اخبار و اعلانات
آمار
| تعداد نشریات | 38 |
| تعداد شمارهها | 1,408 |
| تعداد مقالات | 10,088 |
| تعداد مشاهده مقاله | 11,909,164 |
| تعداد دریافت فایل اصل مقاله | 6,961,283 |
پاسخ دینامیکی یک تیر یکسر گیردار از جنس آلیاژ حافظهدار در تماس با سیال با استفاده از روش تفاضلات مربعی | ||
| مکانیک هوافضا | ||
| مقاله 6، دوره 21، شماره 2 - شماره پیاپی 80، تیر 1404، صفحه 81-98 اصل مقاله (1.33 M) | ||
| نوع مقاله: گرایش دینامیک، ارتعاشات و کنترل | ||
| شناسه دیجیتال (DOI): 10.47176/MAJ.2025.1492 | ||
| نویسندگان | ||
| شهروز یوسف زاده* 1؛ امیرحسین نصراله براتی،2؛ محمدمهدی دوستدار3 | ||
| 1استادیار، گروه مکانیک،واحد الیگودرز،دانشگاه آزاد اسلامی،الیگودرز، ایران | ||
| 2استادیار، گروه مکانیک، واحد الیگودرز، دانشگاه آزاد اسلامی، الیگودرز، ایران | ||
| 3استاد، دانشکده فنی و مهندسی، دانشگاه جامع امام حسین (ع)، تهران، ایران | ||
| تاریخ دریافت: 10 فروردین 1404، تاریخ بازنگری: 21 اردیبهشت 1404، تاریخ پذیرش: 20 خرداد 1404 | ||
| چکیده | ||
| در این تحقیق به بررسی ارتعاش اجباری یک تیر کنسولی از جنس آلیاژ حافظهدار در تماس با سیال پرداختهشده است. معادلات حاکم بر اساس تئـــوری کلاسیک و با بهـــرهگیری از اصل همیلتون استخراجشده و برای مدلسازی رفتار ماده سوپرالاستیک از مدل سهبعدی بوید-لاگوداس استفادهشده است. فشار واردشده از سیال به تیر با حل معادله لاپلاس و ارضای شرایط مرزی آن بهدستآمده است. همچنین در حالت بدون تغییر فاز (آستنیت خالص) تیر کنسولی موردمطالعه در شرایط خطی بررسی و با نتایج سایر محققان مورد مقایسه قرارگرفته است. در ادامه برای تحلیل ارتعاش تیر کنسولی از جنس آلیاژ حافظهدار و حل معادلات در حالتی که تغییر فاز انجام میشود از روش تفاضلات مربعی، نیومارک و الگوریتم نگاشت برگشتی بهره گرفتهشده است. در پایان اثر پارامترهای مختلف هندسی بر روی تیر موردمطالعه قرارگرفته است. نتایج نشان میدهد که روش عددی به کار گرفتهشده برای تحلیل پاسخ زمانی و فرکانسی تیر آلیاژ حافظهدار دارای همگرایی بالایی بوده و تأثیرات غیرخطی ماده ناشی از تغییر فاز هنگام حرکت را بهخوبی پیشبینی میکند. | ||
| کلیدواژهها | ||
| ارتعاش اجباری؛ تیر کنسولی؛ آلیاژ حافظهدار؛ سوپرالاستیک؛ روش تفاضلات مربعی | ||
| عنوان مقاله [English] | ||
| Dynamic response of cantilever beam made of shape memory alloy by differential quadrature method in contact with fluid | ||
| نویسندگان [English] | ||
| Shahrouz Yousefzadeh1؛ Amir Hossein Nasrollah Barati,2؛ Mohammad Mehdi Doustdar,3 | ||
| 1Assistant Professor.Department of Mechanical Engineering, Aligudarz Branch, Islamic Azad University, Aligudarz,. Iran | ||
| 2Assistant Professor, Department of Mechanics, Aligudarz Branch, Islamic Azad University, Aligudarz, Iran | ||
| 3Professor, Technical and Engineering Faculty, Imam Hossein University, Tehran, Iran | ||
| چکیده [English] | ||
| In this research, the forced vibration of a cantilever beam made of shape memory alloy in contact with fluid was investigated. The governing equations are derived based on the first-order shear theory and Hamilton's principle, and the Boyd-Lagodas three-dimensional model was used to model the behavior of superelastic material. The pressure applied from the fluid to the beam was obtained by solving Laplace's equation and satisfying its boundary conditions. Also, in the state without phase change (pure Austenite), the investigated cantilever beam was analyzed in linear conditions and compared with the results of other researchers. In the following, to analyze the vibrations of the cantilever beam made of shape memory alloy and to solve the equations in the state where the phase transformation was performed, the method of square differences, Newmark, and the return mapping algorithm were used. At the end, the effect of different geometric parameters on the beam is studied. The results show that the numerical method used to analyze the time and frequency response of the shape memory alloy beam has high convergence and predicts well the nonlinear effects of the material due to phase transformation during motion. | ||
| کلیدواژهها [English] | ||
| Forced Vibration Cantilever Beam Shape Memory Alloy Pseudo, Elastic Differential Quadrature Method | ||
| مراجع | ||
|
[1] Lagoudas DC. Shape memory alloys: modeling and engineering applications: Springer; 2008. DOI 10.1007/978-0-387-47685-8 [2] Nasrollah Barati AH, Etemadi Haghighi AA, Haghighi S, Maghsoudpour A. Free and forced vibration analysis of shape memory alloy annular circular plate in contact with bounded fluid. Iranian Journal of Science and Technology, Transactions of Mechanical Engineering. 2022:1-16. DOI 10.1007/s40997-021-00477-7 [3] Świtoński E, Mężyk A, Klein W. Application of smart materials in vibration control systems. Journal of Achievements in Materials and Manufacturing Engineering. 2007;24(1):291-6. DOI 10.1007/s1254-021-87541-2 [4] Schwartz M. Encyclopedia of smart materials, 2 volume set2002. [5] Collet M, Foltête E, Lexcellent C. Analysis of the behavior of a shape memory alloy beam under dynamical loading. European Journal of Mechanics-A/Solids. 2001;20(4):615-30. DOI 10.1016/S0997-7538(01)01159-7 [6] Seelecke S. Modeling the dynamic behavior of shape memory alloys. International Journal of Non-Linear Mechanics. 2002;37(8):1363-74. DOI 10.1016/S0020-7462(02)00030-6 [7] Ortı́n J, Delaey L. Hysteresis in shape-memory alloys. International Journal of Non-Linear Mechanics. 2002;37(8):1275-81. DOI 10.1016/S0020-7462(02)00027-6 [8] Han YL, Li Q, Li AQ, Leung A, Lin PH. Structural vibration control by shape memory alloy damper. Earthquake engineering & structural dynamics. 2003;32(3):483-94. DOI 10.1002/eqe.243 [9] Pieczyska E, Gadaj S, Nowacki W, Hoshio K, Makino Y, Tobushi H. Characteristics of energy storage and dissipation in TiNi shape memory alloy. Science and Technology of Advanced Materials. 2005;6(8):889-94. DOI 10.1016/j.stam.2005.07.008 [10] Hashemi S, Khadem S. Modeling and analysis of the vibration behavior of a shape memory alloy beam. International Journal of Mechanical Sciences. 2006;48(1):44-52. DOI 10.1016/j.ijmecsci.2005.09.011 [11] Machado LG. Shape memory alloys for vibration isolation and damping: Texas A&M University; 2007. DOI 10.1088/0964-1526/25/15/10LV32 [12] Jafari A, Ghiasvand H. Dynamic response of a pseudoelastic shape memory alloy beam to a moving load. Journal of Sound and Vibration. 2008;316(1-5):69-86. DOI 10.1016/j.jsv.2008.02.042 [13] Chang S-H. Low frequency damping properties of a NiMnTi shape memory alloy. Materials letters. 2011;65(1):134-6. DOI 10.1016 /j.matlet.2010.09.073 [14] Rinaldi S, Prabhakar S, Vengallatore S, Païdoussis MP. Dynamics of microscale pipes containing internal fluid flow: Damping, frequency shift, and stability. Journal of Sound and Vibration. 2010;329(8):1081-8. DOI 10.1016/j.jsv.2009.10.025 [15] Shiau L-C, Kuo S-Y, Chang S-Y. Free vibration of buckled SMA reinforced composite laminates. Composite Structures. 2011;93(11):2678-84. DOI 10.1016/j.compstruct.2011.06.008 [16] Wang L, Melnik RV. Nonlinear dynamics of shape memory alloy oscillators in tuning structural vibration frequencies. Mechatronics. 2012;22(8):1085-96. DOI 10.1016/j.mechatronics.2012.09.004 [17] Asadi H, Bodaghi M, Shakeri M, Aghdam M. An analytical approach for nonlinear vibration and thermal stability of shape memory alloy hybrid laminated composite beams. European Journal of Mechanics-A/Solids. 2013;42:454-68. DOI 10.1016/j.euromechsol.2013.07.011 [18] Asadi H, Bodaghi M, Shakeri M, Aghdam M. On the free vibration of thermally pre/post-buckled shear deformable SMA hybrid composite beams. Aerospace Science and Technology. 2013;31(1):73-86. DOI 10.1016/j.ast.2013.09.008 [19] Khalili SMR, Dehkordi MB, Carrera E, Shariyat M. Non-linear dynamic analysis of a sandwich beam with pseudoelastic SMA hybrid composite faces based on higher order finite element theory. Composite Structures. 2013;96:243-55. DOI 10.1016/j.compstruct.2012.08.020 [20] Khalili SMR, Dehkordi MB, Carrera E. A nonlinear finite element model using a unified formulation for dynamic analysis of multilayer composite plate embedded with SMA wires. Composite Structures. 2013;106:635-45. DOI 10.1016/j.compstruct.2013.07.006 [21] Dehkordi MB, Khalili S. Frequency analysis of sandwich plate with active SMA hybrid composite face-sheets and temperature dependent flexible core. Composite Structures. 2015;123:408-19. DOI 10.1016/j.compstruct.2014.12.068 [22] Forouzesh F, Jafari AA. Radial vibration analysis of pseudoelastic shape memory alloy thin cylindrical shells by the differential quadrature method. Thin-Walled Structures. 2015;93:158-68. DOI 10.1016/j.tws.2015.03.022 [23] Mojabi SS, Kheirikhah MM. Modeling and intelligent control of vibration of cantilever composite plate embedded with shape memory alloy wires. 2018. DOI 10.1016/as.jsv.2008.02.145 [24] Kumbhar SB, Chavan S, Gawade S. Adaptive tuned vibration absorber based on magnetorheological elastomer-shape memory alloy composite. Mechanical Systems and Signal Processing. 2018;100:208-23. DOI 10.1016/j.ymssp.2017.07.027 [25] Alves MTS, Steffen Jr V, Castro dos Santos M, Savi MA, Enemark S, Santos IF. Vibration control of a flexible rotor suspended by shape memory alloy wires. Journal of Intelligent Material Systems and Structures. 2018;29(11):2309-23. DOI 10.1177/1045389X18758179 [26] Razavilar R, Fathi A, Dardel M, Arghavani Hadi J. Dynamic analysis of a shape memory alloy beam with pseudoelastic behavior. Journal of Intelligent Material Systems and Structures. 2018;29(9):1835-49. DOI 10.1177/1045389X17754268 [27] Kheirikhah M, Khosravi P. Buckling and free vibration analyses of composite sandwich plates reinforced by shape-memory alloy wires. Journal of the Brazilian Society of Mechanical Sciences and Engineering. 2018;40(11):515. DOI 10.1007/s40430-018-1438-4 [28] Nekouei M, Raghebi M, Mohammadi M. Free vibration analysis of laminated composite conical shells reinforced with shape memory alloy fibers. Acta Mechanica. 2019;230:4235-55. DOI 10.1007/s00707-019-02501-z [29] Karimiasl M, Ebrahimi F, Mahesh V. Nonlinear free and forced vibration analysis of multiscale composite doubly curved shell embedded in shape-memory alloy fiber under hygrothermal environment. Journal of Vibration and Control. 2019;25(13):1945-57. DOI 10.1177/1077546319842426 [30] Farajpour M, Shahidi A, Farajpour A. Influences of non-uniform initial stresses on vibration of small-scale sheets reinforced by shape memory alloy nanofibers. The European Physical Journal Plus. 2019;134(5):218. DOI 10.1140/epjp/i2019-12539-8 [31] Gol Zardian M, Moslemi N, Mozafari F, Gohari S, Yahya MY, Burvill C, Ayob A. Flexural and free vibration control of smart epoxy composite beams using shape memory alloy wires actuator. Journal of Intelligent Material Systems and Structures. 2020;31(13):1557-66. DOI 10.1177/1045389X20922899 [32] Ashrafi MJ, Ghaffari I, Elahinia M, Nematollahi MR. Nonlinear free vibration and damping analysis of a microbeam with pseudoelastic shape memory alloy layer based on the modified couple stress theory. Journal of Vibration and Control. 2021;27(7-8):957-68. DOI 10.1177/1077546320935284 [33] Nasrollah Barati AH, Jafari AA, Etemadi Haghighi S, Maghsoudpour A. Nonlinear Forced Vibration of Annular Plate Made of Shape Memory Alloy. Iranian Journal of Mechanical Engineering Transactions of ISME. 2022;23(4):178-204. DOI 10.30506/IJMEP.2021.521999.1756 [34] Danesh, N., Mahmoodabadi, M. J., & Fathi, A. R. (2023). Investigation of the damping performance of a shape memory alloy beam. International Journal of Engineering, 36(7), 1369-1382. [35] Bhaskar, J., Gupta, V., Sharma, A. K., & Bhattacharya, B. (2024). Vibration analysis of active composite structures embedded with long and short shape memory alloy (SMA) fibers. Engineering Research Express, 6(2), 025517. [36] Eftekhari S, Jafari A. A mixed modal-differential quadrature method for free and forced vibration of beams in contact with fluid. Meccanica. 2014;49:535-64. DOI 10.1007/s11012-013-9810-z [37] Zienkiewicz OC, Taylor RL. The finite element method: solid mechanics: Butterworth-heinemann; 2000. [38] Askari E, Jeong K-H, Amabili M. Hydroelastic vibration of circular plates immersed in a liquid-filled container with free surface. Journal of sound and vibration. 2013;332(12):3064-85. DOI 10.1016/j.jsv.2013.01.007 [39] Tariverdilo S, Shahmardani M, Mirzapour J, Shabani R. Asymmetric free vibration of circular plate in contact with incompressible fluid. Applied Mathematical Modelling. 2013;37(1-2):228-39. DOI 10.1016/j.apm.2012.02.025 [40] Bert CW, Malik M. Differential quadrature method in computational mechanics: a review. 1996. DOI 10.1115/1.3101882 [41] Shu C. Differential quadrature and its application in engineering: Springer Science & Business Media; 2012. [42] Reddy JN. An Introduction to Nonlinear Finite Element Analysis: with applications to heat transfer, fluid mechanics, and solid mechanics: Oxford university press; 2015. [43] Zhang H, Zhu R, Shi D, Wang Q. A simplified plate theory for vibration analysis of composite laminated sector, annular and circular plate. Thin-Walled Structures. 2019;143:106252. DOI 10.1016/j.tws.2019.106252 | ||
|
آمار تعداد مشاهده مقاله: 240 تعداد دریافت فایل اصل مقاله: 140 |
||