شناسایی خواص مکانیکی نانوتیر کروم با روش بهینه‌سازی کلونی زنبور عسل مصنوعی بر اساس تحلیل خیز بزرگ با اثرات سطح

نوع مقاله : مقاله پژوهشی

نویسندگان

1 استادیار، گروه مهندسی مکانیک، دانشگاه ولیعصر (عج) رفسنجان، رفسنجان، ایران

2 استادیار، گروه مهندسی مکانیک، دانشگاه صنعتی سیرجان، سیرجان، ایران

10.22034/ijme.2023.407356.1811

چکیده

در این تحقیق، با استفاده از الگوریتم بهینه‌­سازی کلونی زنبور عسل مصنوعی خواص مکانیکی نانوتیر کروم به‌گونه‌ای شناسایی ‌شده است که خطای مدل ریاضی در تفسیر نتایج تجربی حداقل گردد. از آنجا که تئوری‌های محیط پیوسته مرسوم نمی­‌توانند رفتار سازه­‌ها در مقیاس نانو را به ‌درستی شبیه­‌سازی کنند، به علاوه، خیز بزرگ در ابعاد نانو دور از انتظار نیست، لذا، مدل‌سازی ریاضی خیز بزرگ تیر بر پایه اثرات سطح جهت پیش‌بینی رفتار نانوتیر کروم مد نظر قرار گرفته است. خواص مکانیکی نانوتیر کروم مقدار مدول الاستیک، مقدار تنش مانده سطح و خواص تکیه‌گاهی، یعنی، شیب اولیه تیر در تکیه‌گاه و ضریب فنر خمشی تکیه‌­گاه در نظر گرفته شده‌اند. در این تحقیق اثرات خواص مکانیکی بر رفتار نانوتیر، هم به‌صورت مجزا و هم به‌­صورت یکجا بررسی ‌شده‌اند. مشخص گردیده است که برای شبیه‌سازی رفتار دقیق نانوتیر، هر چهار پارامتر باید در نظر گرفته شوند. به علاوه، در بین خواص مکانیکی مورد بررسی، حذف خواص تکیه‌گاهی در محاسبه خیزها، بیشترین خطا و حذف اثرات سطح کمترین خطا را ایجاد می‌­کند. در ضمن، خطا در مقایسه با مراجع قبلی به ‌مراتب کمتر شده است.

کلیدواژه‌ها

عنوان مقاله [English]

Identifying the mechanical properties of chromium nanobeams with artificial bee colony optimization method based on large deflection analysis with surface effects

نویسندگان [English]

  • Yasser Taghipour Lahijani 1
  • Ahmad Mashayekhi 2
  • Vahid Modanloo 2
  • Behnam Akhoundi 2
  • Amin Safi Jahanshahi 2
1 Assistant Professor, Department of Mechanical Engineering, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran
2 Assistant Professor, Department of Mechanical Engineering, Sirjan University of Technology, Sirjan, Iran
چکیده [English]

In this research, by using an artificial bee colony optimization algorithm, the mechanical properties of chromium nanobeams have been identified in such a way that the error of the mathematical model in the interpretation of the experimental results be minimized. Since conventional continuous medium theories cannot correctly simulate the behavior of structures in the nanoscale, also, large deflections in nano dimensions are not far from expected, therefore, the mathematical modeling of the large deflections of the beam based on surface effects is considered to predict the behavior of chromium nanobeams. The mechanical properties of chromium nanobeam have been considered the value of elastic modulus, the value of residual surface stress and the values of support properties, that is, the value of initial slope of the beam at the support and the value of bending spring coefficient of the support. In this research, the effects of mechanical properties have been investigated separately and simultaneously on the behavior of nanobeams. It has been determined that all four parameters must be considered to simulate the exact behavior of the nanobeam. In addition, among the investigated mechanical properties, removing the support properties in the prediction of experimental deflections causes the most errors, and removing the surface effects causes the least errors. Furthermore, the error has been reduced by far compared to previous works.

کلیدواژه‌ها [English]

  • Mechanical Properties
  • Chromium Nanobeam
  • Artificial Bee Colony
  • Deflection
  • Surface Effects

مراجع

[1]  Sahmani S, Mohammadi Aghdam M. Small scale effects on the large amplitude nonlinear vibrations of multilayer functionally graded composite nanobeams reinforced with graphene-nanoplatelets. International Journal of Nanoscience and Nanotechnology: 2018;14(3):207-27.
[2]  Sarafraz A, Sahmani S, Aghdam MM. Nonlinear secondary resonance of nanobeams under subharmonic and superharmonic excitations including surface free energy effects. Applied Mathematical Modelling: 2019;66:195-226. doi: 10.1016/j.apm.2018.09.013
[3]  Sahmani S, Fattahi AM, Ahmed N. Analytical mathematical solution for vibrational response of postbuckled laminated FG-GPLRC nonlocal strain gradient micro-/nanobeams. Engineering with Computers: 2019;35:1173-89. doi: 10.1007/s00366-018-0657-8
[4]  Xie B, Sahmani S, Safaei B, Xu B. Nonlinear secondary resonance of FG porous silicon nanobeams under periodic hard excitations based on surface elasticity theory. Engineering with Computers: 2021;37:1611-34. doi: 10.1007/s00366-019-00931-w
[5]  Nuhu AA, Safaei B. State-of-the-art of vibration analysis of small-sized structures by using nonclassical continuum theories of elasticity. Archives of Computational Methods in Engineering: 2022;29(7):4959-5147. doi: 10.1007/s11831-022-09754-3
[6]  Jiang Y, Li L, Hu Y. A nonlocal surface theory for surface–bulk interactions and its application to mechanics of nanobeams. International Journal of Engineering Science: 2022;172:103624. doi: 10.1016/j.ijengsci.2022.103624
[7]  El-Borgi S, Rajendran P, Trabelssi M. Nonlocal and surface effects on nonlinear vibration response of a graded Timoshenko nanobeam. Archive of Applied Mechanics: 2023;93(1):151-80. doi: 10.1007/s00419-022-02120-6
[8]  Wong EW, Sheehan PE, Lieber CM. Nanobeam mechanics: elasticity, strength, and toughness of nanorods and nanotubes. science: 1997;277(5334):1971-5. doi: 10.1126/science.277.5334.1971
[9]  Cuenot S, Frétigny C, Demoustier-Champagne S, Nysten B. Surface tension effect on the mechanical properties of nanomaterials measured by atomic force microscopy. Physical Review B: 2004;69(16):165410. doi: 10.1103/PhysRevB.69.165410
[10] Jing G, Duan HL, Sun X, Zhang Z, Xu J, Li Y, et al. Surface effects on elastic properties of silver nanowires: contact atomic-force microscopy. Physical review B: 2006;73(23):235409. doi: 10.1103/PhysRevB.69.165410
[11] Babaei Gavan K, Westra HJ, van der Drift EW, Venstra WJ, van der Zant HS. Size-dependent effective Young’s modulus of silicon nitride cantilevers. Applied Physics Letters: 2009;94(23). doi: 10.1063/1.3152772
[12] Nilsson S, Sarwe E-L, Montelius L. Fabrication and mechanical characterization of ultrashort nanocantilevers. Applied physics letters: 2003;83(5):990-2. doi: 10.1063/1.1592303
[13] Nilsson SG, Borrise X, Montelius L. Size effect on Young’s modulus of thin chromium cantilevers. Applied physics letters: 2004;85(16):3555-7. doi: 10.1063/1.1807945
[14] Wu B, Heidelberg A, Boland JJ, Sader JE, Sun, Li Y. Microstructure-hardened silver nanowires. Nano letters: 2006;6(3):468-72. doi: 10.1021/nl052427f
[15] Heidelberg A, Ngo LT, Wu B, Phillips MA, Sharma S, Kamins TI, et al. A generalized description of the elastic properties of nanowires. Nano letters: 2006;6(6):1101-6. doi: 10.1021/nl060028u
[16] Taghipour Y, Zeinali M. Functionally graded nanobeams subjected to large deflection by considering surface effects. Scientia Iranica. 2023. doi: 10.24200/SCI.2023.60997.7113
[17] Søndergaard N, Ghatnekar-Nilsson S, Guhr T, Montelius L. Understanding mechanical properties of nanostructures using Euler’s theory. Nanotechnology: 2007;18(25):255502. doi: 10.1088/0957-4484/18/25/255502
[18] Gordon MJ, Baron T, Dhalluin F, Gentile P, Ferret P. Size effects in mechanical deformation and fracture of cantilevered silicon nanowires. Nano letters: 2009;9(2):525-9. doi: 10.1021/nl802556d
[19] Li X, Ono T, Wang Y, Esashi M. Ultrathin single-crystalline-silicon cantilever resonators: Fabrication technology and significant specimen size effect on Young’s modulus. Applied Physics Letters: 2003;83(15):3081-3. doi: 10.1063/1.1618369
[20] Sapsathiarn Y, Rajapakse R. A model for large deflections of nanobeams and experimental comparison. IEEE transactions on nanotechnology: 2011;11(2):247-54. doi: 10.1109/TNANO.2011.2160457
[21] Taghipour Y, Baradaran GH. A finite element modeling for large deflection analysis of uniform and tapered nanowires with good interpretation of experimental results. International Journal of Mechanical Sciences: 2016;114:111-9. doi: 10.1016/j.ijmecsci.2016.05.006
[22] Namazi N, Alitavoli M, Darvizeh A, Babaei H, Abdoli KF, Rajabiehfard R. Experimental investigation and numerical modelling of dynamic compaction process of pure iron powder with ceramic particles. 2016. [In Persian]
[23] Alinaghi K, Golabi Si. Minimizing piston mass of Neuman Esser reciprocating compressors using genetic algorithm. Iranian Journal of Manufacturing Engineering. 2021;8(5):30-42. [In Persian]
[24] Mashayekhi A, Imanian E, Modanloo V, Akhoundi B. Using the artificial bee colony optimization, crow, and genetic algorithm for identifying and optimizing the dynamic parameters of a haptic device and operator’s hand. Iranian Journal of Manufacturing Engineering. 2023. doi: 10.22034/IJME.2023.389048.1758 [In Persian]
[25] Mashayekhi A, Mashayekhi M, Siciliano B. Identification and optimization of the operator’s hand and a haptic device dynamic, using artificial intelligence methods. International Journal of Dynamics and Control: 2023:1-10. doi: 10.1007/s40435-023-01165-x
[26] Mohamadzadeh Moghaddam MS, Modabberifar M, Mirzakhani B. Design of a new actuator for actuating a linear hydraulic valve and its optimization with genetic algorithm. Iranian Journal of Manufacturing Engineering: 2017;4(1):1-9. [In Persian]
[27] Taghipour Y, Darfarin S. A Method for Comparison of Large Deflection in Beams. International Journal of Applied Mechanics and Engineering: 2022;27(4):179-93. doi: 10.2478/ijame-2022-0058
[28] Felippa CA. Nonlinear finite element methods. Aerospace Engineering Sciences Department of the University of Colorado Boulder. 2001.
[29] Karaboga D. An idea based on honey bee swarm for numerical optimization. Technical report-tr06, Erciyes university, engineering faculty, computer. 2005.

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