تأثیر شرایط مرزی بر عملکرد لرزه‌ای خارج از صفحه میان‌قاب مصالح بنایی با در نظر گرفتن اندرکنش رفتار داخل صفحه

مهندسی عمران فردوسی

مقاله 2، دوره 37، شماره 1 - شماره پیاپی 45، اردیبهشت 1403، صفحه 19-44   

نوع مقاله: مقاله پژوهشی

شناسه دیجیتال (DOI): 10.22067/jfcei.2024.79409.1187

نویسندگان

جلیل شفائی^{* 1}؛ دلارام استاد²

¹دانشکده مهندسی عمران، دانشگاه صنعتی شاهرود، شاهرود، ایران.

²دانشکده مهندسی عمران، دانشگاه صنعتی شاهرود، شاهرود، ایران

چکیده

خسارت‌های مشاهده شده در طی زمین لرزه‌های گذشته، نشان می‌دهد آسیب دیدگی میان‌قاب‌ها در داخل صفحه و کاهش سطح تماس میان‌قاب و قاب پیرامونی منجر به افزایش آسیب‌پذیری در خارج‌ از صفحه می‌شود. با توجه به شرایط متفاوت تماس میان‌قاب با قاب بتنی پیرامونی، اند‌رکنش و تأثیر رفتار خارج از صفحه برروی رفتار داخل صفحه یکی از موضوعات جدید در زمینه بررسی عملکرد لرزه‌ای میان‌قاب‌های مصالح بنایی می‌باشد. در این مقاله، تأثیر شرایط مرزی مختلف میان‌قاب با قاب بتن مسلح که عبارتند از چهار لبه متکی به قاب، سه لبه متکی به قاب، دو لبه افقی متکی به قاب و یک لبه متکی به قاب، با تحلیل سه نوع بارگذاری که عبارتند از: 1- بارگذاری خارج از صفحه تنها، 2- بارگذاری خارج از صفحه بعد از بارگذاری داخل صفحه، 3- بارگذاری داخل صفحه بعد از بارگذاری خارج از صفحه با استفاده از نرم افزار اجزای محدود ABAQUS ارزیابی شده است. نتایج نشان داد که عدم وجود اتصال مناسب بین ساختار قاب و میان‌قاب آسیب پذیری در جهت خارج از صفحه را افزایش می‌دهد و از فروپاشی آن‌ها جلوگیری نمی‌کند. آسیب قبلی ناشی از بارگذاری داخل صفحه که به حداکثر جابه‌جایی نسبی 3% رسیده است، می‌تواند حدود 70 درصد ظرفیت خارج از صفحه میان‌قاب را کاهش دهد؛ در نتیجه مقاومت و سختی تحت تاثیر شرایط مرزی و نوع بارگذاری قرار گرفته‌اند.

کلیدواژه‌ها

میان‌قاب مصالح بنایی؛ اندرکنش داخل و خارج از صفحه؛ شرایط مرزی؛ تحلیل اجزای محدود

مراجع

[1]     M. A. Najafgholipour, M. R. Maheri, P. B. Lourenço, “Capacity interaction in brick masonry under simultaneous in-plane and out-of-plane loads,” Construction and building materials, vol. 38, pp. 619-626, )2013(.

[2]     P. G. Asteris, L. Cavaleri, F. Di Trapani, A. K. Tsaris, “Numerical modelling of out-of-plane response of infilled frames: State of the art and future challenges for the equivalent strut macromodels,” Engineering Structures, vol. 132, pp. 110-122, )2017(.

[3]     S. Kadysiewski and K. M. Mosalam, “Modeling of unreinforced masonry infill walls considering in-plane and out-of-plane interaction,” Pacific Earthquake Engineering Research Center, Berkeley, )2009(.

 [4]    J. Dawe and C. Seah, “Out-of-plane resistance of concrete masonry infilled panels,” Canadian Journal of Civil Engineering, vol. 16, no. 6, pp. 854-864, )1989(.

[5]     P. Carydis, H. Mouzakis, J. Taflambas, and E. Vougioukas, “Response of infilled frames with brickwalls to earthquake motions,” Proceedings of the 10^th World Conference on Earthquake Engineering, pp. 2829-2834, )1992(.

[6] R. Angel, D. Abrams, D. Shapiro, J. Uzarski, M. Webster, “Behavior of reinforced concrete frames with masonry infills,” Civil Engineering Studies SRS-589, )1994(.

[7]     P. Negro and C. Taylor, “Effect of infills on the global seismic behaviour of R/C frames: results of pseudodynamic and shaking table tests,” in Proceedings of the ¹¹th World Conference on Earthquake Engineering, Pergamon, Jun, pp. 23-28, )1996(.

[8]     A. Dafnis, H. Kolsch, H- G. Reimerdes, “Arching in masonry walls subjected to earthquake motions,” Journal of Structural Engineering, vol. 128, no. 2, pp. 153-159, )2002(.

[9]     B. Ng andu, D. R. W. Martens, A. T. Vermeltfoort, “The contribution of CASIEL infill walls to the shear resistance of steel frames,” HERON-ENGLISH EDITION-, vol. 51, no. 4, p. 201, )2006(.

[10]   A. Tasnimi and E. Zomorodi, “The effect of onplane behavior on inplane interaction of URM infilled RC frame under lateral loads,” 14 ^th European Conference on Earthquake Engineering, )2010(.

[11]   S. Komaraneni, D. C. Rai, V. Singhal, “Seismic behavior of framed masonry panels with prior damage when subjected to out-of-plane loading,” Earthquake Spectra, vol. 27, no. 4, pp. 1077-1103, )2011(.

[12]   K. M. Dolatshahi, A. J. Aref, Computational, analytical and experimental modeling of masonry structures. University of at Buffalo the State University of New York, )2012(.

[13]   A. Furtado, H. Rodrigues, A. Arêde, H. Varum, “Experimental characterization of the in-plane and out-of-plane behaviour of infill masonry walls,” Procedia Engineering, vol. 114, pp. 862-869, )2015(.

[14]   M. Liu, Y. Cheng, and X. Liu, “Shaking table test on out-of-plane stability of infill masonry wall,” Transactions of Tianjin University, vol. 17, no. 2, pp. 125-131, )2011(.

[15]   O. Rabinovitch and H. Madah, “Finite element modeling and shake-table testing of unidirectional infill masonry walls under out-of-plane dynamic loads,” Engineering Structures, vol. 33, no. 9, pp. 2683-2696, )2011(.

[16]   M. F. P. Pereira, M. Pereira, J. Ferreira, and P. B. Lourenço, “Behavior of masonry infill panels in RC frames subjected to in plane and out of plane loads,” )2011(.

[17]   S. Hak, P. Morandi, and G. Magenes, “Out-of-plane experimental response of strong masonry infills,” in ²nd European conference on earthquake engineering and seismology, vol. 1, )2014(.

[18]   F. Akhoundi, G. Vasconcelos, P. B. Lourenço, C. A. O. F. Palha, and A. Martins, “Out-of-plane behavior of masonry infill walls,” )2015(.

[19]   F. Akhoundi, G. Vasconcelos, P. Lourenço, and L. Silva, “Out-of-plane response of masonry infilled RC frames: Effect of workmanship and opening,” in Brick and Block Masonry: pp. 1147-1154, )2016(.

 [20]  F. Akhoundi, G. Vasconcelos, P. Lourenço, “Experimental out-of-plane behavior of brick masonry infilled frames,” International Journal of Architectural Heritage, vol. 14, no. 2, pp. 221-237, )2020(.

[21]   I. S. Misir, O. Ozcelik, S. C. Girgin, U. Yucel, “The behavior of infill walls in RC frames under combined bidirectional loading,” Journal of Earthquake Engineering, vol. 20, no. 4, pp. 559-586, )2016(.

[22]   C. Wang, “Experimental investigation on the out-of-plane behaviour of concrete masonry infilled frames,” )2017(.

 [23]  F. Anić, D. Penava, L. Abrahamczyk, and V. Sarhosis, “A review of experimental and analytical studies on the out-of-plane behaviour of masonry infilled frames,” Bulletin of Earthquake Engineering, vol. 18, no. 5, pp. 2191-2246, )2020(.

[24]   M. Di Domenico, M. T. De Risi, P. Ricci, G. M. Verderame, G. Manfredi, “Empirical prediction of the in-plane/out-of-plane interaction effects in clay brick unreinforced masonry infill walls,” Engineering Structures, vol. 227, p. 111438, )2021(.

[25]   S. Timoshenko and S. Woinowsky-Krieger, Theory of plates and shells. McGraw-hill New York, Vol. 2, pp. 240-246, )1959(.

 [26]  A. W. Hendry, “The lateral strength of unreinforced brickwork,” The Structural Engineers , )1973(.

 [27]  A. Hendry and A. Kheir, “The lateral strength of certain brickwork panels,”  Proceedings of the Fourth International Brick Masonry Conference, p. 4. )1976(.

[28]   B. A. Haseltine, “Design of laterally loaded wall panels,” )1975(.

 [29]  E. L. McDowell, K. E. McKee,E. Sevin, “Arching action theory of masonry walls,” Journal of the Structural Division, vol. 82, no. 2, pp. 915-1-915-18, )1956(.

[30]   FEMA 356 F E.“Prestandard and commentary for the seismic rehabilitation of buildings,” Federal Emergency Management Agency: Washington, DC, USA, (2000).

[31]   A. Mansouri, M. S. Marefat, M. Khanmohammadi, “Experimental evaluation of seismic performance of low‐shear strength masonry infills with openings in reinforced concrete frames with deficient seismic details,” The Structural Design of Tall and Special Buildings, vol. 23, no. 15, pp. 1190-1210, (2014).

[32]   K. M. Dolatshahi and M. Yekrangnia, “Out‐of‐plane strength reduction of unreinforced masonry walls because of in‐plane damages,” Earthquake Engineering Structural Dynamics, vol. 44, no. 13, pp. 2157-2176, (2015).

[33]   B. Pantò, I. Caliò, P. B. Lourenço, “A 3D discrete macro-element for modelling the out-of-plane behaviour of infilled frame structures,” Engineering Structures, vol. 175, pp. 371-385, (2018).

[34]   P. Laurenco, J. G. Rots, and J. Blaauwendraad, “Two approaches for the analysis of masonry structures: micro and macro-modeling,” HERON, vol. 40, no. 4, (1995).

[35]   A. J. Aref and K. M. Dolatshahi, “A three-dimensional cyclic meso-scale numerical procedure for simulation of unreinforced masonry structures,” Computers & Structures, vol. 120, pp. 9-23, (2013).

[36]   D. S. Dugdale, “Yielding of steel sheets containing slits,” Journal of the Mechanics and Physics of Solids, vol. 8, no. 2, pp. 100-104, (1960).

[37]   G. I. Barenblatt, “The mathematical theory of equilibrium cracks in brittle fracture,” Advances in applied mechanics, vol. 7, pp. 55-129, (1962).

[38]   C. H. Zhai, J. C. Kong, X. H. Wang, “A finite element model for simulating out-of-plane behavior of masonry infilled RC frames,” Applied Mechanics and Materials, vol. 166, pp. 849-852, (2012).

[39]   K. M. Dolatshahi, A. J. Aref, M. Yekrangnia, “Bidirectional behavior of unreinforced masonry walls,” Earthquake Engineering Structural Dynamics, vol. 43, no. 15, pp. 2377-2397, (2014).

[40]   P. Lourenco, “Computational strategies for masonry structures//Ph. D. Thesis. Delft University of Technology. Delft. The Netherlands, (1996).

[41]   I. ABAQUS, “ABAQUS Theory User Manual,” ed: Version, (2014).

[42]   A. Committee, “Building code requirements for structural concrete (ACI 318-08) and commentary,” American Concrete Institute, (2008).

[43]   P. B. Lourenço, “A user/programmer guide for the micro-modeling of masonry structures” vol. 3, no. 1.31, p. 35, (1996).

[44]   J. Shafaei, A. Hosseini, and M. S. Marefat, “Seismic retrofit of external RC beam–column joints by joint enlargement using prestressed steel angles,” Engineering Structures, vol. 81, pp. 265-288, (2014).