과제정보
The authors extend their appreciation to the Deanship of Scientific Research at King Khalid University for funding this work through research groups under grant number R.G.P.2/2/43.
참고문헌
- Abouelregal, A.E., Mohammad-Sedighi, H., Faghidian, S.A. and Shirazi, A.H. (2021), "Temperature-dependent physical characteristics of the rotating nonlocal nanobeams subject to a varying heat source and a dynamic load", Facta Universitatis, Series: Mech. Eng., 19(4), 633-656. https://doi.org/10.22190/FUME201222024A.
- Ahmed, R.A., Fenjan, R.M. and Faleh, N.M. (2019), "Analyzing post-buckling behavior of continuously graded FG nanobeams with geometrical imperfections", Geomech. Eng., 17(2), 175-180. https://doi.org/10.12989/gae.2019.17.2.175.
- Alibeigloo, A. and Shaban, M. (2013), "Free vibration analysis of carbon nanotubes by using three-dimensional theory of elasticity", Acta Mech., 224(7), 1415-1427. https://doi.org/10.1007/s00707-013-0817-2.
- Ansari, R. and Arash, B. (2013), "Nonlocal Flugge shell model for vibrations of double-walled carbon nanotubes with different boundary conditions", J. Appl. Mech., 80(2), 021006. https://doi.org/10.1115/1.4007432
- Ayat, H., Kellouche, Y., Ghrici, M. and Boukhatem, B. (2018), "Compressive strength prediction of limestone filler concrete using artificial neural networks", Adv. Comput. Des., 3(3), 289-302. https://doi.org/10.1155/2016/7648467.
- Azizkhani, M., Kadkhodapour, J., Anaraki, A.P., Hadavand, B.S. and Kolahchi, R. (2020), "Study of body movement monitoring utilizing nano-composite strain sensors contaning Carbon nanotubes and silicone rubber", Steel Compos. Struct., 35(6), 779-788. https://doi.org/10.12989/scs.2020.35.6.779.
- Batou, B., Nebab, M., Bennai, R., Atmane, H.A., Tounsi, A. and Bouremana, M. (2019), "Wave dispersion properties in imperfect sigmoid plates using various HSDTs", Steel Compos. Struct., 33(5), 699-716. https://doi.org/10.12989/scs.2019.33.5.699.
- Benmansour, D.L., Kaci, A., Bousahla, A.A., Heireche, H., Tounsi, A., Alwabli, A.S., Alhebshi, A.M., Al-ghmady, K. and Mahmoud, S.R. (2019), "The nano scale bending and dynamic properties of isolated protein microtubules based on modified strain gradient theory", Adv. Nano Res., 7(6), 443-457. https://doi.org/10.12989/anr.2019.7.6.443.
- Blevins, R.D. (1979), Formulas for Natural Frequency and Mode Shape, Van Nostrand Reinhold, New York, U.S.A.
- Bocko, J. and Lengvarsky, P. (2014), "Vibration of single-walled carbon nanotubes by using nonlocal theory", Am. J. Mech. Eng., 2(7), 195-198. https://doi.org/10.12691/ajme-2-7-5.
- Bouhlali, M., Chikh, A., Bouremana, M., Kaci, A., Bourada, F., Belakhdar, K. and Tounsi, A. (2019), "Nonlinear thermoelastic analysis of FGM thick plates", Coupled Syst. Mech., 8(5), 439-457. https://doi.org/10.12989/acd.2017.2.3.165.
- Civalek, O., Demir, C. and Akgoz, B. (2009), "Static analysis of single-walled carbon nanotubes (SWCNT) based on Eringen's nonlocal elasticity theory", Int. J. Eng. Appl. Sci., 1(2), 47-56.
- Das, S.L., Mandal, T. and Gupta, S.S. (2013), "Inextensional vibration of zig-zag single-walled carbon nanotubes using nonlocal elasticity theories", Int. J. Solids Struct., 50(18), 2792-2797. https://doi.org/10.1016/j.ijsolstr.2013.04.019.
- Demir, C . and Civalek, O. (2016), "Nonlocal finite element formulation for vibration", Int. J. Eng. Appl. Sci., 8(2), 109-117. https://doi.org/10.1155/2020/8786373.
- Demir, E., Callioglu, H., Sayer, M. and Kavla, F. (2020), "Effect of chitosan/carbon nanotube fillers on vibration behaviors of drilled composite plates", Steel Compos. Struct., 35(6), 789-798. https://doi.org/10.12989/scs.2020.35.6.789.
- Ebrahimi, F., Dabbagh, A., Rabczuk, T. and Tornabene, F. (2019), "Analysis of propagation characteristics of elastic waves in heterogeneous nanobeams employing a new two-step porosity-dependent homogenization scheme", Adv. Nano Res., 7(2), 135-143. https://doi.org/10.12989/anr.2019.7.2.135.
- Eltaher, M.A., Almalki, T.A., Ahmed, K.I. and Almitani, K.H. (2019), "Characterization and behaviors of single walled carbon nanotube by equivalent-continuum mechanics approach", Adv. Nano Res., 7(1), 39-49. https://doi.org/10.12989/anr.2019.7.1.039.
- Eringen, A.C. (1983), "On differential equations of nonlocal elasticity and solutions of screw dislocation and surface-waves", J. Appl. Phys., 54, 4703-4710. https://doi.org/10.1063/1.332803.
- Eringen, A.C. (2002), Nonlocal Continuum Field Theories, Springer-Verlag, Berlin, Germany.
- Eringen, A.C. and Edelen, D.G.B. (1972), "On nonlocal elasticity", Int. J. Eng. Sci., 10(3), 233-248. https://doi.org/10.1016/0020-7225(72)90039-0.
- Faleh, N.M., Fenjan, R.M. and Ahmed, R.A. (2020), "Forced vibrations of multi-phase crystalline porous shells based on strain gradient elasticity and pulse load effects", J. Vib. Eng. Technol., 8(6), 925-933. https://doi.org/10.1007/s42417-020-00203-8.
- Farokhian, A. and Salmani-Tehrani, M. (2020), "Surface and small scale effects on the dynamic buckling of carbon nanotubes with smart layers assuming structural damping", Steel Compos. Struct., 37(2), 229-251. https://doi.org/10.12989/scs.2020.37.2.229.
- Fenjan, R.M., Ahmed, R.A. and Faleh, N.M. (2019a), "Investigating dynamic stability of metal foam nanoplates under periodic in-plane loads via a three-unknown plate theory", Adv. Aircr. Spacecr. Sci., 6(4), 297-314. https://doi.org/10.12989/aas.2019.6.4.297.
- Fenjan, R.M., Ahmed, R.A., Alasadi, A.A. and Faleh, N.M. (2019b), "Nonlocal strain gradient thermal vibration analysis of double-coupled metal foam plate system with uniform and non-uniform porosities", Coupled Syst. Mech., 8(3), 247-257. https://doi.org/10.12989/csm.2019.8.3.247.
- Fenjan, R.M., Ahmed, R.A. and Faleh, N.M. (2020a), "Nonlinear vibration characteristics of refined higher-order multi-phase piezo-magnetic nanobeams", Eur. Phys. J. Plus, 135(5), 1-14. https://doi.org/10.1140/epjp/s13360-020-00399-4.
- Fenjan, R.M., Faleh, N.M. and Ahmed, R.A. (2020b), "Geometrical imperfection and thermal effects on nonlinear stability of microbeams made of graphene-reinforced nano-composites", Adv. Nano Res., 9(3), 147-156. https://doi.org/10.12989/anr.2020.9.3.147.
- Fenjan, R.M., Faleh, N.M. and Ridha, A.A. (2020c), "Strain gradient based static stability analysis of composite crystalline shell structures having porosities", Steel Compos. Struct., 36(6), 631-642. https://doi.org/10.12989/scs.2020.36.6.631.
- Fleck, N.A. and Hutchinson, J.W. (1993), "A phenomenological theory for strain gradient effects in plasticity", J. Mech. Phys. Solids, 41(12), 1825-1857. https://doi.org/10.1016/0022-5096(93)90072-N.
- Gupta, S.S., Bosco, F.G. and Batra, R.C. (2010), "Wall thickness and elastic moduli of single-walled carbon nanotubes from frequencies of axial, torsional and inextensional modes of vibration", Computat. Mater. Sci., 47(4), 1049-1059. https://doi.org/10.1016/j.commatsci.2009.12.007.
- Hu, Y.G., Liew, K.M. and Wang, Q. (2012), "Modeling of vibrations of carbon nanotubes", Procedia Eng., 31, 343-347. https://doi.org/10.1016/j.proeng.2012.01.1034.
- Jorio, A. Saito, R., Hafner, J.H., Lieber, C.M., Hunter, M., McClure, T., Dresselhaus, G., Dresselhaus, M.S., (2001), "Structural (n,m) determination of isolated single-wall carbon nanotubes by Resonant Raman scattering", Phys. Rev. Lett., 86(6), 1118-1121. https://doi.org/10.1103/PhysRevLett.86.1118.
- Karami, B., Shahsavari, D. Janghorban, M., Dimitri, R. and Tornabene, F. (2019), "Wave propagation of porous nanoshells", Nanomaterials, 9(1), 22. https://doi.org/10.3390/nano9010022.
- Koochi, A. and Goharimanesh, M. (2021), "Nonlinear oscillations of cnt nano-resonator based on nonlocal elasticity: The energy balance method", Reports Mech. Eng., 2(1), 41-50. https://doi.org/10.31181/rme200102041g.
- Malekzadeh, P. and Heydarpour, Y. (2012), "Free vibration analysis of rotating functionally graded cylindrical shells in thermal environment", Compos. Struct., 94(9), 2971-2981. https://doi.org/10.1016/j.compstruct.2012.04.011.
- Mindlin, R.D. and Tiersten, H.F. (1962), "Effects of couplestresses in linear elasticity", Arch. Ration. Mech. Anal., 11, 415-448. https://doi.org/10.1007/BF00253946
- Mirjavadi, S.S., Forsat, M., Barati, M.R. and Hamouda, A.M.S. (2020), "Nonlinear forced vibrations of multi-scale epoxy/CNT/fiberglass truncated conical shells and annular plates via 3D Mori-Tanaka scheme", Steel Compos. Struct., 35(6), 765-777. https://doi.org/10.12989/scs.2020.35.6.765.
- Muhammad, A.K., Hamad, L.B., Fenjan, R.M. and Faleh, N.M. (2019), "Analyzing large-amplitude vibration of nonlocal beams made of different piezo-electric materials in thermal environment", Adv. Mater. Res., 8(3), 237-257. https://doi.org/10.12989/amr.2019.8.3.237.
- Murmu, T. and Pradhan, S.C. (2009), "Buckling analysis of a single-walled carbon nanotube embedded in an elastic medium based on nonlocal elasticity and Timoshenko beam theory and using DQM", Physica E, 41(7), 1232-1239. https://doi.org/10.1016/j.physe.2009.02.004.
- Narendar, S. and Gopalakrishnan, S. (2011), "Nonlocal wave propagation in rotating nanotube", Results Phys., 1(1), 17-25. https://doi.org/10.1016/j.rinp.2011.06.002.
- Ouakad, H.M., Sedighi, H.M. and Al-Qahtani, H.M. (2020a), "Forward and backward whirling of a spinning nanotube nano-rotor assuming gyroscopic effects", Adv. Nano Res., 8(3), 245-254. https://doi.org/10.12989/anr.2020.8.3.245.
- Ouakad, H.M., Valipour, A., Zur, K.K., Sedighi, H.M. and Reddy, J.N. (2020b), "On the nonlinear vibration and static deflection problems of actuated hybrid nanotubes based on the stress-driven nonlocal integral elasticity", Mech. Mater., 148, 103532. https://doi.org/10.1016/j.mechmat.2020.103532.
- Rakrak, K., Zidour, M., Heireche, H., Bousahla, A. A. and Chemi, A. (2016), "Free vibration analysis of chiral double-walled carbon nanotube using non-local elasticity theory", Adv. Nano Res, 4(1), 31-44. http://doi.org/10.12989/anr.2016.4.1.031.
- Reddy, J.N. and Pang, S.D. (2008), "Nonlocal continuum theories of beams for the analysis of carbon nanotubes", J. Appl. Phys., 103(2), 023511. https://doi.org/10.1063/1.2833431.
- Reddy, J.N. (2007), "Nonlocal theories for bending, buckling and vibration of beams", Int. J. Eng. Sci., 45(2-8), 288-307. https://doi.org/10.1016/j.ijengsci.2007.04.004.
- Safaei, B., Khoda, F.H. and Fattahi, A.M. (2019), "Non-classical plate model for single-layered graphene sheet for axial buckling", Adv. Nano Res., 7(4), 265-275. https://doi.org/10.12989/anr.2019.7.4.265.
- Salah, F., Boucham, B., Bourada, F., Benzair, A., Bousahla, A.A. and Tounsi, A. (2019), "Investigation of thermal buckling properties of ceramic-metal FGM sandwich plates using 2D integral plate model", Steel Compos. Struct., 33(6), 805-822. https://doi.org/10.12989/scs.2019.33.6.805.
- Sedighi, H.M. (2020), "Divergence and flutter instability of magneto-thermo-elastic C-BN hetero-nanotubes conveying fluid", Acta Mechanica Sinica, 36(2), 381-396. https://doi.org/10.1007/s10409-019-00924-4.
- Sedighi, H.M. and Daneshmand, F. (2014), "Static and dynamic pull-in instability of multi-walled carbon nanotube probes by He's iteration perturbation method", J. Mech. Sci. Technol., 28(9), 3459-3469. https://doi.org/10.1007/s12206-014-0807-x.
- Sedighi, H.M. and Malikan, M. (2020), "Stress-driven nonlocal elasticity for nonlinear vibration characteristics of carbon/boron-nitride hetero-nanotube subject to magneto-thermal environment", Physica Scripta, 95(5), 055218. https://doi.org/10.1088/1402-4896/ab7a38
- Sedighi, H.M., Ouakad, H.M., Dimitri, R. and Tornabene, F. (2020), "Stress-driven nonlocal elasticity for the instability analysis of fluid-conveying C-BN hybrid-nanotube in a magneto-thermal environment", Physica Scripta, 95(6), 065204. https://doi.org/10.1088/1402-4896/ab793f
- Shahsavari, D., Karami, B. and Janghorban, M. (2019), "Size-dependent vibration analysis of laminated composite plates", Adv. Nano Res., 7(5), 337-349. https://doi.org/10.12989/anr.2019.7.5.337.
- Soltani, P., Kassaei, A., Taherian, M.M. and Farshidianfar, A, (2012), "Vibration of wavy single-walled carbon nanotubes based on nonlocal Euler Bernoulli and Timoshenko models", Int. J. Adv. Struct. Eng., 4(1), 3. https://doi.org/10.1186/2008-6695-4-3.
- Soltani, P., Saberian, J. and Bahramian, R. (2016), "Nonlinear vibration analysis of single-walled carbon nanotube with shell model based on the nonlocal elasticity theory", J. Computat. Nonlinear Dyn., 11(1), 011002. https://doi.org/10.1115/1.4030753.
- Swain, A., Roy, T. and Nanda, B.K. (2013), "Vibration behavior of single-walled carbon nanotube using finite element", Int. J. Theor. Appl. Res. Mech, Eng., 2, 129-133A.
- Tayeb, T.S., Zidour, M., Bensattalah, T., Heireche, H., Benahmed, A. and Bedia, E.A. (2020), "Mechanical buckling of FG-CNTs reinforced composite plate with parabolic distribution using Hamilton's energy principle", Adv. Nano Res., 8(2), 135-148. https://doi.org/10.12989/anr.2020.8.2.135.
- Toupin, R.A. (1964), "Theory of elasticity with couple stresses", Arch. Ration. Mech. Anal., 17, 85-112. https://doi.org/10.1007/BF00253050.
- Tserpes, K.I. and Papanikos, P. (2005), "Finite element modeling of single-walled carbon nanotubes", Compos. Part B Eng., 36(5), 468-477. https://doi.org/10.1016/j.compositesb.2004.10.003.
- Yang, J., Ke, L.L. and Kitipornchai, S. (2010), "Nonlinear free vibration of single-walled carbon nanotubes using nonlocal Timoshenko beam theory", Physica E, 42(5), 1727-1735. https://doi.org/10.1016/j.physe.2010.01.035.
- Yayli, M.O. (2013), "Torsion of nonlocal bars with equilateral triangle cross sections", J. Computat. Theor. Nanosci., 10(2), 376-379. https://doi.org/10.1166/jctn.2013.2707
- Zhang, X.M., Liu, G.R. and Lam, K.Y. (2001), "Vibration analysis of thin cylindrical shells using wave propagation approach", J. Sound Vib., 239, 397-403. https://doi.org/10.1006/jsvi.2000.3139.
- Zhang, Y.Y., Wang, C.M. and Tan, V.B.C. (2009), "Assessment of Timoshenko beam models for vibrational behavior of single-walled carbon nanotubes using molecular dynamics", Adv. Appl. Math. Mech., 1(1), 89-106.