A new method for determination of natural frequency in bending vibration mode of single-walled carbon nanotubes
Subject Areas : Journal of Simulation and Analysis of Novel Technologies in Mechanical Engineering
1 - گروه مهندسی مکانیک، دانشگاه آزاد اسلامی واحد شهریار، شهریار، ایران
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[1] I. Elishakoff, D. Pentaras, Fundamental natural frequencies of double-walled carbon nanotubes, Journal of Sound and Vibration, 322 (2009) 652–664
[2] A. C. Eringen, Nonlocal polar elastic, International Journal of Engineering Science, 1972, 10, l-16
[3] M. Ferrari, V. T. Granik, A. Imam, J. Nadeau, Advances in Doublet Mechanics, 1997, Springer, Berlin
[4] V. T. Granik, 1978, Microstructural mechanics of granular media, Technique Report IM/MGU 78-241, Institute of Mechanics of Moscow State University, in Russian.
[5] V. T. Granik , M. Ferrari, Microstructural mechanics of granular media, Mechanics of Materials 15 (1993) 301-322
[6] M. Kojic, I. Vlastelica, P. Decuzzi, V. T. Granik, M. Ferrari, A finite element formulation for the doublet mechanics modeling of microstructural materials, Comput. Methods Appl. Mech. Engrg. 200 (2011) 1446–1454
[7] J. Xin, L. X. Zhou, W. J. Ru, Ultrasound Attenuation in Biological Tissue Predicted by the Modified Doublet Mechanics Model, Chin. Phys. Lett. 26(7) (2009) 074301.1-074301.4
[8] M. Ferrari, Nanomechanics, and Biomedical Nanomechanics: Eshelby's Inclusion and Inhomogeneity Problems at the Discrete Continuum Interface, Biomedical Microdevices 2(4), 273-281, 2000
[9] F. Gentile, J. Sakamoto, R. Righetti, P. Decuzzi, M. Ferrari, A doublet mechanics model for the ultrasound characterization of malignant tissues, J. Biomedical Science and Engineering, 2011, 4, 362-374
[10] S. S. Lin, Y. C. Shen, Stress fields of a half-plane caused by moving loads-resolved using doublet mechanics, Soil Dynamics and Earthquake Engineering 25 (2005) 893–904
[11] M. H. Sadd, Q. Dai, A comparison of micro-mechanical modeling of asphalt materials using finite elements and doublet mechanics, Mechanics of Materials 37 (2005) 641–662
[12] J. Y. Fang, Z. Jue, F .Jing, M. Ferrari, Dispersion analysis of wave propagation in cubic-Tetrahedral assembly by doublet mechanics, Chin.Phys.Lett, 21(8) (2004) 15621565
[13] M. H. Sadd, Elasticity theory, applications, and numeric, 2005, Elsevier, New York
[14] M. Ferrari, BioMEMS and Biomedical Nanotechnology, Volume I Biological and Biomedical Nanotechnology, 2006, Springer, New York
[15] Fatahi-Vajari, A. and Imam, A.: Axial vibration of single-walled carbon nanotubes using doublet mechanics. Indian Journal of Physics. 90(4), 447–455 (2016)
[16] A. Fatahi-Vajari and A. Imam, Analysis of radial breathing mode of vibration of single-walled carbon nanotubes via doublet mechanics, ZAMM, 96(9) 2016
[17] Iijima S., 1991, Helical microtubes of graphitic carbon, Nature (London) 354, 56–58
[18] R. Farzadi, H. Milani Moghaddam, A. Bahari, Numerical study on electronic properties of a molecular wire based on BC3 zigzag nanotube , Indian Journal of Physics, 2014, 88(7) 677-682
[19] H. Pal, V. Sharma, Effect of sintering on mechanical and electrical properties of carbon nanotube based silver nanocomposites,in Indian Journal of Physics, 2015 ,(89)3, 217-224
[20] P. Ghosh, T. Soga, R. A. Afre, T. Jimbo, Simplified synthesis of single-walled carbon nanotubes from a botanical hydrocarbon, Turpentine oil, Journal of Alloys and Compounds 462 (2008) 289–293
[21] S. M. Bachilo, M. S. Strano, C. Kittrell, R. H. Hauge, R. E. Smalley, R. B. Weisman, Structure-Assigned Optical Spectra of Single-Walled Carbon Nanotubes, SCIENCE, 298, 2002, 2361-2366
[21] D. Sanchez-Portal, E. Artacho, J. M. Soler, A. Rubio, P. Ordejon, "Ab initio structural, elastic, and vibrational properties of carbon nanotubes", Physical Review B, 59(19), (1999), 12678.
[22] S. S. Gupta, F. G. Bosco, R. C. Batra, Wall thickness and elastic moduli of single-walled carbon nanotubes from frequencies of axial, torsional and in extensional modes of vibration, Computational Materials Science 47 (2010) 1049–1059
[23] S.S. Gupta, R.C. Batra, Continuum structures equivalent in normal mode vibrations to single-walled carbon nanotubes, Computational Materials Science 43 (2008) 715–723
[24] A. Szabó, C. Perri, A. Csató, G. Giordano, D. Vuono and J. B. Nagy, Synthesis Methods of Carbon Nanotubes and Related Materials, Materials, 2010, 3, 3092-3140
[25] F. Taleshi, A. A. Hosseini, M. Mohammadi, M. Pashaee, Effect of hydrocarbon gas on synthesis and diameter of carbon nanotubes, Indian Journal of Physics, 2013 , 87(9) 873-877
[26] HONGJIE DAI, Carbon Nanotubes: Synthesis, Integration, and Properties, American Chemical Society, 2002, 35, 1035-1044
[27] I. Elishakoff, D. Pentaras, Fundamental natural frequencies of double-walled carbon nanotubes, Journal of Sound and Vibration, 2009, 322(4) 652-664
[28] R. Ansari, R. Gholami, H. Rouhi, Vibration analysis of single-walled carbon nanotubes using different gradient elasticity theories, Composites: Part B 43 (2012) 2985–2989
[29] F Sohani, H.R Eipakchi, Response Determination of a Beam with Moderately Large Deflection Under Transverse Dynamic Load Using First Order Shear Deformation Theory, Journal of Solid Mechanics, 5(4) 2013, 391-401
[30] Sh Hosseini – Hashemi, M Fakher, R Nazemnezhad, Surface Effects on Free Vibration Analysis of Nanobeams Using Nonlocal Elasticity: A Comparison Between Euler-Bernoulli and Timoshenko, Journal of Solid Mechanics, 5(3) 2013, 290-304
[31] A Ghorbanpour Arani, H Rabbani, S Amir, Z Khoddami Maraghi, M Mohammadimehr, E Haghparast, Analysis of Nonlinear Vibrations for Multi-walled Carbon Nanotubes Embedded in an Elastic Medium, Journal of Solid Mechanics, 3( 3) 2011, 258-270
[32] J. Bocko, P. Lengvarský, Bending Vibrations of Carbon Nanotubes by using Nonlocal Theory, Procedia Engineering 96 ( 2014 ) 21 – 27
[33] R Ranjan, Nonlinear Finite Element Analysis of Bending of Straight Beams Using hp-Spectral Approximations, Journal of Solid Mechanics, 3(1) 2011, 96-113
[34] Fatahi-Vajari, A.: A new method for evaluating the natural frequency in radial breathing like mode vibration of double-walled carbon nanotubes. ZAMM. Doi: 10.1002/zamm.201600234
[35] Fatahi-Vajari, A. and Imam, A. Torsional vibration of single-walled carbon nanotubes using doublet mechanics. ZAMP. Doi: 10.1007/s00033-016-0675-6
[36] Fatahi-Vajari, A. and Imam, A.: Lateral Vibrations of Single-Layered Graphene Sheets Using Doublet Mechanics. Journal of Solid Mechanics. 8(4), 875-894 (2016)