Journal of Structural and Construction Engineering

Journal of Structural and Construction Engineering

Developing a damage index based on plastic strain energy and fragility curves based on this index in reinforced concrete bending frames.

Document Type : Original Article

Authors
1 Civil Engineering Department, SemnanBranch, Islamic Azad University, Semnan, Iran
2 Professor, Civil Engineering Department, Semnan Branch, Islamic Azad University, Semnan, Iran
3 Civil Engineering Department, Semnan Branch, Islamic Azad University, Semnan, Iran
Abstract
The aim of this research is to provide a simple method for calculating the damage index and also the development of fragility based on this index in 3, 6 and 9 story reinforced concrete structures with a special bending frame system. After the initial design, the structures have been modeled non-linearly in PERFORM-3D software and analyzed by IDA by 20 near-field records. The proposed damage index is defined as the amount of strain energy lost in the structure in each record to the amount of energy at the instability point of the structure in the same record. In order to reach these two important parameters, incremental dynamic analysis should be performed considering the wasted strain energy as the engineering demand parameter (EDP). In order to evaluate the efficiency and accuracy of this method, the damage index and fragility curves were also calculated based on the Park-Ang method and the results were compared with the presented method. Also, low, medium, high and complete damage levels have been calculated by calibrating the presented method with the Park-Eng method. The results show that the fragility obtained by the Park-Eng method is very similar to the simple method presented in this research. For example, 50% fragility in a three-story structure, with the method presented in this research in four levels of low, medium, high, and complete damage, respectively, at the maximum accelerations of 0.45, 0.7, 1, and 1.15g, and with the Park-Eng method in Maximum accelerations of 0.6, 0.75, 0.95 and 1.2 g occur.
Keywords

Subjects


1.         Goodarzi, M.J., M. Moradi, P. Jalali, M. Abdolmohammadi, and S.M. Hasheminejad,(2023) Fragility assessment of an outrigger structure system based on energy method. The Structural Design of Tall and Special Buildings. 32(11-12), p. e2017.
2.         Moradi, M., H.R. Tavakoli, and G.R. Abdollahzadeh,(2021) Comparison of steel and reinforced concrete frames’ durability under fire and post-earthquake fire scenario. Civil Engineering Infrastructures Journal. 54(1), p. 145-168.
3.         Moradi, M. and M. Abdolmohammadi,(2020) Seismic fragility evaluation of a diagrid structure based on energy method. Journal of Constructional Steel Research. 174, p. 106311.
4.         Goodarzi, M.J., H. Najafi, and M. Moradi,(2022) Energy-based analysis of a steel moment frame with viscous damper under blast loading. Journal of Structural and Construction Engineering. 9(5), p. 140-162.
5.         Tavakoli, H. and M.M. Afrapoli,(2018) Robustness analysis of steel structures with various lateral load resisting systems under the seismic progressive collapse. Engineering Failure Analysis. 83, p. 88-101.
6.         Moradi, M. and H. Tavakoli,(2020) Proposal of an Energy Based Assessment of Robustness Index of Steel Moment Frames under the Seismic Progressive Collapse. Civil Engineering Infrastructures Journal. 53(2), p. 277-293.
7.         Tavakoli, H., M. Moradi, M. Goodarzi, and H. Najafi,(2022) Outrigger braced system placement effect on seismic collapse probability of tall buildings. Civil Engineering Infrastructures Journal. 55(2), p. 259-276.
8.         Moradi, M. and H. Tavakoli,(2020) Energy Balance on Steel Structure with Pall Damper under Blast Loading. Amirkabir Journal of Civil Engineering. 52(10), p. 2415-2434.
9.         Hait, P., A. Sil, and S. Choudhury,(2020) Seismic damage assessment and prediction using artificial neural network of RC building considering irregularities. Journal of Structural Integrity and Maintenance. 5(1), p. 51-69.
10.       Mohsenian, V. and A. Mortezaei,(2019) New proposed drift limit states for box-type structural systems considering local and global damage indices. Advances in Structural Engineering. 22(15), p. 3352-3366.
11.       Moradi, M., H. Tavakoli, and G. Abdollahzade,(Probabilistic evaluation of failure time of reinforced concrete frame in post‐earthquake fire scenario. Structural Concrete.
12.       Naseri, A., A. MirzaGoltabar Roshan, H. Pahlavan, and G. Ghodrati Amiri,(2022) Numerical analysis and vulnerability assessment of horizontally curved multiframe RC box-girder and CFRP retrofitting of existing bridges. ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part A: Civil Engineering. 8(3), p. 04022031.
13.       Naseri, A., A.M. Roshan, H. Pahlavan, and G.G. Amiri,(2020) Probabilistic seismic assessment of RC box-girder bridges retrofitted with FRP and steel jacketing. Coupled systems mechanics. 9(4), p. 359-379.
14.       Naseri, A., A.M.G. Roshan, H. Pahlavan, and G.G. Amiri,(2020) Effects of curvature radius on vulnerability of curved bridges subjected to near and far-field strong ground motions. Struct. Monit. Maint. 7(4), p. 367-392.
15.       Shamekhi Amiri, M., A. Naseri, and M. Messgarpour Amiri,(2021) Seismic Vulnerability Assessment of Reinforced Concrete Structures Equipped with Eccentrically Braced Frames Having Vertical Link. Amirkabir Journal of Civil Engineering. 53(1), p. 273-296.
16.       Naseri, A., H. Pahlavan, and G. Ghodrati Amiri,(2017) Probabilistic seismic assessment of RC frame structures in North of Iran using fragility curves. Journal of Structural and Construction Engineering. 4(4), p. 58-78.
17.       Madani, H.M. and K.M. Dolatshahi,(2020) Strength and stiffness estimation of damaged reinforced concrete shear walls using crack patterns. Structural Control and Health Monitoring. 27(4), p. e2494.
18.       Cosenza, E. and G. Manfredi,(2000) Damage indices and damage measures. Progress in Structural Engineering and Materials. 2(1), p. 50-59.
19.       Park, Y.-J., A.H. Ang, and Y.K. Wen,(1987) Damage-limiting aseismic design of buildings. Earthquake spectra. 3(1), p. 1-26.
20.       Kunnath, S. and C. Jenne. Seismic damage assessment of inelastic RC structures. in 5th US national conference on earthquake engineering. 1994. EERI Chicago, Illinois.
21.       Ghosh, S., D. Datta, and A.A. Katakdhond,(2011) Estimation of the Park–Ang damage index for planar multi-storey frames using equivalent single-degree systems. Engineering Structures. 33(9), p. 2509-2524.
22.       Kratzig, W. Damage evolution in reinforced concrete members under cyclic loading. in Proceedings 5th International Conference on Structural Safety and Reliability (ICOSSAR 89). 1989.
23.       Kaboodkhani, M., H. Bayesteh, and M. Hamidia,(2024) Energy-based damage assessment of RC frames with non-seismic beam-column joint detailing using crack image processing techniques. Engineering Failure Analysis. 155, p. 107723.
24.       Mazloom, M. and N. Fallah,(2023) Seismic vulnerability assessment of existing rc moment frames using a new stiffness based damage index. International Journal of Engineering. 36(5), p. 1000-1011.
25.       Ibrahim, A. and D. Makhloof,(2023) Developed drift damage index-based failure criterion for framed-wall structure system. Engineering Failure Analysis. 145, p. 107052.
26.       Zhang, H., X. Cheng, Y. Li, D. He, and X. Du,(2023) Rapid seismic damage state assessment of RC frames using machine learning methods. Journal of Building Engineering. 65, p. 105797.
27.       Massumi, A. and M. Rahmati Selkisari,(2023) Estimation of the seismic damage potential of RC frames using seismic parameters. International Journal of Civil Engineering. 21(3), p. 461-477.
28.       Bastami, M. and B. Ebrahimi,(2019) Modification of Park-Ang Damage Index to Accommodate Effect of Aftershocks on RC Structures. Journal of Seismology and Earthquake Engineering. 21(4), p. 21-35.
29.       Payganeh, M.B. and A. Mortezaei,(2020) Seismic damage assessment of RC buildings subjected to the rotational ground motion records considering soil-structure interaction. Journal of Rehabilitation in Civil Engineering. 8(2), p. 62-80.
30.       Parisi, F. and N. Augenti,(2012) Influence of seismic design criteria on blast resistance of RC framed buildings: A case study. Engineering Structures. 44, p. 78-93.
31.       Kang, J.D., et al.,(2023) Shaking table tests of a full‐scale 10‐story reinforced‐concrete building (2015). Phase II: Seismic resisting system. Earthquake Engineering & Structural Dynamics. 52(6), p. 1932-1955.
32.       Bilgin, H. and R. Uruçi,(2018) Effects of structural irregularities on low and mid-rise RC building response. Challenge Journal of Structural Mechanics. 4(2), p. 33-44.
33.       Asadi, P. and I. Hajirasouliha,(2020) A practical methodology for optimum seismic design of RC frames for minimum damage and life-cycle cost. Engineering Structures. 202, p. 109896.
34.       Abdollahzadeh, G. and H. Faghihmaleki,(2017) Seismic-explosion risk-based robustness index of structures. International Journal of Damage Mechanics. 26(4), p. 523-540.
35.       BSSC, P.,(2000) Commentary for the seismic rehabilitation of buildings (FEMA-356). Federal Emergency Management Agency.
36.       Apritasari, D., J.I. Rastandi, M. Orientilize, and B. Sentosa. Effect of Hinge Properties on Nonlinear Analysis of Eccentrically Steel Braced Frames. in IOP Conference Series: Materials Science and Engineering. 2020. IOP Publishing.
37.       Moradi, M., H. Tavakoli, and G. Abdolahzade,(2021) Sensitivity analysis of RC frame failure time in fire conditions after removal column under progressive collapse. Journal of Structural and Construction Engineering. 8(2), p. 264-279.
38.       Kalateh-Ahani, M. and S. Amiri. A Park-Ang damage index-based framework for post-mainshock structural safety assessment. in Structures. 2021. Elsevier.
39.       Moradi, M., H. Tavakoli, and G.R. Abdollahzadeh,(2022) Collapse probability assessment of a 4-Story RC frame under post-earthquake fire scenario. Civil Engineering Infrastructures Journal. 55(1), p. 121-137.
40.       Daei, A., M. Poursha, and M. Zarrin,(2022) Seismic performance evaluation of code-compliant rc moment-resisting frame buildings subjected to near-fault pulse-like and non-pulse-like ground motions. Journal of Earthquake Engineering. 26(10), p. 5058-5085.
41.       Manfredi, V. and A. Masi,(2018) Seismic strengthening and energy efficiency: Towards an integrated approach for the rehabilitation of existing RC buildings. Buildings. 8(3), p. 36.
42.       Zhang, Y., X. Ouyang, B. Sun, Y. Shi, and Z. Wang,(2022) A comparative study on seismic fragility analysis of RC frame structures with consideration of modeling uncertainty under far-field and near-field ground motion excitation. Bulletin of Earthquake Engineering, p. 1-33.
43.       Li, R.-H., H.-N. Li, and C. Li,(2018) Seismic performance assessment of RC frame structures subjected to far-field and near-field ground motions considering strain rate effect. International Journal of Structural Stability and Dynamics. 18(10), p. 1850127.
44.       Manafpour, A.R. and P. Kamrani,(2019) Performance capacity of damaged RC SDOF systems under multiple far-and near-field earthquakes. Soil Dynamics and Earthquake Engineering. 116, p. 164-173.
45.       Kiani, J. and M. Khanmohammadi,(2015) New approach for selection of real input ground motion records for incremental dynamic analysis (IDA). Journal of Earthquake Engineering. 19(4), p. 592-623.
46.       Vamvatsikos, D. and C.A. Cornell. The incremental dynamic analysis and its application to performance-based earthquake engineering. in Proceedings of the 12th European conference on earthquake engineering. 2002.
47.       Shome, N. and C. Cornell,(1999) Probabilistic seismic demand analysis of nonlinear structures. RMS Program. Report No. RMS35, Stanford University, Stanford, CA, USA.
48.       Council, A.T., Quantification of building seismic performance factors. 2009: US Department of Homeland Security, FEMA.
49.       Moradi, M., H. Tavakoli, and G. AbdollahZade,(2020) Sensitivity analysis of the failure time of reinforcement concrete frame under postearthquake fire loading. Structural Concrete. 21(2), p. 625-641.
50.       Moradi, M., H. Tavakoli, and G. Abdollahzade,(2024) Probabilistic evaluation of failure time of reinforced concrete frame in post‐earthquake fire scenario. Structural Concrete. 25(5), p. 3487-3504.
51.       Khan, M.S., A. Basit, and N. Ahmad. A simplified model for inelastic seismic analysis of RC frame have shear hinge in beam-column joints. in Structures. 2021. Elsevier.
52.       Lavaei, M.H., E.M. Dehcheshmeh, P. Safari, V. Broujerdian, and A.H. Gandomi,(2023) Reliability-based design optimization of post-tensioned self-centering rocking steel frame structures. Journal of Building Engineering. 75, p. 106955.
53.       Datta, D. and S. Ghosh,(2008) Uniform hazard spectra based on Park-Ang damage index. Journal of Earthquake and Tsunami. 2(03), p. 241-258.
54.       Pedone, L., R. Gentile, C. Galasso, and S. Pampanin,(2023) Energy-based procedures for seismic fragility analysis of mainshock-damaged buildings. Frontiers in Built Environment. 9, p. 1183699.
Volume 12, Issue 06 - Serial Number 95
September 2025
Pages 282-304

  • Receive Date 31 August 2024
  • Revise Date 16 November 2024
  • Accept Date 24 December 2024