The Performance Investigation of Deformation and Energy Parameters in Seismic Damage Assessment of Steel Structures

Document Type : Research Paper

Authors

1 Ph.D. Candidate, Department of Civil Engineering, Mashhad Branch, Islamic Azad University, Mashhad, Iran

2 Ph.D. Candidate, Department of Civil Engineering, University of Sistan and Baluchestan, Zahedan, Iran

3 Department of Civil Engineering, Engineering Faculty, Garmsar Branch, Islamic Azad University, Garmsar, Iran

Abstract

The seismic behavior assessment of structures is carried out to estimate the damages caused by the earthquake. In recent years, with the advances of earthquake engineering, knowledge enhancement and experience in the seismic behavior of structures, novel methods have been proposed for evaluating the seismic behavior of structures and it needs to be defined as damage index. Which report the failure rate quantitatively and qualitatively. In many cases, the damage indices are dimensionless parameters whose amplitude is usually between zero for the no-damage state and one for the structural collapse state, and the values between these two are different failure states. Until now, various damage indices have been proposed based on various structural criteria such as: ductility, deformation, displacement, rotation, curvature, stiffness, softness, period, frequency, hysteresis energy or combined. Considering the characteristics of each one, selecting the appropriate damage index is a fundamental question for the design and suitability of the structure to estimate the failure rate with high reliability. In this study, in order to investigate the performance of deformation and energy parameters individually and in combined state (Park-Ang) in evaluation of seismic damage indices of steel structures, 6 moment steel frames with special ductility, regular geometry and 4, 7, 10, 15, 20 and 25 story were designed in SAP2000 software and nonlinear time history analyses were performed under near-fault records using OpenSees software. Then the values of the damage indices are calculated based on the deformation, energy and combined parameters. The results provide a quantitative assessment of the damage of the frames, stories and the role of these two parameters in numerical values of damage indices. The results show that the more effective role of the deformation of the elements in the seismic failure rate.

Keywords


[1]- Shiga, T., Shibata, A., and Takahashi, T., 1968, Earthquake damage and wall index of reinforced concrete buildings, Proc. Ohoku District Symposium., Architectural Institute of Japan, pp. 29-32.
[2]- Yang, Y., and Yang, L., 1980, Empirical Relationship between Damage to Multistory Brick Buildings And Strength of Walls During The Tangshan Earthquake, Proc. 7th World Conference On Earthquake Engineering, Vol. 6, Istanbul, pp 501-508.
[3]- Willliams, M. S., and Sexsmith, R. G., 1995, Seismic damage indices for concrete structures: a state-of-the-art review, Earthquake Spectra, Vol.ll, and No.2.
[4]- Ishiyama, Yuji, 2012, Introduction to Earthquake Engineering and Seismic Codes in the World.
[5]- Kazemi, H., Ashtiany, M., and Azarbakht, A., 2015, Development of Fragility Curves by using New Spectral Shape Indicators and a Weighted Damage Index: Case Study of the City of Mashhad, Iran, Journal of Earthquake Engineering and Structural Vibration, pp.18-32.
[6]- Whitman, R. V., Reed, J. W., and Hong, S. T., 1973, Earthquake Damage Probability Matrices, Proceedings of the Fifth World Conference on Earthquake Engineering, Rome, Italy.
[7]- Nakano, Y., and Okada, T., 1974, Reliability analysis on seismic capacity of existing reinforced concrete buildings in Japan, Journal of Structural and Construction Engineering, AIJ; 406, pp.37-43.
[8]- Stephens, J. E., Yao, J. T. P., 1987, Damage Assessment Using Response Measurements, Journal of Structural Engineering, ASCE. 113, 4, pp.787-801.
[9]-­ Bertero, V. and Bresler, Y., 2001, Improved Shaking and Damage Parameters for Post Earthquake Applications, Proceedings of the SMIP01 Seminar on Utilization on Strong Motion Data, Los Anjeles, California, September 12, p.1-22.
[10]- Banon, H., and Veneziano, D., 1982, Seismic Damage in Reinforced Concrete Frames, Earthquake Engineering aand Structural Dynamics, 10, pp.179-193.
[11]- Krawinkler, H. and Zohrei, M., 1983, Cumulative Damage in Steel Structures Subjected to Earthquake Ground Motions, Computing in Structure, 16(1-4), pp.531-54.
[12]- Park, Y. J, Reinhorn, A. M., and Kunnath, S. K., 1987, Inelastic Damage Analysis of Frame Shear Wall Structure, Technical Report NCEER 87-0008.
[13]-Park, Y. J., and Ang, A. H. S., 1985, Mechanistic Seismic Damage Model for Reinforced Concrete, Journal of Structural Engngineering, (ASCE), 111, 3, pp.722-739.
[14]- Roufaiel, M. S. L., and Meyer, C., 1987, Analytical Modelling of Hysteretic Behavior of R/CFrames, Journal of Structural Engngineering, 113, 3, pp.429-444.
[15]- Powell, G. H., and Allahabadi, R., 1998, Seismic damage prediction by deterministic methods: concept and procedures, Earthquake Engineering and Structural Dynamics, 16, pp.120-132.
[16]- Corteza, Y., 2000, Correlation of Building Damage with Indices of Seismic Ground Motion Intensity during the 1999 Chi-Chi, Taiwan Earthquake, International Workshop on annual Commemoration  of Chi-Chi Earthquake Taipei, Taiwan, R. O. C., September 18-20.
[17]- Bracci, J. M., Reinhorn, A. M., Mander, J. B., and Kunnath, S. K., 1989, Deterministic Model forSeismic Damage Evaluation of Reinforced Concrete Structures, Technical Report NCEER-89-0033, State University of New York, Buffalo.
[18]- Krawinkler, H., Nassar, A. A., 1992, Seismic Design based on Ductility and Cumulative Damage Demands and Capacities, Nonlinear Seismic Analysis and Design Reinforced Concrete Buildings, Edited by: Fajfar P., Krawinkler H., Elsevier Applied Science.
[19]- Kevil ,O., 2000, Classifications of Structural Types and Damage Patterns of  Buildings for Earthquake Field Investigation, Proc. of the 12th World Conf. of Earthquake Engineering, Auckland, New Zealand, 2000.
[20]- Daali, M. L., and Korol, R. M., 1996, Adequate ductility â steel beams under earthquake-type loading Engineering Structures, Earthquake Engineering and Structural Dynamics , 18, 2, pp.179-189.
[21]- Ghobarah, A., Abou-elfath, H., and Biddah, A., 1999, Response-based damage assessment of structures, Earthquake Engineering and Structural Dynamics, 28, pp.70-84.
[22]-­ Ghobarah, A. and  EI-Attar, M.,1998, Seismic performance evaluation of reinforced concrete buildings, 11 th European Conference on Earthquake Engineering, Balkema, Rotterdam.
[23]-­ Skjaerbaek, P. S., Nielsen, S. R. K., Kirkegaard, P. H., and Cakmak, A. S.,1998, Damage localization and quantification of earthquake excited RC- frames, Earthquake Engineering and Structural Dynamics, 27, pp.65-78.
[24]-­ Miyakoshi, j. and Hayashi, Y., 2000, Correlation of Building Damage with Indices of Seismic Ground Motion Intensity during the 1999 Chi-Chi, Taiwan Earthquake, International Workshop on annual Commemoration  of Chi-Chi Earthquake Taipei, Taiwan, R. O. C., September 18-20.
[25]-­Mikami, T., and Imura, H, 2001, Demand Spectra of Yield Strength and Ductility Factor to Satisfy the Required Seismic Performance Objectives, Proceeding of JSCE, No. 689/1-57, p. 333-342.
[26]-Papadopoulos, P., Mitsopoulou, E. and Athanatopoulou, A., 2002, Failure Indices for R/C Building Structures, 12th European Conference on Earthquake Engineering. Paper Reference 616, Elsevier Science Ltd.
[27]- Barghi, M., and Abasnia, R., 2004, Augury of RC columns destruction type in cyclic lateral load, Proc. 7th International Conference on Civil Eng,. Tehran, Iran, 2004.
[28]-Kianfar, A., Estekanchi, H. and Vafai, A., 2005, A study of damage indexes performance in seismic analysis of steel frames, Proceedings of the 2nd National Congress on Civil Engineering, IUST, Iran, 1025, pp.1-8, (in Persian).
[29]- Gerami, M., 2010, Study the Function of Deformation Energy Parameteric Assessing Seismic Damages in Steel Frames, Journal of Earthquake Engineering, pp.20-34.
[30]- Jeong, S. H., and Elnashai, A. S., 2006, New three-dimensional damage index for RC buildings with planarirregularities, Journal of Structural Engineering, 132(9), pp.1482-1490.
[31]-Ganjavi, B., Vaseghi Amiri, J., Ghodrati Amiri, G., and Sarvghad moghadam, A. R., 2014, Distribution of damage, absorption and loss of seismic energy in moment resisting RC frames (MDOF), Proceedings of the 2nd national congress on civil engineering, Iran University of Science and Technology, pp.5-12.
[32]- برقی، مصطفی، روح اله، رجبی، و رجبی، رضا، 1388، توسعه مدل شاخص خسارت Park - Ang و برنامه کامپیوتری IDARC-2D، نخستین کنفرانس بین المللی تکنولوژی بتن، تبریز، مرکز ملی مقاوم‌سازی، ص 1-8.
[33]- Kabir Sadeghi, A., 2011, Energy based structural damage index based on nonlinear numerical simulation of structures subjected to oriented lateral cyclic loading, International Journal of Civil Engineering, 9, 3, pp 155-164, Accession Number: WOS:000295205800002, IDS Number:824MK, ISSN: 1735-0522, September.
[34]- Cao, V. V., and Raonagh, H. R., 2014, Correlation between seismic parameters of far-fault motions and damage indices of low-rise reinforced concrete frames, soil dynamic and earthquake engineering 66, pp.102-112.
[35]- Jeong, G. D., 1998, The Effect of Earthquake Duration on the Damage ofStructures, Earthquake Engineering and Structural Dynamics, 16, pp.1201-1211.
[36]- Murik, A., and Simon, R., 2014, Use of constant cumulative ductility spectra for performance-based seismic design of ductile frames, 13th U.S. National Conference on Earthquake Engineering, pp.20-28.
[37]-Rajeev, P., and Wijesundara, K. K., 2014, Energy-based damage index for concentrically braced steel structure using continuous wavelet transform, Journal of Constructional Steel Research, 103, pp.241-250.
[38]- شعبانی افراپلی, سمیه و عبداله زاده،  غلامرضا، 1394، تاثیر میراگرهای ویسکوالاستیک بر کاهش خسارت لرزه‌ای قاب‌های فولادی تحت زلزله‌های حوزه دور، دومین کنفرانس بین المللی ژئوتکنیک و مهندسی لرزه‌ای شهری، تبریز، شرکت دانش بنیان لرزه پایدار آذربایجان زیر نظر دانشگاه تبریز، ص 1-8.
[39]- Emami, A. R., and Halabian, A. M., 2015, Spatial distribution of ductility demand and damage index in 3D RC frame structures considering directionality effects, The Structural Design of Tall and Special Buildings 24, 16, pp.941-961.
[40]- عباسی, شهرام و میرزایی، رحمان، 1395، ارزیابی لرزه‌ای ساختمانهای بتنی نسبت به نوع شاخصهای خرابی و رسم منحنی شکنندگی، دومین کنفرانس بین المللی یافته های نوین پژوهشی در مهندسی عمران، معماری و مدیریت شهری، تهران، کنفدراسیون بین المللی مخترعان جهان (IFIA)،  دانشگاه جامع علمی کاربردی، ص 4-10 .
[41]- Mirzaaghabeik, H., and  Vosoughifar, H. R., 2016, Comparison between quality and quantity seismic damage index for LSF systems, Engineering Science and Technology, an International Journal, 19, 1, P.497–510.
[42]- Sadeghi, A., Kazemi, H., and Hashemi, S. V., 2018, Prioritization and assessment of the existing damage indices in steel moment-resisting framed structures, Journal of Civil Engineering and Structures, 2, 3, pp.20-42.
[43]- Kumar, M., Stafford, P. J. and Elghazouli, A. Y., 2013, Influence of ground motion characteristics on drift demands in steel moment frames designed to Eurocode 8, Engineering Structure, pp.52:502–517.
 [44]- مبحث ششم مقررات ملی ساختمان، 1392، بارهای وارد بر ساختمان، دفتر تدوین و ترویج مقررات ملّی ساختمان، معاونت نظام مهندسی و اجرای ساختمان، تهران، نشر توسعه ایران. 
[45] استاندارد2800، 1393، طرّاحی ساختمان­ها در برابر زلزله، ویرایش چهارم، مرکز تحقیقات ساختمان و مسکن، وزارت مسکن و شهرسازی.
[46]- مبحث دهم مقررات ملی ساختمان، 1392، طرح و اجرای ساختمان­های فولادی، دفتر تدوین و ترویج مقررات ملّی ساختمان، معاونت نظام مهندسی و اجرای ساختمان، تهران، نشر توسعه ایران.
[47]- SAP2000, Linear and Nonlinear Static and Dynamic Analysis and Design of Three Dimentional Structures, Computers and Structures, Inc.Berkeley, California.
[48]- Mazzoni, S. and Mckenna, F., Scott, M. H. and Fenves, G. L., 2006, OpenSEES Command Language Manual, http://OpenSEES. Berkeley.edu/OPENSEES/manuals/user manual/OpenSEES Command Language Manual June 2006.pdf.
[49]- PEER Ground Motion Database, 2006, Pacific Earthquake Engineering Research Centre, Web Site: .http://peer.berkeley.edu/peer_ground_motion_database.