ارائه روش المان‌های بزرگ برای تحلیل میانقاب های بنایی تحت بارگذاری جانبی درون صفحه

نوع مقاله : پژوهشی اصیل (کامل)

نویسندگان
محمدموسی احمدوند
احمد ملکی
مسعود پوربابا
دانشکده فنی مهندسی، گروه مهندسی عمران، واحد مراغه، دانشگاه آزاد اسلامی، مراغه، ایران
10.22034/25.4.2
چکیده


اطلاع از نحوه تاثیر میانقاب­های بنایی بر رفتار قاب­های خمشی از اهمیت زیادی برخوردار بوده و باید تاثیر پارامترهای مختلف بر نحوه اندرکنش قاب و میانقاب بنایی به خوبی مشخص گردد. با این کار، طراحی سازه ها و اجزا متصل به آنها با دقت بهتری انجام شده و هزینه نهایی طرح نیز کاهش، و امنیت جانی ساکنین افزایش خواهد یافت. به دلیل محدودیت­های موجود در مدل­های عددی پیشین و همچنین هزینه­های زیاد مدل­های آزمایشگاهی، بررسی جامعی به منظور شناخت تاثیر پارامترهای مختلف بر رفتار درون صفحه میانقاب بنایی و عملکرد آن بر قاب خمشی پیرامون در دسترس نبوده و نیاز به ارائه روشی دقیق، سریع، جامع و قابل فهم به منظور ارزیابی رفتار میانقاب بنایی تحت بارگذاری درون صفحه کاملاً احساس می­شود. در این تحقیق سعی برآن است مدلی جهت بررسی رفتار غیرخطی میانقاب­های بنایی و اندرکنش آنها با قاب اصلی توسعه داده شود. در مدل پیشنهادی از المان­های خرپایی و همگن­سازی مصالح بنایی بهره برده شده که این امر امکان مدلسازی و تحلیل میانقاب­های بنایی را در نرم­افزارهای تجاری قابل دسترس، فراهم می­کند. این روش با وجود سادگی و نیاز به تعداد حداقل ورودی­ها، قادر به ارائه نتایج جامعی از وضعیت سازه در مرحله غیرخطی، شامل منحنی بار-تغییر مکان و نهایتاً سازوکار شکست سازه می­باشد. می­توان گفت ارزیابی قابلیت این روش در تعیین پاسخ­های میانقاب بنایی با سهولت و دقت بالا از نوآوری­های این تحقیق می­باشد. نتایج این تحقیق می­تواند به آشنایی جامعه مهندسی در درک رفتار میانقاب­های بنایی و اندرکنش آن­ها با قاب سازه و همچنین عوامل تاثیر گذار بر رفتار آن­ها کمک نماید. همچنین این نتایج می­تواند در توسعه آیین­نامه­ها و استانداردهای سازه­های بنایی در آینده جهت شناخت بیشتر رفتار میانقاب­های بنایی موثر واقع گردد.

کلیدواژه‌ها

موضوعات

عنوان مقاله English

Developing a macro-element method for the analysis of masonry infill walls under in-plane lateral loading

نویسندگان English

Mohammad Mosa Ahmadvand
ahmad maleki
Masoud Pourbaba
Department of Civil Engineering, Maragheh Branch, Islamic Azad University, Maragheh, Iran
چکیده English

Understanding the impact of masonry infill walls on the behavior of moment frames is of paramount importance in the field of structural engineering. A thorough investigation is essential to gain insights into the complex interplay between various parameters and their effects on the flexural frames surrounding masonry infills. Unfortunately, the current state of knowledge is hindered by the absence of comprehensive exploration, partly attributed to constraints in existing numerical models and the prohibitively high costs associated with experimental studies. There is an urgent need to delineate the influence of diverse parameters on the dynamic interaction between frames and masonry infill walls. This understanding is critical for optimizing the accuracy of structural and component designs, ultimately leading to a reduction in project costs and an enhancement of resident safety. Although numerical models have been employed in the past, these models have limitations, and experimental studies, on the other hand, are costly, creating a need for a fast, accurate, and comprehensive method to evaluate masonry infill walls under in-plane loading. To address these limitations, there is a pressing demand for a swift, precise, and comprehensive evaluation method specifically tailored to assess the performance of masonry infill walls under in-plane loading conditions. Such a method would not only overcome the drawbacks of existing numerical models but also provide a cost-effective alternative to traditional experimental studies, allowing for a more expansive exploration of the multifaceted interactions between moment frames and masonry infills. The development of such a methodology holds the key to advancing our understanding of structural dynamics and ensuring the resilience and safety of built environments. The current research aims to develop a model that explores the nonlinear behavior of masonry infill walls and their interaction with the surrounding frame. The proposed model utilizes truss elements and material homogenization, allowing for modeling and analysis in commercially available software. The idea of this method is to simplify the typically 2D problem of masonry infilled frames under in-plane loading and reducing the infill and the surrounding frame to assemblages of braces and axial members, which is called piers, both exhibiting a mono-dimensional non-linear behavior with softening. Despite its simplicity and minimal input requirements, this method delivers comprehensive results on the structure's state in the nonlinear stage, including load-displacement curves and failure mechanisms. The method's ability to determine responses of masonry infill walls with ease and high accuracy is an innovative aspect of this research. Moreover, the proposed method can be readily implemented in widely used commercial software, displaying remarkable robustness in handling non-linear behavior and demonstrating swift convergence, even when significant global softening occurs. In the proposed method, the masonry infill is modeled as a regular set of vertical and inclined bracing members. Vertical members are referred to as "piers" and inclined members are known as "braces". The outcomes of this research have the potential to enhance the engineering community's understanding of masonry infill walls and their interaction with structural frames, shedding light on influencing factors. Furthermore, these results may contribute to the future development of regulations and standards for masonry structures, offering improved insights into the behavior of masonry intermediate frames.

کلیدواژه‌ها English

Masonry infill
Macro element method
Nonlinear Analysis
Truss-based method
[1] FEMA 356, Prestandard for the Seismic Rehabilitation of buildings, Federal Emergency Management agency, Second Draft,March 22, 2000.
[2] دستورالعمل بهسازی ساختمان‌های موجود، نشریه 360، دفتر امور فنی و تعیین معیارها و کاهش خطرپذیری، سازمان مدیریت و برنامه‌ریزی کشور، 1385.
[3] فرشچی، ح.، و مقدم، ع.، بررسی آزمایشگاهی- عددی رفتار چرخ های قاب مهاربندی شده با میانقاب مصالح بنایی و بدون میانقاب، مجله علمی- پژوهشی زلزله شناسی و مهندسی زلزله، سال 9، شماره 4، 1394.
[4] گزارش فوری مقدماتی زمین لرزه بم پنجم دیماه 1382، مرکز تحقیقات ساختمان و مسکن، گزارش شماره 1 و 2، وزارت راه و شهرسازی، 1382.
[5] کنفرانس آزاد (زلزله 31 خرداد 1369 منجیل)، مرکز تحقیقات ساختمان و مسکن، وزارت راه و شهرسازی، 1369.
[6] گزارش مصالح به کار رفته در مناطق شهری سرپل ذهاب، مرکز تحقیقات ساختمان و مسکن، وزارت راه و شهرسازی، 1396.
[7] Madan, A., Rainorn, M., Mander, J., “Modelling of Masonary Infill Panels for Structrual Analysis”, Journal of Structrual Engineering, Vol. 123, No.10, 1997.
[8] Smith, S., Carter, C., “A Method of Analysis For Infill Frames”, Instnt of Civil Engineers, London, Vol. 44, pp. 31-48, 1969.
[9] Mainstone, R., “On the Stiffness and Strength of Infilled Frames”, Supplement 4, paper 7360s, Trans of Instn. Of Civil Engineers, 1971.
[10] Kwan, K., Liauw, T., “Unified Plastic Analysis for Infilled Frames”, Journal of Structrual Engineering, Vol. 111, No.7, pp.1427-1448, 1983.
[11] Yorulmaz, M., and M. Sozen. Behavior of single-story reinforced concrete frames with filler walls. Civil Engineering Studies SRS-337. Champaign, IL: Univ. of Illinois, (1968). Engineering Experiment Station, College of Engineering, Univ. of Illinois at Urbana-Champaign.
[12] Fiorato, A. E., M. A. Sozen, and W. L. Gamble. An investigation of the interaction of reinforced concrete frames with masonry filler walls. Civil Engineering Studies SRS-370. Champaign, IL: Univ. of Illinois Engineering Experiment Station, College of Engineering, Univ. of Illinois at Urbana-Champaign, (1970).
[13] Abdul-Kadir, M. R. “The structural behaviour of masonry infill panels in framed structures.” Ph.D. dissertation, Dept. of Civil Engineering and Building Science, Univ. of Edinburgh, (1974).
[14] Leuchars, J. M., and J. C. Scrivener. “Masonry infill panels subjected to cyclic in-plane loading.” Bull. N. Z. Nat. Soc. Earthquake Eng. 9 (2): (1976),122–131.
[15] Zarnic, R., and M. Tomazevic. “Study of the behaviour of masonry infilled reinforced concrete frames subjected to seismic loading.” In Proc., 7th Int. Conf. on Brick Masonry. Melbourne: Brick Development Research Institute, (1985).
[16] Dawe, J. L., and C. K. Seah. “Behaviour of masonry infilled steel frames.” Can. J. Civ. Eng. 16 (6): 865–876. https://doi.org/10 .(1989),1139/l89-129.
[17] Angel, R. A., P. Daniel, D. Shapiro, J. Uzarski, and M. Webster. Behavior of reinforced concrete frames with masonry infills. Civil Engineering Studies SRS-589. Champaign, IL: Univ. of Illinois Engineering Experiment Station, College of Engineering, Univ. of Illinois at Urbana-Champaign, (1994).
[18] Haider, S. “In-plane cyclic response of reinforced concrete frames with unreinforced masonry infills.” Ph.D. dissertation, Dept. of Civil and Environmental Engineering, Rice University, (1995).
[19] Mehrabi, A. B., P. Benson Shing, M. P. Schuller, and J. L. Noland. “Experimental evaluation of masonry-infilled RC frames.” J. Struct. Eng. 122 (3): 228–237. https://doi.org/10.1061/(ASCE)0733-9445 (1996)122:3(228).
[20] Combescure, D., F. Pires, P. Cerqueira, and P. Pegon. “Test on masonry Infilled RC frames and its numerical interpretation.” In Proc., 11th World Conf. on Earthquake Engineering. Oxford, UK: Pergamon, (1996).
[21] Mosalam, K., R. N. White, and P. Gergely. “Static response of infilled frames using quasi-static experimentation.” J. Struct. Eng. 123 (11): 1462–4169. https://doi.org/10.1061/(ASCE)0733-9445(1997)123:11(1462).
[22] Pires, F., R. Bairrão, A. Campos-Costal, E. Coelhoi, and J. Rodrigues. “Behavior of masonry infilled R/C frames under horizontal loading experimental results.” In Proc., 11th Int. Brick/Block Masonry Conf. Peking, China: China Association for Engineering Construction
Standardization, (1997).
[23] Crisafulli, F. J. “Seismic behaviour of reinforced concrete structures with masonry infills.” Ph.D. dissertation, Dept. of Civil Engineering, Univ. of Canterbury, (1997).
[24] Flanagan, R. D., and R. M. Bennett. “In-plane behavior of structural clay tile infilled frames.” J. Struct. Eng. 125 (6): 590–599. https://doi.org/10.1061/(ASCE)0733-9445(1999)125:6(590).
[25] Waly, A. A. “Experimental and analytical work on the seismic performance of different types of masonry infilled reinforced concrete frames under cyclic loading.” Master’s thesis, Graduate School of Natural and Applied Sciences, Dokuz Eylül University, (2000).
[26] Al-Chaar, G., M. Issa, and S. Sweeney. “Behavior of masonry infilled nonductile reinforced concrete frames.” J. Struct. Eng. 128 (8): 1055–1063. https://doi.org/10.1061/(ASCE)0733-9445(2002)128:8(1055).
[27] Colangelo, F. “Pseudo-dynamic seismic response of reinforced concrete frames infilled with non-structural brick masonry.” Earthquake Eng. Struct. Dyn. 34 (10): 1219–1241. https://doi.org/10.1002/eqe.477, (2005).
[28] Anil, Ö., and S. Altin. “An experimental study on reinforced concrete partially infilled frames.” Eng. Struct. 29 (3): 449–460. https://doi.org/10.1016/j.engstruct.2006.05.011, (2007).
[29] Calvi, G. M., and D. Bolognini. “Seismic response of reinforced concrete frames infilled with weakly reinforced masonry panels.” J. Earthquake Eng. 5 (2): 153–185. https://doi.org/10.1080/13632460109350390, (2008).
[30] Kakaletsis, D. J., and C. G. Karayannis. “Influence of masonry strength and openings on infilled R/C frames under cycling loading.” J. Earthquake Eng. 12 (2): 197–221. https://doi.org/10.1080/13632460701299138, (2008).
[31] Blackard, B., K. Willam, and M. Sivaselvan. Experimental observations of masonry infilled reinforced concrete frames with openings. Special Publication SP-265. Farmington Hills, MI: American Concrete Institute, (2009).
[32] Billington, S. L., M. A. Kyriakides, B. Blackard, K. Willam, A. Stavridis, and P. B. Shing. “Evaluation of a sprayable, ductile cement-based composite for the seismic retrofit of unreinforced masonry infills.” In Proc., ATC and SEI 2009 Conf. on Improving the Seismic Performance of Existing Buildings and Other Structures. Reston, VA: ASCE.
[33] Tizapa, S. S. “Experimental and numerical study of confined masonry walls under in-plane loads. Case: Guerrero State (Mexico).” Ph.D. dissertation, École Doctorale Materiaux-Ouvrages-Durabilité- Environnement-Structures, Université Paris-Est, (2009).
[34] Baran, M., and T. Sevil. “Analytical and experimental studies on infilled RC frames.” Int. J. Phys. Sci. 5 (13): 1981–1998, (2010).
[35] Tasnimi, A. A., and A. Mohebkhah. “Investigation on the behavior of brick-infilled steel frames with openings, experimental and analytical approaches.” Eng. Struct. 33 (3): 968–980. https://doi.org/10.1016/j.engstruct.2010.12.018, (2011).
[36] Yuksel, E., and P. Teymur. “Earthquake performance improvement of low rise RC buildings using high strength clay brick walls.” Bull. Earthquake Eng. 9 (4): 1157–1181. https://doi.org/10.1007/s10518-010-9242-2, (2011).
[37] Liu, Y., and S. Soon. “Experimental study of concrete masonry infills bounded by steel frames.” Can. J. Civ. Eng. 39 (2): 180–190. https://doi.org/10.1139/l11-122, (2012).
[38] Stylianidis, K. “Experimental investigation of masonry infilled R/C frames.” Open Constr. Build. Technol. J. 6 (1): 194–212. https://doi.org/10.2174/1874836801206010194, (2012).
[39] Da Porto, F., G. Guidi, M. Dalla Benetta, and N. Verlato. “Combined in-plane/out-of-plane experimental behaviour of reinforced and strengthened infill masonry walls.” In Proc., 12th Canadian Masonry Symp. Longmont, CO: Masonry Society, (2013).
[40] Markulak, D., I. Radi´c, and V. Sigmund. “Cyclic testing of single bay steel frames with various types of masonry infill.” Eng. Struct. 51 (Jun): 267–277. https://doi.org/10.1016/j.engstruct.2013.01.026, (2013).
[41] Sigmund, V., and D. Penava. “Influence of openings, with and without confinement, on cyclic response of infilled R-C frames: An experimental study.” J. Earthquake Eng. 18 (1): 113–146. https://doi.org/10.1080/13632469.2013.817362, (2013).
[42] Zovkic, J., V. Sigmund, and I. Guljas. “Cyclic testing of a single bay reinforced concrete frames with various types of masonry infill.” Earthquake Eng. Struct. Dyn. 42 (8): 1131–1149. https://doi.org/10.1002/eqe.2263, (2013).
[43] Mansouri, A., M. S. Marefat, and M. Khanmohammadi. “Experimental evaluation of seismic performance of low-shear strength masonry infills with openings in reinforced concrete frames with deficient seismic details.” Struct. Des. Tall Special Build. 23 (15): 1190–1210. https://doi.org/10.1002/tal.1115, (2014).
[44] Morandi, P., S. Hak, and G. Magenes. “In-plane experimental response of strong masonry infills.” In Proc., 9th Int. Masonry Conf. Whyteleafe, UK: International Masonry Society, (2014).
[45] Tawfik Essa, A. S. A., M. R. Kotp Badr, and A. H. El-Zanaty. “Effect of infill wall on the ductility and behavior of high strength reinforced concrete frames.” HBRC J. 10 (3): 258–264. https://doi.org/10.1016/j.hbrcj.2013.12.005, (2014).
[46] Cavaleri, L., and F. Di Trapani. “Cyclic response of masonry infilled RC frames: Experimental results and simplified modeling.” Soil Dyn. Earthquake Eng. 65 (Oct): 224–242. https://doi.org/10.1016/j.soildyn.2014.06.016, (2014).
[47] Bose, S., and D. C. Rai. “Behavior of AAC infilled RC frame under lateral loading.” In Proc., 10th US National Conf. on Earthquake Engineering, Frontiers of Earthquake Engineering. Oakland, CA: Earthquake Engineering Research Institute, (2014).
[48] Schwarz, S., A. Hanaor, and D. Z. Yankelevsky. “Experimental response of reinforced concrete frames with AAC masonry infill walls to in-plane cyclic loading.” Structures 3 (Aug): 306–319. https://doi.org/10.1016/j.istruc.2015.06.005, (2015).
[49] Chiou, T.-C., and S.-J. Hwang. “Tests on cyclic behavior of reinforced concrete frames with brick infill.” Earthquake Eng. Struct. Dyn. 44 (12): 1939–1958. https://doi.org/10.1002/eqe.2564, (2015).
[50] Bergami, A., and C. Nuti. “Experimental tests and global modeling of masonry infilled frames.” Earthquake Struct. 9 (2): 281–303. https://doi.org/10.12989/eas.2015.9.2.281, (2015).
[51] Basha, S. H., and H. B. Kaushik. “Behavior and failure mechanisms of masonry-infilled RC frames (in low-rise buildings) subject to lateral loading.” Eng. Struct. 111 (Mar): 233–245. https://doi.org/10.1016/j.engstruct.2015.12.034, (2016).
[52] Misir, I. S., O. Ozcelik, S. C. Girgin, and U. Yucel. “The behavior of infill walls in RC frames under combined bidirectional loading.” J. Earthquake Eng. 20 (4): 559–586. https://doi.org/10.1080/13632469.2015.1104748, (2016).
[53] Verderame, G., P. Ricci, C. Del Gaudio, and M. De Risi. “Experimental tests on masonry infilled gravityand seismic-load designed RC frames.” In Proc., 16th Int. Brick and Block Masonry Conf. London:CRC Press, (2016).
[54] Zhai, C., J. Kong, X. Wang, and Z. Chen. “Experimental and finite element nalytical Investigation of seismic behavior of full-scale masonry infilled RC frames.” J. Earthquake Eng. 20 (7): 1171–1198.https://doi.org/10.1080/13632469.2016.1138171, (2016).
[55] Kumar, M., M. Haider, and S. H. Lodi. “Response of low-quality solid concrete block infilled frames.” Proc. Inst. Civ. Eng. Struct. Build. 169 (9): 669–687. https://doi.org/10.1680/jstbu.15.00068, (2016).
[56] Khoshnoud, H. R., and K. Marsono. “Experimental study of masonry infill reinforced concrete frames with and without corner openings.” Struct. Eng. Mech. 57 (4): 641–656. https://doi.org/10.12989/sem.2016.57.4.641, (2016).
[57] Gazic, G., and V. Sigmund. “Cyclic testing of single-span weak frames with masonry infill.” Gradevinar 68 (8): 617–633, (2016).
[58] Dautaj, Arton D., Qani Kadiri, and Naser Kabashi. "Experimental study on the contribution of masonry infill in the behavior of RC frame under seismic loading." Engineering Structures 165 (2018): 27-37.
[59] Akhoundi, F., G. Vasconcelos, P. Lourenço, L. M. Silva, F. Cunha, and R. Fangueiro. “In-plane behavior of cavity masonry infills and strengthening with textile reinforced mortar.” Eng. Struct. 156 (Feb):145–160. https://doi.org/10.1016/j.engstruct.2017.11.002, (2018).
[60] Alwashali, Hamood, et al. "Experimental investigation of influences of several parameters on seismic capacity of masonry infilled reinforced concrete frame." Engineering Structures 189 (2019): 11-24.
[61] Butenweg, Christoph, Marko Marinković, and Ratko Salatić. "Experimental results of reinforced concrete frames with masonry infills under combined quasi-static in-plane and out-of-plane seismic loading." Bulletin of Earthquake Engineering 17.6 (2019): 3397-3422.
[62] da Porto, Francesca, et al. "Experimental Testing and Numerical Modeling of Robust Unreinforced and Reinforced Clay Masonry Infill Walls, With and Without Openings." Frontiers in Built Environment 6 (2020): 204.
[63] Pallarés, Francisco J., et al. "Experimental and analytical assessment of the influence of masonry façade infills on seismic behavior of RC frame buildings." Engineering Structures 235 (2021): 112031.
[64] Brodsky, Alex, David Z. Yankelevsky, and Oded Rabinovitch. "Shearing of infill masonry walls under lateral and vertical loading." Journal of Building Engineering 38 (2021): 102147.
[65] Silva, Luis M., Graça Vasconcelos, and Paulo B. Lourenço. "Innovative systems for earthquake-resistant masonry infill walls: Characterization of materials and masonry assemblages." Journal of Building Engineering 39 (2021): 102195.
[66] Lu, Xiao, and Shumin Zha. "Full-scale experimental investigation of the in-plane seismic performance of a novel resilient infill wall." Engineering Structures 232 (2021): 111826.
[67] Quagliarini, E., Maracchini, G., Clementi, F., Uses and limits of the equivalent frame model on existing unreinforced masonry buildings for assessing their seismic risk: a review. J. Build. Eng. 10, 166-182, (2017).
[68] D’Altri, A. M., V. Sarhosis, G. Milani, J. Rots, S. Cattari, S. Lagomarsino, E. Sacco, A. Tralli, G. Castellazzi, and S. de Miranda. "A review of numerical models for masonry structures." Numerical modeling of masonry and historical structures (2019): 3-53.
[69] Dolatshahi, K.M., Yekrangnia, M., Out-of-plane strength reduction of unreinforced masonry walls because of in-plane damages. Earthq. Eng. Struct. Dyn. 44 (13), 2157-2176, (2015).
[70] Tomaˇzeviˇc, M., The computer program POR. Report ZRMK, (1978).
[71] Dolce, M., Schematizzazione e modellazione degli edifici in muratura soggetti ad azioni sismiche. L’Industria delle Costruzioni 25 (242), 44-57, (1991).
[72] Roca, P., Molins, C., Mar´ı, A.R., Strength capacity of masonry wall structures by the equivalent frame method. J. Struct. Eng. 131 (10), 1601-1610, (2005).
[73] Belmouden, Y., Lestuzzi, P., An equivalent frame model for seismic analysis of masonry and reinforced concrete buildings. Constr. Build. Mater. 23 (1), 40-53, (2009).
[74] Addessi, D., Mastrandrea, A., Sacco, E., An equilibrated macro-element for nonlinear
analysis of masonry structures. Eng. Struct. 70, 82-93, (2014).
[75] Liberatore, D., Addessi, D., Strength domains and return algorithm for the lumped plasticity equivalent frame model of masonry structures. Eng. Struct. 91, 167-181, (2015).
[76] Chen, S.-Y., Moon, F., Yi, T., A macroelement for the nonlinear analysis of in-plane unreinforced masonry piers. Eng. Struct. 30 (8), 2242-2252, (2008).
[77] Calio`, I., Marletta, M., Panto` , B., A new discrete element model for the evaluation of the seismic behaviour of unreinforced masonry buildings. Eng. Struct. 40, 327-338, (2012).
[78] Rinaldin, G., Amadio, C., Macorini, L., A macro-model with nonlinear springs for seismic
analysis of urm buildings. Earthq. Eng. Struct. Dyn. 45 (14), 2261-2281, (2016).
[79] Mobarake, A.A., Khanmohammadi, M., Mirghaderi, S., A new discrete macro-element in an analytical platform for seismic assessment of unreinforced masonry buildings. Eng. Struct. 152, 381-396, (2017).
[80] Xu, H., Gentilini, C., Yu, Z., Wu, H., Zhao, S., A unified model for the seismic analysis of brick masonry structures. Constr. Build. Mater. 184, 733-751, (2018).