. A., "Numerical Analysis of Special Concentric Braced Frames Using Experimentally-Validated Fatigue and Fracture Model under Short and Long Duration Earthquakes", Bulletin of Earthquake Engineering, Vol. 19, No. 1, pp. 287-316, (2021).
25. Bhanu, V., Chandramohan, R., and Sullivan, T. J., "Influence of Ground Motion Duration on the Dynamic Deformation Capacity of Reinforced Concrete Frame Structures", Earthquake Spectra, Vol. 37, No. 4, pp. 2622-2637, (2021).
26. Rajabnejad, H., Hamidi, H., Naseri, S. A., and Abbaszadeh, M. A., "Effect of Intensity Measure on the Response of a 3D-Structure under Different Ground Motion Duration", International Journal of Engineering, Transactions B: Applications, Vol. 34, No. 10, pp. 2219-2237, (2021).
27. Fairhurst, M., Bebamzadeh, A., and Ventura, C. E., "Effect of Ground Motion Duration on Reinforced Concrete Shear Wall Buildings", Earthquake Spectra, Vol. 35, No. 1, pp. 311-331, (2019).
28. Pachla, F., Kowalska-Koczwara, A., Tatara, T., and Stypuła, K., "The Influence of Vibration Duration on the Structure of Irregular RC Buildings", Bulletin of Earthquake Engineering, Vol. 17, No. 6, pp. 3119-3138, (2019).
29. Pan, Y., Ventura, C. E., and Liam Finn, W. D., "Effects of Ground Motion Duration on the Seismic Performance and Collapse Rate of Light-Frame Wood Houses", Journal of Structural Engineering, Vol. 144, No. 8, pp. 04018112, (2018).
30. Panchireddi, B., Shekhar, S., and Ghosh, J., "Influence of Ground Motion Duration on the Seismic Vulnerability of Aging Highway Bridges", Structure and Infrastructure Engineering, article in press.
31. Shi, Y., Li, J., Qin, H., Zhong, Z., Wang, J., and Zhang, F., "Correlation Analysis of Ground Motion Duration Indexes and Nonlinear Seismic Responses of a Long-span Continuous Rigid-Frame Bridge with High-Rise Piers", Journal of Earthquake Engineering, article in press.
32. Todorov, B., and Billah, A. M., "Seismic Fragility and Damage Assessment of Reinforced Concrete Bridge Pier under Long-Duration, Near-Fault, and Far-Field Ground Motions", Structures, Vol. 31, pp. 671-685, (2021).
33. Panchireddi, B., Shekhar, S., and Ghosh, J., "Influence of Ground Motion Duration on the Seismic Vulnerability of Aging Highway Bridges", Structure and Infrastructure Engineering, article in press.
34. Molazadeh, M., and Saffari, H., "The Effects of Ground Motion Duration and Pinching-Degrading Behavior on Seismic Response of SDOF Systems", Soil Dynamics and Earthquake Engineering, Vol. 114, pp. 333-347, (2018).
35. Chandramohan, R., Baker, J. W., and Deierlein, G. G., "Quantifying the Influence of Ground Motion Duration on Structural Collapse Capacity Using Spectrally Equivalent Records", Earthquake Spectra, Vol. 32, No. 2, pp. 927-950, (2016).
36. Pourali, N., Khosravi, H., and Dehestani, M., "An Investigation of P-Delta Effect in Conventional Seismic Design and Direct Displacement-Based Design Using Elasto-Plastic SDOF Systems", Bulletin of Earthquake Engineering, Vol. 17, No. 1, pp. 313-336, (2019).