پیوندهای مفید
آمار
| تعداد نشریات | 8 |
| تعداد شماره‌ها | 414 |
| تعداد مقالات | 5,478 |
| تعداد مشاهده مقاله | 6,010,491 |
| تعداد دریافت فایل اصل مقاله | 5,299,925 |
Small Scale Effect on Vibration of Thermally Postbuckled Monolayer Graphene Nanoribbon Based on Nonlocal Elasticity Theory | ||
| AUT Journal of Mechanical Engineering | ||
| مقاله 6، دوره 4، شماره 2، شهریور 2020، صفحه 215-228 اصل مقاله (1.76 M) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22060/ajme.2019.16038.5799 | ||
| نویسندگان | ||
| Gholam Ali Varzandian1؛ Sima Ziaee* 1؛ Mehrdad Farid2؛ Abbas Niknejad1 | ||
| 1Department of Mechanical Engineering, Yasouj University, Yasouj, Iran | ||
| 2School of Mechanical Engineering, Shiraz University, Shiraz, Iran | ||
| چکیده | ||
| In the present research, vibration behavior is presented for a thermally postbuckled two side clamped monolayer graphene nanoribbon. The monolayer graphene nanoribbon is modeled as a nonlocal orthotropic plate strip which contains small scale effects. The formulations are based on the Kirchhoff’s plate theory, and von Karman-type nonlinearity is considered in strain-displacement relations. The thermal effects are also included and the material properties are assumed to be temperature-dependent. The initial deflection caused by thermal postbuckling and internal loads are taken into account. A coupled system of equations is derived and a new semi analytical solution is obtained. The effects of variation of small scale parameter e0 a to the natural frequencies, deflections and mode shapes of graphene nanoribbon are analyzed and the numerical results are obtained from the nonlocal plate model; also, molecular dynamics simulations are used to investigate different properties of graphene nanoribbon including both buckling and vibrational behaviors. The small scale coefficient is calibrated using molecular dynamics simulations. Numerical results are compared with those of similar researches. Effects of various parameters on the postbuckled vibration of graphene nanoribbon in thermal environments such as scale parameter, length and thermal load are presented. Stability and occurrence probability of internal resonance between vibration modes around a buckled configuration is investigated. | ||
| کلیدواژه‌ها | ||
| Graphene nanoribbon؛ Thermal postbuckling؛ Nonlocal plate model؛ Postbuckled vibration؛ Plate strip | ||
| مراجع | ||
|
[1] B.L. Dasari, J.M. Nouri, D. Brabazon, S. Naher, Graphene and derivatives - Synthesis techniques, properties and their energy applications, Energy, 140 (2017) 766-778.
[2] R. Saito, G. Dresselhaus, M.S. Dresselhaus, physical Properties of Carbon Nanotubes, Imperial College Press, 1998.
[3] D. Sen, K.S. Novoselov, P.M. Reis, M.J. Buehler, Tearing Graphene Sheets From Adhesive Substrates Produces Tapered Nanoribbons, Small, 6(10) (2010) 1108-1116.
[4] F. Scarpa, R. Chowdhury, e.a. K. Kam, Dynamics of mechanical waves in periodic graphene nanoribbon assemblies, Nanoscale Res. Lett., 6(430) (2011).
[5] M. Neek-Amal, F.M. Peeters, Graphene nanoribbons subjected to axial stress, PHYSICAL REVIEW B, 82(085432) (2010).
[6] Y.T. Beni, Size-dependent analysis of piezoelectric nanobeams including electro-mechanical coupling, Mechanics Research Communications, 75 (2016) 67-80.
[7] G.A. Varzandian, S. Ziaee, Analytical Solution of Non- Linear Free Vibration of Thin Rectangular Nano Plates with Various Boundary Conditions Based on Non-Local Theory, Amirkabir Journal of Mechanical Engineering, 48(4) (2017) 331–346.
[8] Y. Tang, Y. Liu, D. Zhao, Wave dispersion in viscoelastic single-walled carbon nanotubes based on the nonlocal strain gradient Timoshenko beam model, Physica E: Low-dimensional Systems and Nanostructures, 87 (2017) 301-307.
[9] Y. Zhen, L. Zhou, Wave propagation in fluid-conveying viscoelastic carbon nanotubes under longitudinal magnetic field with thermal and surface effect via nonlocal strain gradient theory, Modern Physics Letters B, 31(8) (2017) 1750069 (16 pages).
[10] Y.T. Beni, Size-dependent electromechanical bending, buckling, and free vibration analysis of functionally graded piezoelectric nanobeams, journal of intelligent material systems and structures, 27(16) (2016) 2199-2215.
[11] A.C. Eringen, Nonlocal Continuum Field Theories, Springer, New York, 2002.
[12] A.C. Eringen, On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves, J. Appl. Phys., 54 (1983) 4703–4710.
[13] S.C. Pradhan, J.K. Phadikar, Nonlocal elasticity theory for vibration of nanoplates, J. Sound Vib., 325 (2009) 206–223.
[14] R. Nazemnezhad, Nonlocal Timoshenko beam model for considering shear effect of van der Waals interactions on free vibration of multilayer graphene nanoribbons, Composite Structures, 133 (2015) 522-528.
[15] J.-X.S. et.al., Nonlocal vibration of embedded double- layer graphene nanoribbons in in-phase and anti-phase modes, Physica E., 44 (2012) 1136–1141.
[16] T. Ragab, J. McDonald, C. Basaran, Aspect ratio effect on shear modulus and ultimate shear strength of graphene nanoribbons, Diamond & Related Materials, 74 (2017) 9–15.
[17] K. Cai, L. Liu, J. Shi, Q.H. Qin, Winding a nanotube from black phosphorus nanoribbon onto a CNT at low temperature: A molecular dynamics study, Materials Design, 121 (2017) 406-413.
[18] M. López-Suárez, G. Abadal, L. Gammaitoni, R. Rurali, Noise energy harvesting in buckled BN nanoribbons from molecular dynamics, Nano Energy, 15 (2015) 329–334.
[19] A. Farajpour, M. Danesh, M. Mohammadi, Buckling analysis of variable thickness nanoplates using nonlocal continuum mechanics, Physica E., 44 (2011) 719–727.
[20] E. Ventsel, T. Krauthammer, Thin Plates and Shells: Theory, Analysis and Applications, Marcell Dekker Inc., 2001.
[21] S.K. Georgantzinos, G.I. Giannopoulos, N.K. Anifantis, Thermoelastic Analysis of Graphene-Based Nanomaterials, Journal of Computations & Modelling, 7(1) (2017) 1-14.
[22] S. Narendar, S. Gopalakrishnan, Temperature effects on wave propagation in nanoplates, Composites: Part B, 43 (2012) 1275–1281.
[23] Y.Z. Wang, F.M. Li, K. Kishimoto, Thermal effects on vibration properties of double-layered nanoplates at small scales, Composites: Part B, 42(5) (2011) 1311– 1317.
[24] K.-S. Na, J.-H. Kim, Thermal postbuckling investigations of functionally graded plates using 3-D finite element method, Finite Elements in Analysis and Design, 42 (2006) 749-756.
[25] L. Shen, H.S. Shen, C.L. Zhang, Nonlocal plate model for nonlinear vibration of single layer graphene sheets in thermal environments, Comput. Mater. Sci., 48 (2010) 680–685.
[26] H.-S. Shen, Y.-M. Xu, C.-L. Zhang, Prediction of nonlinear vibration of bilayer graphene sheets in thermal environments via molecular dynamics simulations and nonlocal elasticity, Comput. Methods Appl. Mech. Engrg., 267 (2013) 458-470.
[27] N. Yamaki, M. Chiba, Nonlinear vibrations of a clamped rectangular plate with initial deflection and initial edge displacement part I: theory, Thin-Walled Struct., 1 (1983) 3–29.
[28] J.K. Paik, K. Anil, T. amballi, B.J. Kim, Large deflection orthotropic plate approach to develop ultimate strength formulations for stiffened panels under combined biaxial compression/tension and lateral pressure, Thin-Walled Structures, 39 (2001) 215–246.
[29] A.H. Nayfeh, S.A. Emam, Exact solution and stability of postbuckling configurations of beams, Nonlinear Dynamics, 54 (2008) 395–408.
[30] V. Refaeinejad, O. Rahmani, S.A.H. Hosseini, An analytical solution for bending, buckling, and free vibration of FG nanobeam lying on Winkler-Pasternak elastic foundation using different nonlocal higher order shear deformation beam theories, Scientia Iranica F, 24(3) (2017) 1635-1653.
[31] A. Norouzzadeh, R. Ansari, H. Rouhi, Isogeometric vibration analysis of small-scale Timoshenko beams based on the most comprehensive size-dependent theory, Scientia Iranica F, 25(3) (2018) 1864-1878.
[32] H. Farokhi, H. Mergen, G.M. Amabili, Nonlinear resonant behavior of microbeams over the buckled state, Appl. Phys. A., 113 (2013) 297–307.
[33] J.N. Reddy, Theory and Analysis of Elastic plates and Shels: 2nd Edition, Taylor & Francis Group, 2007.
[34] M.T. et.al., Graphene and graphite nanoribbons: Morphology, properties, synthesis, defects and applications, nano today, 5 (2010) 351-372.
[35] M.O. Valappil, V.K. Pillai, S. Alwarappan, Spotlighting graphene quantum dots and beyond: Synthesis, properties and sensing applications, Applied Materials Today, 9 (2017) 350–371.
[36] R. Ansari, S. Sahmani, B. Arash, Nonlocal plate model for free vibrations of single-layered graphene sheets, Physics Letters A, 375 (2010) 53–62.
[37] S.J. Stuart, A.B. Tutein, J.A. Harrison, A reactive potential for hydrocarbons with intermolecular interactions, Journal of Chemical Physics, 112 (2000) 6472–6486.
[38] T.P. Chang, J.Y. Liang, Vibration of Postbuckled Delaminated Beam-Plates, Int .J. Solids Structures, 35(12) (1998) 1199-1217. | ||
|
آمار تعداد مشاهده مقاله: 802 تعداد دریافت فایل اصل مقاله: 416 |
||