ansys
در نشریات گروه عمران-
سازه هایی با سقف های دهانه بزرگ در برابر باد آسیب پذیر هستند، در این سازه ها به دلیل بار مرده کم، بار باد اثر بیشتری بر روی این نوع سازه ها می گذارد. در محاسبه نیروی باد یکی از ضرایب که به هندسه سازه ارتباط دارد ضریب فشار Cp)) می باشد که این ضریب برای برخی از سازه های متداول در آیین نامه های بارگذاری ارائه شده است، در این تحقیق بررسی جریان باد بر سطح سازه سوله قوسی شکل با سه نسبت ارتفاع به دهانه قوس 1/0و2/0و3/0 با استفاده از آزمایش تونل باد و همچنین مدل سازی عددی بر مبنای روش دینامیک سیالات محاسباتی (CFD) با استفاده از نرم افزار ANSYS صورت گرفته و ضرایب فشار باد بر روی این سازه ها ارائه شده است، مشاهده می شود با افزایش نسبت ارتفاع به دهانه قوس بیشینه ضرایب فشار باد منفی(مکش)، افزایش یافته به نحوی که بر روی محور میانی سازه در حالت 900=α ، بیشینه فشار منفی در سازه 1-S، 2-S، 3-S، به ترتیب برابر 2- و 7/1- و 6/1- است. ضرایب فشار در اضلاع رو به باد عدد مثبت را نشان می دهد که نشان دهنده فشار در این سطوح است، حداکثر فشار مثبت در900=α) حالتی که جهت اعمال باد بر سوله عمود است) رخ می دهد که در این حالت ضریب فشار برابر 1+ است. درسازه1- S (نسبت ارتفاع به دهانه 3/0) ، بیشینه تغییر شکل ایجاد شده به ازای زاویه اعمال باد 400=α است که این میزان 20 درصد بیشتر از حالت 900 α= است.کلید واژگان: تونل باد، ضرایب فشار بار باد، سوله قوسی، دینامیک سیالات محاسباتی، انسیسStructures with large opening roofs are vulnerable to wind, in these structures due to the low dead load, the wind load has a greater effect on these types of structures. In the calculation of wind force, one of the coefficients related to the geometry of the structure is the pressure coefficient (Cp), which is provided for some common structures in the loading regulations. Arch opening of 0.1, 0.2 and 0.3 was done using wind tunnel test and numerical modeling based on Computational Fluid Dynamics (CFD) method using ANSYS software and wind pressure coefficients on these structures are presented, it can be seen that with increasing The ratio of the height to the opening of the arch of the maximum coefficients of negative wind pressure (suction), increased in such a way that on the middle axis of the structure in the state of α = 90o, the maximum negative pressure in the structure S-1, S-2, 3-S, is equal to -2 and It is -1.7 and -1.6. The pressure coefficients on the sides facing the wind show a positive number, which indicates the pressure on these surfaces, the maximum positive pressure occurs at α=90o (the state where the direction of the wind is perpendicular to the shed) and in this case the pressure coefficient is equal to +1. In structure S-1 (height-to-opening ratio 0.3), the maximum deformation created for the wind application angle is α=40o, which is 20% more than α=90 o.Keywords: Wind tunnel, wind pressure coefficients, arc shed, Computational Fluid Dynamics, Ansys
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بررسی رفتار لرزه ای و ارزیابی ایمنی لرزه ای سد های بتنی، بدلیل اهمیت ایمنی سد در هنگام زلزله مورد توجه بسیاری از محققین بوده است. زیرا تخریب این سازه ها در اثر زلزله می تواند آثار منفی اقتصادی و اجتماعی در پی داشته باشد. در پژوهش حاضر، آنالیز دینامیکی غیر خطی سدهای بتنی وزنی با در نظر گرفتن اثر اندرکنش سد و مخزن انجام شده است. در طی این تحقیق تنش های اصلی حداقلی و حداکثری برای سد و مخزن U شکل با استفاده از قابلیت های نرم افزار Ansys اندازه گیری شده است. پژوهش حاضر به دنبال بررسی ارزیابی سدهای V شکل در شرایط لرزه یا زلزله است. نتایج تحقیق نشان می دهد که آنالیز استاتیکی با رفتار غیر خطی در توده سنگ با لایه های متوسط و ضعیف پایداری بیشتری نسبت به سیستم همگن ضعیف وجود دارد. ولی امکان تمرکز کرنش های پلاستیک در لایه های ضعیف بیشتر است. سایر نتایج این مطالعه نشان داد، تنش های فشاری در بررسی ایمنی سد، بحرانی نبوده و تنش های قوسی کششی ماکزیمم به طور عمده در ترازهای فوقانی بلوک های میانی و همچنین در مجاورت سطح تماس با تکیه گاه های جانبی حاصل شده است.کلید واژگان: سدV شکل، سدU شکل، رفتار لرزه ای، سد بتنی قوسی، AnsysInvestigation of seismic behavior and seismic safety evaluation of concrete dams has been the focus of many researchers due to the importance of dam safety during an earthquake. Because the destruction of these structures due to an earthquake can have negative economic and social effects. In the present study, the nonlinear dynamic analysis of gravity concrete dams has been done considering the effect of dam-reservoir interaction. In fact, the minimum and maximum principal stresses for the U-shaped dam and reservoir have been measured via ANSYS. Also, the present study seeks to investigate the evaluation of V-shaped dams in seismic conditions. The results show that the static analysis with non-linear behavior in the rock mass with medium and weak layers has more stability compared to the weak homogeneous system. But it is more possible to concentrate plastic strains in weak layers. Other results of this study showed that the compressive stresses in the safety check of the dam were not critical and the maximum tensile arc stresses were obtained mainly in the upper levels of the middle blocks and also in the vicinity of the contact surface with the side supports.Keywords: V-shaped dam, U-shaped dam, seismic behavior, Concrete Arch Dam, Ansys
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Investigation of seismic safety evaluation of concrete dams has been the focus of many researchers due to the importance of dam safety during an earthquake. Because the destruction of these structures due to an earthquake can have negative economic and social effects. In the present study, the nonlinear dynamic analysis of gravity concrete dams has been done considering the effect of dam-reservoir interaction. In fact, the minimum and maximum principal stresses of the U-shaped dam and reservoir have been measured via ANSYS. The results show that the static analysis with non-linear behavior in the rock mass with medium and weak layers has more stability compared to the weak homogeneous system. But it is more possible to concentrate plastic strains in weak layers. Other results of this study showed that the compressive stresses in the safety check of the dam were not critical and the maximum tensile arc stresses were obtained mainly in the upper levels of the middle blocks.Keywords: V-shaped dam, U-shaped dam, seismic behavior, Concrete Arch Dam, Ansys
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نشریه مهندسی عمران و محیط زیست دانشگاه تبریز، سال پنجاه و دوم شماره 3 (پیاپی 108، پاییز 1401)، صص 185 -193
در این مقاله، فرمول نویسی الکترومکانیکی المان محدود یک تیر کامپوزیت لایه لایه تطبیقی هوشمند ارایه شده است. مدل تیر مرکب هوشمند ارایه شده بر اساس فرضیات الکترومکانیک و الکتروسینماتیک خطی است. مدل تیوری یک تیر کامپوزیت پیزوالکتریک (Piezoelectric) سه لایه است که به صورت یک مکانیزم به کاراندازنده محوری عمل می کند. مصالح الاستیک لایه هسته ایزوتروپیک (Isotropic) بوده اما مواد پیزوالکتریک لایه های بیرونی اورتوتروپیک می باشند. دقت مدل های تحلیلی و عددی با بررسی شبیه سازی دو اصل بقای انرژی مکانیکی و الکتریکی در یک برنامه عناصر محدود و همچنین مقایسه نتایج آن با مدل عددی ANSYS نشان داده شده است. در شبیه سازی عددی در مدل المان محدود، سه مش بندی 10، 50 و 100 المانی ایجاد شده است. شبیه سازی پارامتری شامل سه مجموعه بارگذاری استاتیکی مکانیکی، الکتریکی و الکترومکانیکی می باشد. با مقایسه نتایج مدل سازی ها در برنامه المان محدود نوشته شده و ANSYS و صحت سنجی اصل بقای انرژی الکترومکانیکی در آن ها می توان نتیجه گرفت که مدل المان محدود ارایه شده از کارآمدی و دقت خوبی برخوردار است.
کلید واژگان: سازه های هوشمند، مکانیک محاسباتی، مدل المان محدود، ANSYSJournal of Civil and Environmental Engineering University of Tabriz, Volume:52 Issue: 3, 2022, PP 185 -193In the present paper, electromechanical finite element modelling of a smart adaptive composite beam is presented. The model is formulated based on linear electromechanics and electrokinematics assumptions. The proposed model is a three layers piezoelectric composite beam that acts as transversely actuator. elastic material of core is isotropic whereas the outer piezoelectric layers is orthotropic. The accuracy of analytic and numerical models is demonstrated by examining the simulation of the two principles of mechanical and electrical energy conservation in a finite element program and also comparing its results with the ANSYS numerical model. In the numerical simulation of the finite element model, there are three mesh including 10, 50, and 100 elements. Parametric simulation consists of three mechanical, electrical and electromechanical static loading sets. By comparing the results of modeling in the finite element programming and ANSYS, and verifying the principle of electromechanical energy conservation, it can be concluded that the proposed finite element model is efficiently and accurately.
Keywords: Smart structures, Computational mechanics, Finite element modelling, ANSYS -
افزایش جمعیت، محدودیت فضا، عوامل اقتصادی و اجتماعی و مقاصد گردشگری از دلایلی هستند که باعث احداث ساختمان-های بلند شده اند. از طرفی، ابداع مصالح سبک و مقاوم باعث شده است که ساختمان های بلند دارای میرایی کم و پریود ارتعاشی زیاد بوده و نسبت به نیروهای باد حساس باشند. از این رو، بررسی وتحلیل ساختمان های بلند تحت اثر نیروهای باد ضروری به نظر می رسد. هدف از اجرای این پژوهش ارایه راهکارهای لازم جهت طراحی بر اساس عملکرد ساختمان های بلند در برابر باد می باشد. در پژوهش حاضر، یک ساختمان بلند بیضی شکل در برابر اندرکنش باد قرار داده شده و مدل سازی مشخصات باد و ساختمان در نرم افزار ANSYS.17 انجام شده است. برای شبیه سازی لایه مرزی جوی در نرم افزار و بعنوان تونل باد مجازی، به دو پارامتر نیمرخ سرعت میانگین باد و پارامترهای تلاطم یعنی طول و شدت آن نیاز هست. نتایج حاصل از تحلیل نرم افزار به صورت تاریخچه زمانی شتاب طولی و عرضی در سه ارتفاع مختلف ساختمان و برای سرعت میانگین نهایی باد یعنی 72 متر بر ثانیه در جهت طولی و چهار سرعت میانکین باد در جهت عرضی ارایه و سپس انحراف معیار شتاب استخراج و در منحنی های استاندارد آیین نامه جاگذاری و تفسیر شدند. تاثیر عوامل مختلف بر عملکرد ساختمان های بلند در برابر باد عبارت اند از: نوع پاسخ (یعنی طولی یا عرضی)، سرعت میانگین باد، نحوه قرارگیری ساختمان در برابر باد و ارتفاع نقطه موردنظر ازسطح زمین. نتایج پژوهش حاضر نشان می دهندکه پاسخ عرضی ساختمان های بلند در برابر باد از قاعده خاصی پیروی نمی کند و تابع سرعت میانگین باد، ارتفاع مورد نظر از ساختمان و پاسخ عرضی یعنی تغییرمکان و شتاب می باشد.
کلید واژگان: ساختمان بلند، Ansys، سرعت میانگین باد، شتاب طولی، شتاب عرضی، مهندسی باد بر اساس عملکرد (PBWE)Population growth, space limitation, economic and social factors are some of the reasons that led to the construction of tall buildings. However, the invention of light weight and durable materials has made tall buildings with low damping and high vibration period and sensitive to wind forces. Therefore, the study and analysis of tall buildings under wind forces seem necessary. The purpose of the present research work is to provide the necessary solutions for performance based design of a tall building having elliptic plan shape against the wind. In the present study, a tall elliptical building is exposed to wind interaction. Moreover, wind modeling and building specifications are performed in ANSYS.17 software. To simulate the atmospheric boundary layer in the software as a virtual wind tunnel, two parameters of the mean wind speed and turbulence includes length and intensity, are required. The results of software analysis were presented as a time history of longitudinal and transverse acceleration at three different heights of the building for four various mean wind speeds in short afterbody orientation for perpendicular to wind direction and 72 m/s in wind direction, then the standard deviation of acceleration was calculated and placed in standard curves of the regulation and interpreted. The effect of different factors on the performance of tall buildings against the wind is a type of response (alongwind or acrosswind), mean wind speed, orientation of the building, and the height of the desired point from the ground. Results show that the acrosswind response of tall buildings to wind does not follow a specific law and is a function of the mean wind speed, height of the building, and the alongwind and acrosswind response of the building ,i.e, displacement and accelerations .
Keywords: Tall building, Ansys, Mean wind speed, Alongwind acceleration, Acrosswind acceleration performance based wind engineering(PBWE) -
Many experimental works available in the literature explore the structural behavior of flexural members, but a limited number of studies examined the structural behavior of flexural members using nonlinear finite element modeling (FEM). The purpose of the present study is to investigate the effect of reinforcement ratio as well as shear span on the flexural and shear behavior of reinforced concrete beams using three-dimensional FEM in ANSYS. Experimental data and results of fifty-five reinforced concrete beams were compared. Concrete was modeled using a three-dimensional SOLID65 solid element, capable of representing the actual behavior of nonlinear brittle materials such as concrete. Discrete reinforcement was modeled using a three-dimensional LINK180 spar element. The outcomes of the finite element model for loading and cracking of flexural members with a discrete modeling approach were in good agreement with theoretical and experimentally obtained results at all stages of loading. Furthermore, it was observed that at the early stage, the finite element model shows a nearly close result to experimental data compared to the result obtained at the ultimate stage. The outcomes of this study are of utmost importance for structural engineers in designing reinforced flexural members.
Keywords: 3D Finite Element Analysis, Reinforced Concrete Beam, ANSYS, FE Modelling, Shear span to DepthRatio, Crack Identification -
بهبود رفتار ساختمان ها و کاهش پاسخ آن ها در برابر بارهای جانبی دینامیکی همواره یکی از اهداف مهندسین سازه می باشد. یکی از توسعه یافته ترین روش های کاهش پاسخ سازه ها تحت ارتعاشات استفاده از سیستم های کنترل غیرفعال است. میراگر مایع تنظیم شده (TLD) یکی از ابزارهای پرکاربرد سیستم های کنترلی غیرفعال می باشد. در این پژوهش عملکرد میراگر مایع تنظیم شده تحت 14 رکورد زلزله حوزه دور و حوزه نزدیک در نرم افزار انسیس مورد بررسی قرار گرفته است. به منظور بررسی عملکرد میراگر مایع تنظیم شده در کاهش پاسخ های جابجایی، شتاب و سرعت ساختمان معیار مورد بررسی، چهار پارامتر طول مخزن، ارتفاع آب، نسبت آب و نسبت جرم (مجموعا در 27 طراحی متفاوت براساس روابط به فرم بسته موجود در ادبیات فنی) مورد بررسی قرار گرفت. با توجه به نتایج بدست آمده مخزن مکعبی با نسبت آب 375/0 و نسبت جرم 5 درصد تحت رکورد حوزه نزدیک و نسبت آب 125/0 و نسبت جرم 5 درصد تحت رکورد حوزه دور در مقایسه با سایر حالت ها عملکرد بهتری داشته است. به صورت کلی هرچه نسبت جرم بیشتر باشد عملکرد میراگر در کلیه شاخص های مورد بررسی و در بین حالت های در نظر گرفته شده بهتر بوده است و همچنین کاهش پاسخ ها در شتاب بهتر از سرعت و در سرعت بهتر از جابجایی می باشد.کلید واژگان: کنترل غیر فعال، میراگر مایع تنظیم شده، تحلیل پارامتری، زلزله حوزه دور و نزدیک، انسیسOne of the aims of structural engineers is to improve the behavior of structures and reducing their responses under dynamic lateral loads. The structural control systems are advanced techniques to reduce the structural responses against vibration, and Tuned Liquid Damper (TLD) is a well-established tool for the control of structures. In this study, the effect and behavior of TLD under 7 far-field earthquakes and 7 near-field earthquakes was investigated in ANSYS software. To assess the performance of TLD on the control of structural responses including displacement, acceleration, and velocity, the effect of four different design parameters i.e., tank length, water height, water ratio, and mass ratio (with 27 different designed alternatives based on closed-form relationships proposed in the literature) were studied. The results showed that when the water ratio and the mass ratio of the cubical container are equal to 0.375 and 5 percent respectively, The TLD had the best performance under near-fault records. Also, the designed TLD with a 5 percent mass ratio and 0.125 water ratio outperforms other designed alternatives under far-fault records. In general, and among the considered alternatives, the performance of the damper with a higher mass ratio improves all studied performance criteria. Also, the well-designed TLD could reduce the acceleration better than velocity, and velocity better than displacement.Keywords: Passive control, tuned liquid damper, parametric analysis, Far, Near-Field Earthquakes, Ansys
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در این مقاله یک روش عددی برای تحلیل کامل تیرهای خمشی بتنی پیش تنیده، تقویت شده با ورق های پلیمر مسلح شده با الیاف شیشه با تمرکز بر رفتار شکل پذیری و مقاومت خمشی معرفی می گردد. پیش تنیده نمودن سازه های بتنی باعث افزایش ظرفیت خمشی این گونه سازه ها شده و باعث افزایش مقاومت سازه ها و افزایش طول دهانه و کاهش تغییر مکان تیرها می شود. که هم از لحاظ کارامدی و هم از لحاظ سازه ای مقرون به صرفه است. بررسی شکل پذیری این سازه ها که امروزه بسیار مورد استفاده قرار می گیرند، از اهمیت بالایی برخوردار است چرا که بیانگر توان سازه در تغییر شکل غیر ارتجاعی قبل از تخریب اعضا می باشد. در تحقیق حاضر سعی بر آن است که تاثیر استفاده از ورق GFRP پیش تنیده بر شکل پذیری و تغییر شکل، در رفتار تیرهای مقاوم سازی شده به این روش بررسی شود. بدین منظور با استفاده از نرم افزار اجزاء محدود ANSYS ابتدا به مدل سازی چندین نمونه تیر با شرایط مختلف پرداخته شد. پس از مقایسه ی نتایج تحلیل عددی تیر بتنی با ورق GFRP با نتایج تحلیل عددی دو نوع تیر بتنی پیش تنیده با مفتول و اثبات کارایی مدل ارایه شده، به بررسی شاخص شکل پذیری انرژی و جابجایی، تغییر شکل نهایی، مقاومت و مقدار جابجایی تیرهای بتنی پرداخته شده است. برای این منظور سه عدد تیر با ابعاد ×160mm 280mm× 3600mm مورد مدل سازی قرار گرفتند. به طور خلاصه نتایج این تحقیق حاکی از آن است که استفاده از ورق GFRP پیش تنیده باعث می شود مقدار جابجایی تیر بر اثر نیرو دارای کمترین مقدار و لذا لایه GFRP موجب افزایش 10 در صدی و 4/10 در صدی بر سختی خمشی و شکل پذیری خواهد شد.
کلید واژگان: شکل پذیری، اجزای محدود، GFRP، پیش تنیدگی، AnsysThis paper describes a numerical method for the full-range analysis of prestressed concrete flexural beams strengthened with prestressed glass fiber-reinforced polymper (GFRP) sheets, focusing on ductility and flexural strength behaviour. Prestressing concrete structures cause increased flexural strength of these structures thus increased resistance of structures, increased span length, and reduced displacements of beams are resulted, which is very effective and economically feasible. The study of ductility of these structures that have been used a lot nowadays, has a great importance because it expresses the capability of structure in inelastic deformations before destruction of members. Present paper attempts to investigate the effect of prestressed GFRP sheets on ductility and deformation of beams strengthened by this method. Regarding to this, the modelling of three sample of beams in different conditions was studied using finite element software ANSYS. After comparing the results of numerical analysis of concrete beam with GFRP sheet and the numerical results of two types of prestressed concrete beam with wire and proofing the efficiency of presented model, the displacement and energy ductility index, deformation, resistance and the amount of displacement of concrete beams have been investigated. Three beams with 160mm*280mm*3600mm dimensions have been modelled. In summary, the results express that the application of prestressed GFRP sheet may cause the least displacements of beam and an increase of 10% and 10.4% will be achieved in the flexural stiffness and ductility.
Keywords: Ductility, Finite Element, Glass fiber reinforced polymers, prestressing, Ansys -
مخازن آب از جمله اجزاء اصلی شبکه های آبرسانی به منظور ذخیره، نگهداری و نیز تامین فشار آب می باشند و به جهت اهمیتی که این سازه ها دارند باید پس از وقوع زلزله قابلیت بهره برداری و تامین فشار در شبکه آبرسانی را داشته باشند. در این مقاله تاثیر نسبت سختی بتن فونداسیون به سختی بتن مخزن بر تحلیل لرزه ای مخازن هوایی مورد بررسی قرار گرفته است. در تحلیل لرزه ای حاضر، نسبت سختی بتن فونداسیون به سختی بتن بدنه مخزن به صورت ضریب ثابت K بیان شده است. با تغییر این ضریب، تاثیر آن بر روی هر کدام از پارامترهای تنش کششی، فشاری و تغییرمکان با استفاده از تحلیل احتمالاتی مورد بررسی قرار گرفته است. مخزن مورد مطالعه به کمک روش هایی که مبتنی بر روش اجزای محدود می باشد به صورت سه بعدی در نرم افزار انسیس مدل سازی شده است. در این مدل سازی اندرکنش بین بدنه مخزن، سیال و فونداسیون در نظر گرفته شده و برای اعمال زلزله از شتاب نگاشت زمین لرزه منجیل در مدل مورد نظر استفاده شده است. تحلیل احتمالاتی استفاده شده، شبیه ساز مونت کارلو با استفاده از روش نمونه برداری ابر مکعبی لاتین بوده و از ضریب K به عنوان متغیر ورودی استفاده شده است. مقدار ماکزیمم تغییر مکان افقی سازه، تنش اصلی اول حداکثر و تنش اصلی سوم حداکثر نیز به عنوان پاسخ های بحرانی و متغیرهای خروجی انتخاب شده اند. نتایج حاصل از تحلیل مدل ها و مقایسه پاسخ هایی نظیر تنش های اصلی حداکثر و تغییرمکان حداکثر نشان می دهند که با در نظر گرفتن ملاحظات اقتصادی و ضریب اطمینان مناسب برای سیستم، بهینه ترین و مطلوب ترین مقدار برای ضریب K تقریبا 7/0 می باشد.کلید واژگان: مخزن هوایی، اندرکنش، فونداسیون، سختی بتن، زلزله، انسیس، مونت کارلوWater tanks are among the main components of water supply networks for storing, maintaining and supplying pressure, and these structures should have the ability to exploit and supply pressure in the water supply network after the earthquake. In this paper, the effect of foundation concrete hardness to tank concrete hardness on seismic analysis of air tanks has been investigated. In the current seismic analysis, the relationship between the concrete hardness of the foundation and the concrete of the tank body is expressed by the definition of the constant coefficient K. By changing this coefficient, its effect on each of the tensile/compressive stress, and displacement parameters using a probabilistic analysis is examined. The tank is modeled using a three-dimensional finite element method based on ANSYS software. In this model, the interaction between the tank body, fluid and foundation are considered and the accelerogram of Manjil earthquake in the intended model is used to apply the earthquake. The probabilistic analysis used in this study is Monte Carlo simulator using the Latin hypercube sampling method and K coefficient is used as an input variable. The maximum horizontal displacement of the structure, the maximum 1st principle stress and the maximum 3rd principle stress are selected as critical responses and output variables. The results of analyzing models and comparing responses such as maximum principle stresses and maximum displacement show that with regard to economic considerations and the appropriate reliability coefficient for the system, the most efficient and optimal value for the coefficient K is approximately 0.7.Keywords: Air tank, Interaction, Foundation, Concrete hardness, Earthquake, Ansys, Monte Carlo
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Characteristics of Ferrocement Lightweight WallThis study presents the results of an investigation aimed to study the behavior of reinforced walls constructing of permanent precast lightweight ferrocement hollow blocks. For this objective, an experimental program was carried out extensively, and a finite-element model with ANSYS14.5 was adopted. The experimental program constructed and tested of four walls having the dimensions of 840 × 650 × 250 mm consisting of six permanent precast lightweight ferrocement hollow blocks having the dimensions of 200 × 400 × 200 mm filled with the core material. The core material was investigated: one layer of welded steel mesh and mortar. Single, double, and three layers steel meshes were used to reinforce the plastering as a bonding layer forms, namely, welded steel mesh. Shear connections between the permanent precast hollow blocks and the core mortar were investigated, namely, the mechanical shear connector between the two surfaces. The test specimens were tested as a fixed wall under uniform load. The behaviors of the walls were compared. The experimental results emphasized that better cracks resistance, high serviceability and ultimate loads, and good energy absorption could be improved using the proposed walls which verify the validity of used the proposed model. There is a good agreement between theoretical and experimental ones. Out of this research, this study presents applications of using light weight ferrocement units in building construction of low-cost housing, which is very useful for developed and developing countries alike with great economic advantages.Keywords: Ferrocement, Experimental program, Light weight, Masonry walls, Serviceability load, Precast, Initial cracking load, Ultimate load, Finite element model, ANSYS, Economic assessment
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FORCE AND DISPLACEMENT CONTROLLED NON-LINEAR FE ANALYSES OF RC BEAM WITH PARTIAL STEEL BONDED LENGTHThe current work deals with the comparison between two different computer formulations, namely, force- and displacement-controlled approaches for non-linear FE analyses of an RC beam in flexure with partially developed and asymmetric steel reinforcement. Instead of inputting loadslip data of direct tension pullout test to ANSYS code for defining the bond property, a different approach is adopted. In the study, load slip data are extracted from bond stress model of Yousaf (Performance of self-compacting concrete in bond at beams intersection. PhD dissertation, 2015) where the model was developed using data of digital strain gauge mounted on main steel bar in flexural beam testing. The load slip data are fed to computer as a set of real contestants choosing large-deformation non-linear plastic analysis scheme, discrete modeling approach for material modeling and program-chosen incremental scheme following the NewtonRaphson method. Complete harmony is found in computer and experimental results advocating the correctness and validation of the approach adopted for computer analysis. Among both formulations adopted for ANSYS analysis, the results reveal that the displacement-controlled approach is easy and efficient in terms of time-saving and less disk space requirement along with the ability to give falling branch of loaddeflection response, if element displacement capacity still exists. Furthermore, it gives an early estimate of the load carrying capacity of the structural element along with suitable values of convergence and non-linear solution parameters. On the other hand, force-based analysis for a beam with unsymmetrical reinforcement detailing seems to yield more realistic and practical results in terms of mid-span deflection and beam cracking behavior compared with assumed symmetric displacement-controlled technique. From the study, the superiority of the force-controlled approach in comparable conditions is established through observed performance simulation with that of practical beam results along with the applicability of the approach adopted in the study. A comparison of ANSYS and experimental stress of partially developed rebar shows that the used bond model performs extremely well.Keywords: Non-linear analysis, ANSYS, Force-controlled analysis, Displacement-controlled analysis, Solution convergence, Steel–concrete bond strength
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تاکنون تحقیقات اندکی بر روی تاثیر شرایط محیطی بر دبی خروجی از محل نشت انجام شده است. برخی از این تحقیقات نشان می دهند که شرایط محیطی می توانند بر دبی نشت تاثیرگذار بوده و در مقابل برخی دیگر تاثیر این شرایط را کاملا رد می کنند. در همین راستا با هدف بررسی تاثیر شرایط محیطی بر دبی نشت، آزمون هایی بر روی مجموعه آزمایشگاهی گردشی تحت فشار بالا ساخته شده در دانشکده فنی دانشگاه تهران، انجام شد. آزمون ها در حالت تخلیه به هوای آزاد، بر روی یک لوله فولادی به قطر 110 میلی متر و با منفذ نشت مدور، در محدوده وسیعی از فشارها تا فشار 50 متر انجام شد. در ادامه با استناد به نتایج آزمون های آزمایشگاهی، مجموعه آزمایش در محیط نرم افزار انسیس مدل سازی عددی شده و یک مدل ریاضی آشفتگی مناسب برای آن استخراج شد. سپس به کمک تحلیل عددی در حالت مستغرق در آب، به بررسی تاثیر شرایط محیطی بر روی دبی نشت پرداخته شد. نتایج حاصل از این تحقیق، نشان می دهد که وجود آب و نوسانات فشار در محل جت مستغرق، بر دبی خروجی از محل نشت تاثیرگذار بوده و مقدار آن را در مقایسه با نشت در حالت تخلیه به هوای آزاد کاهش می دهد. بر اساس نتایج حاصل، اثر این کاهش فشار در فشارهای حدود 5 متر، می تواند تا حدود 55 درصد بر دبی خروجی از محل نشت در حالت مستغرق نسبت به حالت نشت در هوای آزاد اثرگذار باشد؛ اما در فشارهای بالای 20 متر این اثر ناچیز بوده و به زیر 10 درصد کاهش می یابد. البته مقدار این کاهش به تراز ارتفاعی آب روی محل نشت و میزان فشار داخل لوله بستگی دارد. درنهایت رابطه ای بین دبی خروجی از محل نشت و فشار داخل مجموعه ارائه شده است.کلید واژگان: ANSYS، آزمایشگاهی، رابطه نشت، فشار، لوله فولادی، جت مستغرقFew studies are made about the effect of environmental conditions on the leakage flow rate. Some of these researches show that environmental conditions play an important role in leakage flow rate. On the contrary, there are other researches opposing this idea. The purpose of this research is to investigate evidence of the effect of environmental conditions on leakage flow rate. Based on this idea, some tests were carried out in the college of engineering at the university of Tehran, using a circular experimental set up at high pressure discharging to the atmosphere. Various ranges of pressure up to 50 m of water were imposed on a 110 mm diameter aged steel pipe with some holes on the pipe surface. In the next step, by using the experimental results, an analytical model in ANSYS software was developed and outputs were compared with experimental data. Later a proper mathematical turbulent model was derived. Furthermore, the effect of submerged conditions was investigated by this appropriate numerical model. The results of this research showed that static pressure fluctuations in submerged jet had significant effect on discharge and the rate of leakage was reduced in comparison with atmospheric discharge. According to the results, pressure reduction in 5 m head pressure could affect the leakage discharge under submerged condition up to 55 percent when compared with the case of discharging to the atmosphere. With pressures above 20 m, smaller changes were observed. These changes were limited to less than 10 percent. The aforementioned reduction depended on the imposed head of water at leakage point and pressure value inside the pipe. Finally, a relationship between leakage outflow and internal pressure of pipe was proposed.Keywords: ANSYS, Experimental, Leakage head-discharge relationship, Steel pipe, Submerged jet
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The fiber reinforced polymer (FRP) sheets known for their high strength and stiffness predominantly used in retrofitting and strengthening of reinforced concrete (RC) structural member. In this paper, RC beams reinforced externally with different type of FRP sheets (BFRP, CFRP and GFRP) using U-wraps in shear zone modelled analytically using finite element software to check the reliability by comparing the results obtained from finite element analysis with the experimental results from past studies. The comparisons are made for load deflection plot, crack pattern at failure and failure loads. The finite element analysis yields results which show a good agreement with observations and data from experimental testing.Keywords: RC beam, retrofitting, FRP, shear strengthening, FEM, ANSYS
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This work is intended to analyse the behaviour steel beams with apertures under high temperatures rise due to fire using finite elements simulations with ANSYS software. It includes a structural fire analysis and a comparative study of cellular and castellated steel beams which takes into account transient temperature effect, material and geometric non-linear behaviour. FE models which estimate limiting time, mid-span deflection and failure temperature are presented for hexagonal and circular types of web opening shapes under several uniform load levels. The study shows that for any beam with closely spaced openings failure in fire will in most cases be caused by failure of the steel web. The numbers of web-openings and cells as well as their shapes are critical for the behaviour of castellated sections and cellular beams under fire condition.Keywords: ISO834 fire, web, aperture, cellular beam, finite element modelling, time, deflection behaviour, ANSYS
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The aim of the research work is to present the results of experimental and analytical studies concerning the cyclic behaviour of reinforced concrete (RC) beams retrofitted with externally bonded Slurry Infiltrated Fibrous Concrete (SIFCON). This study presents a method for retrofitting of reinforced concrete beams to enhance the actual load carrying capacity using High Performance Fibre Reinforced Cementitious Composites (HPFRCCs) laminates SIFCON and which are directly bonded to the tension face at the soffit of the beam by epoxy adhesives and are tested under compression cyclic loading. A total of four beams of size 125 mm width × 250 mm depth × 3200 mm length with effective span of 3000 mm are cast and tested in the laboratory. The laminates of size 125 mm width × 25 mm depth × 2950 mm length are bonded in between the beam supports. Two beams were retrofitted with SIFCON laminates (RBSF1 and RBSF2) and remaining two beams were tested under compression cyclic loading (CB1 and CB2) as a base line specimen. Cyclic responses of all the beams were evaluated in terms of strength, stiffness, ductility ratio, energy absorption capacity factor, compositeness between laminate and concrete, and the associated failure modes. Comparison was made between the numerical (ANSYS) with the experimental results. The results show that the strengthened beams exhibit increased flexural strength, enhanced flexural stiffness, and composite action until failure.Keywords: Composite beams, HPFRCCs, SIFCON, Metallic fibres, ANSYS
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نشریه مهندسی عمران و محیط زیست دانشگاه تبریز، سال چهل و پنجم شماره 1 (پیاپی 78، بهار 1394)، صص 93 -102آبگیر های جانبی برای انحراف و انتقال جریان در سیستم های هیدرولیکی استفاده می شوند. نصب فلومتر ها یکی از رایج ترین روش های اندازه گیری سرعت و یا دبی در کانال های روباز می باشد. فلومتر ها به کمک اندازه گیری سرعت متوسط در حجم محدودی از جریان با استفاده از یک ضریب کالیبراسیون، سرعت متوسط مقطع را محاسبه می کنند. در نزدیکی محل آبگیر به دلیل ماهیت سه بعدی و پیچیده جریان و وجود جریان های ثانویه قوی در مقطع عرضی، سرعت اندازه گیری شده توسط فلومتر در ناحیه محدود مورد اندازه گیری توسط سنسور، با سرعت متوسط واقعی کانال اختلاف دارد. اما با وجود این اختلاف، میانگین سرعت های اندازه گیری شده توسط فلومتر مطابقت نسبتا خوبی با سرعت متوسط واقعی کانال دارد. سرعت جریان های عبوری و ابعاد هندسی کانال های فرعی و اصلی بر روی اختلاف بین سرعت اندازه گیری شده توسط فلومتر و سرعت متوسط واقعی جریان موثر هستند. در این مطالعه، مدل آزمایشگاهی آبگیر جانبی به صورت سه بعدی با استفاده از نرم افزارANSYS-CFX، شبیه سازی شده است. بعد از صحت سنجی با استفاده از مدل عددی و نتایج مدل آزمایشگاهی، دقت اندازه گیری فلومتر در نسبت عرض های مختلف کانال اصلی به کانال فرعی مورد بررسی قرار گرفت. نتایج نشان می دهند که با افزایش نسبت عرض کانال فرعی به کانال اصلی از 6/ 0 تا 1، حداکثر خطای اندازه گیری فلومتر از 18 درصد تا 139 درصد افزایش می یابد. با افزایش بیشتر عرض در کانال فرعی به دلیل کاهش سرعت، میزان خطای فلومتر کاهش می یابد، به طوری که در نسبت عرضی 4/ 1 این خطا به 47 درصد می رسد.
کلید واژگان: آبگیر های جانبی، فلومتر، سرعت متوسط جریان، نسبت عرض ها، ANSYS، CFXJournal of Civil and Environmental Engineering University of Tabriz, Volume:45 Issue: 1, 2015, PP 93 -1021.IntroductionOne of the ways of controlling floods and deviating a part of the flow in open channels is to use intakes. Identifying the flow model and calculating the passing discharge are amongst the crucial issues of hydraulics engineering. Using flow meters is one of the most popular methods of measuring the velocity or the discharge in open channels. Flowmeters rely on measuring the velocity and they calculate the discharge through the continuity equation as the multiplication of the mean velocity by the wet cross section (Q = A(h ×Umean). The A (h) cross section is computed through measuring the height of the free surface (h) and using precise geometrical information. Determining the mean velocity passing through the cross section requires special knowledge. It should be noted that due to the three-dimensional and complex nature of the flow near the intake location and the presence of strong secondary flows in the transverse cross section, the velocity measured by the sensors located on the flowmeter in the intended area is different from the actual mean velocity of the channel. However, despite this difference, the mean velocities measured by the flowmeter are fairly consistent with the actual mean velocity area of the channel. The velocity of the passing flows and the geometrical size of the main and branch channels affect the difference between the velocity measured by the flowmeter and the actual mean velocity of the flow [1-6].2.MethodologyThe experimental model [7] of a 90-degree intake with a rectangular cross section has been three dimensionally simulated by the ANSYS- CFX software in this study. The k-ω turbulence model has been used to solve the turbulence equations in this simulation. The results of the numerical model have been compared with that of the experimental model in order to examine the accuracy of the numerical model. The flowmeter measurement accuracy was examined in different width ratios wr= 1.4, 1.2, 1.0, 0.8, 0.6 (the branch channel width to the main channel width) through using the numerical model and the results of the experimental model after verification. With regard to the fact that the discharge passing through the branch channel is constant in all the wr states, the effective ratio for fluid movement increases in the branch channel as the width ratio increases as the result of an increase in the branch channel width from wr= 0.6 to wr= 1.4. This causes the width of the separation zone and the contraction degree of the compression zone to increase and the longitudinal velocity to get close to v*max equal to -0.6. Therefore wr= 1.4 width ratio is considered the critical width ratio among all the presented wrs regarding the vastness and density of the separation zone and the compression zone. An increase in the width ratio of the channels increase the difference between the read velocities and the mean velocity of the branch channel which means as the width ratio increases from wr= 0.6 to wr=1.0, the difference between the read velocity and the branch channel mean velocity increases from 18 percent to 139 percent at the peak point. The reason behind this error percentage increase is that as wr= 0.6 increases to wr= 1.0, the size of the separation zone increases and the density of the contraction zone increases as well however this increasing process continues to wr= 1.0, width ratio and after the width ratio of 1 as the width ratio of the channels increase from wr= 1.0 to wr= 1.4, the difference between the read velocities and the actual mean velocity decreases in the branch channel which means as the width ratio increases from wr= 1.0 to wr= 1.4, the difference between the read velocity and the branch channel mean velocity drops from 139 percent to 47 percent because as the width ratio increases from wr= 1.0 to wr= 1.4, the effective ratio of fluid movement increases in the channel and the difference between the read velocity and the branch channel mean velocity increases. This is because when the channels’ width ratios become excessively large, the branch channel’s cross section excessively increases and as a result the flow velocity significantly drops and this decreases in the velocity leads to lesser volume of flow entering the separation zone and the value of vmax decreases in the compression zone and so the difference between the read longitudinal velocity and the branch channel mean velocity decreases.4.ConclusionsWith regard to the results, the flowmeter measurement accuracy is fairly desirable in the middle of the channel in specific longitudinal distances except for the rotating areas. In case the flowmeters are installed exactly in the complex rotation areas and the deviation location their measurement accuracy decreases and the maximum error is equal to 139 percent in some cross sections and this error percentage occurs in wr= 1.0 width ratio (Fig. 1). In other words when the branch channel width is equal to the main channel width, the difference between the velocity read by the flowmeter and the branch channel mean velocity reaches its maximum level.Keywords: Intakes, Channel width, Velocity distribution, Flowmeter, ANSYS, CFX software -
Load displacement behavior of concrete beam under monotonic static and low velocity impact loadExperiments were carried out to observe the influence of loading type on concrete beam specimens. Beam specimens made of similar concrete mixture with the same geometry were tested under three point static loading and low velocity drop weight impact loading. Load – displacement behavior, absorbed energy dissipation capacity, stiffnesses, failure modes of beam specimens were obtained and discussed. A finite element (FE) model was prepared in ANSYS Explicit STR software and the results of FE analysis were compared with experimental results. The loading type and loading rate have significant influence on the maximum load, stiffness and energy dissipation capacity. Numerical results obtained from ANSYS Explicit STR FE models are consistent with the experimental results.Keywords: Load, displacement behavior, Concrete beam, Low velocity impact behavior, Drop weight, ANSYS
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در این نوشتار، تاثیر نحوه ی قرارگیری مهاربندها در رفتار قاب های فولادی دوبعدی با استفاده از حل مثال های عددی بررسی شده است. سه قاب خمشی فولادی دوبعدی با شکل بندی و حالات بارگذاری مختلف، توسط یک تحلیل غیرارتجاعی مرتبه ی دوم، تحلیل و نمودار نیرو تغییرمکان جانبی هر حالت رسم شده است. سپس با رگرسیون گیری خطی از این نمودارها ضریب سختی جانبی جدیدی تعریف شده است که چکیده یی از رفتار سازه است. روش مورد مطالعه با استفاده از نرم افزار «A N S Y S» می تواند ضریب بار نهایی قاب «وگل» را با خطای بیشینه ی 3٫0٪ نسبت به روش های تحلیل ناحیه ی خمیری «وگل» و تحلیل مفصل خمیری «کیم و همکاران» برآورد کند. همچنین با حدود هشتاد تحلیل انجام شده در این پژوهش مشخص شد که آرایش مهاربندها در سازه می تواند تا چندین برابر مقاومت نهایی، تغییرمکان نهایی و سختی جانبی سازه را افزایش و یا کاهش دهد.
کلید واژگان: مهاربند، غیرخطی هندسی، غیرخطی مواد، اثرهای مرتبه ی دوم، اثرات غیرارتجاعی، A N S Y SIn this paper, some material and geometrical nonlinear effects, and methods of second order nonlinear advanced analysis are investigated. Numerical methods are used to investigate the effect of replacing concentric braces on steel frame performance. Three, six, ten and twenty story 2D frames with eight different arrays of braces and four loadings are analyzed. ANSYS finite element software was utilized to perform second order nonlinear analysis and Lateral Load-Displacement curves were drawn. Curves linear regression was calculated to define new lateral stiffness showing the frames performance. The method used in this investigation is plastic region second-order nonlinear analysis and is applied to structural system analysis, based on the modified finite element method. The plastic-elastic hinge model refers to the simplest analysis. By comparison, the plastic-elastic region model illustrates the most reformations. The plastic region analysis method models plastic development in the whole structure. This method is performed in two ways. The first one is lattice, using finite element, and the second is based on the Beam-Column theory. The second order nonlinear analysis used in this paper enumerated plastic region advanced analysis, and includes nonlinearity in geometry and material, like second order effects (P-$\pounds$ and P-$\Delta$), redistribution of internal loads, because of plastic region formation, lateral stiffness degradation, based on steel yielding, and shear deformations. To apply all the mentioned factors in the analysis, many methods and codes were suggested by other authors. For example, the AISC-LRFD code applies an effective length factor, enhancement factor and interaction design term of the mentioned factors in analysis and design. The reason is because of the low quality of computers when codes were originally established. Second order nonlinear advanced analysis could apply all the mentioned terms in the design procedure directly. This method assimilates analysis and design, so, designers do not need different codes. It is hoped that these methods will be used as a common structural analysis/design method by developing computers. Each analysis that could determine the strength and stability of structural systems and isolated members in such a way that does not need to control isolated members capacity and the definition of effective length coefficient is enumerated as advanced analysis. This method gives much information to designers about the behavior of structures exposed to external loads and environmental conditions. In this investigation, a BEAM element was utilized to model structures. Results show that applying the method used in ANSYS could determine the frame ultimate loading coefficient of ``Vogel Frame'' by 3 percent tolerance, compared to the plastic region analysis method and plastic hinge analysis. Performing about eighty analyses denoted that changing bracing arrays could increase or decrease ultimate strength, ultimate displacement and lateral stiffness multiple times. To increase the ultimate strength coefficient, the best option is using an X-brace frame. Furthermore, applying diagonal bracing in off side spans could decline the lateral displacement of the structure. Frames without a bracing system and with Chevron and eccentric bracing systems demonstrate the most nonlinearity.
Keywords: Brace, Nonlinear Geometric, Nonlinear Material, Second, Order Effects, Inelastic Effects, ANSYS -
This paper presents the nonlinear Finite Element Analysis (FEA) that has been carried out to simulate the behaviour of failure modes of Reinforced Concrete (RC) beams strengthened in flexure and shear by Fibre Reinforced Polymer (FRP) laminates. Four beams were modelled in FEM software using ANSYS. In those four beams, two beams were control beams without FRP and other two beams were Carbon Fibre Reinforced Polymer (CFRP) strengthened beams. A quarter of the full beam was used for modelling by taking advantage of the symmetry of the beam, loading and boundary conditions. From the analyses the load deflection relationships until failure, and crack patterns were obtained and compared with the experimental results available in the Literatures. The load deflection plots obtained from numerical studies show good agreement with the experimental plots reported by Balamuralikrishnan & Antony Jeyasehar, and Amer M. Ibrahim & Mohammed Sh. Mahmood. There was a difference in behaviour between the RC beams strengthened with and without CFRP layers. The crack patterns obtained in FEA in the beams were also presented. The use of computer software to model these elements is much faster, and extremely cost-effective. Therefore, modelling of experimental beams can be adoptable in ANSYS. Validation of experimental results can also be done using ANSYS.Keywords: Fibre Reinforced Polymer, finite element Analysis, ANSYS, CFRP, modelling
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سابقه استفاده از فرم سازه ای قوس در ایران به هزاران سال می رسد. قوس از اجزای بنیادین در معماری ایران است. دیگر سیستم های سازه ای نظیر طاق و گنبد از قوس ها بدست آمده است. قوس ها، طاق ها و گنبدهای مصالح بنایی توجه و حیرت بسیاری از محققان را در طول قرن ها برانگیخته و امروزه مطالعات ویژه ای در این زمینه در حال انجام است. این فرم ها در بناهای تاریخی و خطوط ریلی و جاده ای بسیاری از کشورهای دنیا قابل مشاهده است. در این تحقیق، پایداری انواع قوس های ایرانی تحت وزن، سربار و زلزله ارزیابی شده است. پرکاربردترین قوس های ایرانی پس از مدل سازی هندسی در نرم افزار AutoCAD، برای مدل سازی اجزای محدود به محیط نرم افزار ANSYS انتقال یافت. تحلیل استاتیکی، ارتعاش آزاد و دینامیکی خطی و غیرخطی بر روی مدل اجزای محدود انجام شده است. برای تحلیل دینامیکی از 3 شتاب نگاشت تکان قوی استفاده شده است. پس از مقایسه نتایج تحلیل های گفته شده، مشخص شده است که قوس های سهمی باربری مناسبی نسبت به دیگر قوس ها دارند همچنین زمان و نحوه فروپاشی قوس ها و محل ترک های اولیه بدست آمده است.
کلید واژگان: پایداری لرزه ای، قوس های ایرانی، تحلیل دینامیکی، رفتار غیرخطی مصالح، ANSYSThe application of structural arch form in Iran goes back to as far as thousands of years ago. Arch is a fundamental component of Iranian architecture. Other structural systems such as vaults and domes which are used widely in variety of structures are indeed derived from arches. In the present study, the stability of various Iranian arches versus their weight, surcharge and earthquake action is investigated. The selected arches are some of the most applied Iranian arches like: parabolic-shaped arches, onion-shaped arches, four-centered pointed arches, obtuse angel arches and basket-handle arches. The selected arches are modeled in AutoCAD software and then are exported into the ANSYS software for necessary analyses. The static analysis, modal analysis and linear and non-linear dynamic analysis have been carried out on the finite element models of the arches. Comparison of the results of the analyses showed that for the same span and thickness in various Iranian arches analyzed in the present study, the parabolic-shaped arch has a better bearing with respect to gravity and lateral loads. The static stability of the arches under the gravity load increases with rise to span ratio of the arch. The other factor that affects the arch stability is its angle of contact to the baseline. According to the two above mentioned factors the stability of the selected arches increases in the following order: the semi-elliptical arch, the parabolic-shaped arch, basket-handle arch, circular arch and four-centered pointed arch. The eigne-value analyses have shown that the natural period of the arch in sensitive to the form of the crown. For the same span, the arches with tipped crown possess larger periods. In this regard, the fundamental period for parabolic arch is the least. This shows that this type of arch is stiffer that the other ones. For dynamic analysis of the selected arches, three strong ground motions of Kobe of Japan in 1995 (ML=7.2), Tabas of Iran in 1978 (ML=7.8) and Manjil of Iran in 1990 (Mw=7.4) were selected. Again, the time history analysis of the arches shows that the strongest arch against the selected accelerograms is parabolic arch; and the order of relative seismic stability of the arches descending from high to low is as following: the parabolic-shaped arch, the basket handle arch, the four-centered pointed arch, the Semi-elliptical arch and the circular arch. Also, under the Kobe earthquake accelerogram, the parabolic arch showed no collapse. However, the other arches encountered collapse and among the circular arch collapsed at 5.8 seconds as the first arch and the basket handle arch collapsed at 8.5 as the last one. As another result, the location of cracks in the arches damaged by seismic loading was in the internal face of the arch.Keywords: Seismic stability, Persian arches, FE modeling, Seismic vulnerability, Non, linear analysis, ANSYS
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