年間 6 号発行
ISSN 印刷: 1543-1649
ISSN オンライン: 1940-4352
Indexed in
EFFECTS OF RIPPLING DEFORMATION AND MIDPLANE STRETCHING ON NONLINEAR VIBRATION OF EMBEDDED CARBON NANOTUBE
要約
In this study, based on continuum mechanics and an elastic beam model, nonlinear free vibration of embedded single-walled carbon nanotube considering the effects of rippling deformation and midplane stretching on nonlinear frequency is investigated. By utilizing He's energy balance method, the relationship of nonlinear amplitude and frequency for the single-walled carbon nanotube is expressed. The amplitude frequency response curves of the nonlinear free vibration for the single-walled carbon nanotube are obtained and the effects of rippling deformation, midplane stretching, and surrounding elastic medium on the amplitude frequency response characteristics are discussed. In addition, the rippling instability of carbon nanotubes and the effective parameters on their behavior are briefly discussed.
-
Ansari, R., Hemmatnezhad, M., and Ramezannezhad, H., Application of HPM to the nonlinear vibrations of multiwalled carbon nanotubes. DOI: 10.1002/num.20499
-
Barari, A., Omidvar, M., Ghotbi, A. R., and Ganji, D. D., Application of homotopy perturbation method and variational iteration method to nonlinear oscillator differential equations. DOI: 10.1007/s10440-008-9248-9
-
Barari, A., Kaliji, H. D., Ghadimi, M., and Domairry, G., Non-linear vibration of Euler–Bernoulli beams. DOI: 10.1590/S1679-78252011000200002
-
Bayat, M., Shahidi, M., Barari, A., and Domairry, G., Numerical analysis of the nonlinear vibration of coupled oscillator systems.
-
Bayat, M., Barari, A., Shahidi, M., and Domairry, G., On the approximate analytical solution of Euler-Bernoulli beams.
-
Fereidoon, A., Ghadimi, M., Barari, A., Kaliji, H. D., and Domairry, G., Nonlinear vibration of oscillation systems using frequencyamplitude formulation. DOI: 10.3233/SAV-2011-0633
-
Fu, Y. M., Hong, J. W., and Wang, X. Q., Analysis of nonlinear vibration for embedded carbon nanotubes. DOI: 10.1016/j.jsv.2006.02.024
-
Ganji, S. S., Ganji, D. D., Ganji, Z. Z., and Karimpour, S., Periodic solution for strongly nonlinear vibration system by He's energy balance method. DOI: 10.1007/s10440-008-9283-6
-
Ganji, S. S., Barari, A., Ibsen, L. B., and Domairry, G., Differential transform method for mathematical modeling of jamming transition problem in traffic congestion flow. DOI: 10.1007/s10100-010-0154-7
-
Ganji, S. S., Barari, A., and Ganji, D. D., Approximate analyses of two mass-spring systems and buckling of a column. DOI: 10.1016/j.camwa.2010.12.059
-
Gibson, R. F., Ayorinde, E. O., andWen, Y., Vibrations of carbon nanotubes and their composites: A review. DOI: 10.1016/j.compscitech.2006.03.031
-
He, J. H., Preliminary report on the energy balance for nonlinear oscillations. DOI: 10.1016/S0093-6413(02)00237-9
-
He, J. H., Determination of limit cycles for strongly nonlinear oscillators. DOI: 10.1103/PhysRevLett.90.174301
-
He, J.-H., Hamiltonian approach to nonlinear oscillators. DOI: 10.1016/j.physleta.2010.03.064
-
Ho, X., Ye, L., Rotkin, S. V., Xie, X., Du, F., Dunham, S., Zaumseil, J., and Rogers, J. A., Theoretical and experimental studies of Schottky diodes that use aligned arrays of single-walled carbon nanotubes. DOI: 10.1007/s12274-010-0004-x
-
Ibsen, L. B., Barari, A., and Kimiaeifar, A., Analysis of highly nonlinear oscillation systems using He’s max-min method and comparison with homotopy analysis and energy balance methods. DOI: 10.1007/s12046-010-0024-y
-
Iijima, S., Helical microtubes of graphitic carbon. DOI: 10.1038/354056a0
-
Jiao, L., Zhang, L. D., Liu, J., and Dai, H., Aligned graphene nanoribbons and crossbars from unzipped carbon nanotubes. DOI: 10.1007/s12274-010-1043-z
-
Liu, J. Z., Zheng, Q., and Jiang, Q., Effect of a rippling mode on resonances of carbon nanotubes. DOI: 10.1103/PhysRevLett.86.4843
-
Liu, J. Z., Zheng, Q., and Jiang, Q., Effect of bending instabilities on the measurements of mechanical properties of multiwall carbon nanotubes. DOI: 10.1103/PhysRevB.67.075414
-
Ma, X., Anand, D., Zhang, X., Tsige, M., and Talapatra, S., Carbon nanotube-textured sand for controlling bioavailability of contaminated sediments. DOI: 10.1007/s12274-010-1046-9
-
Mahdavi, M. H., Jiang, L. Y., and Sun, X., Nonlinear vibration of a single-walled carbon nanotube embedded in a polymer matrix aroused by interfacial van der Waals forces. DOI: 10.1063/1.3266174
-
Mehdipour, I., Ganj, D. D., and Mozaffari, M., Application of the energy balance method to nonlinear vibrating equations. DOI: 10.1016/j.cap.2009.05.016
-
Mehdipour, I., Barari, A., and Domairry, G., Application of a cantilevered SWCNT with mass at the tip as a nanomechanical sensor. DOI: 10.1016/j.commatsci.2011.01.025
-
Miansari, Mo., Miansari, Me., Barari, A., and Domairry, G., Analysis of Blasius equation for flat-plate flow with infinite boundary value. DOI: 10.1080/15502280903563541
-
Mirgolbabaei, H., Barari, A., Ibsen, L. B., and Esfahani, M. G., Analytical solution of forced-convective boundary-layer flow over a flat plate. DOI: 10.1016/S1644-9665(12)60049-1
-
Momeni, M., Jamshidi, N., Barari, A., and Ganji, D. D., Application of He's energy balance method to Duffing harmonic oscillators. DOI: 10.1080/00207160903337239
-
Omidvar, M., Barari, A., Momeni, M., and Ganji, D. D., New class of solutions for water infiltration problems in unsaturated soils. DOI: 10.1080/17486020903294333
-
Poncharal, P., Wang, Z. L., Ugarte, D., and de Heer, W. A., Electrostatic deflections and electromechanical resonances of carbon nanotubes. DOI: 10.1126/science.283.5407.1513
-
Ranjbartoreh, A. R., Ghorbanpour, A., and Soltani, B., Double-walled carbon nanotube with surrounding elastic medium under axial pressure. DOI: 10.1016/j.physe.2007.04.010
-
Rasekh, M. and Khadem, S. E., Nonlinear vibration and stability analysis of axially loaded embedded carbon nanotubes conveying fluid. DOI: 10.1088/0022-3727/42/13/135112
-
Sfahani, M. G., Ganji, S. S., Barari, A., Mirgolbabae, H., and Domairry, G., Analytical solutions to nonlinear conservative oscillator with fifth-order non-linearity. DOI: 10.1007/s11803-010-0021-5
-
Sfahani, M. G., Barari, A., Omidvar, M., Ganji, S. S., and Domairry, G., Dynamic response of inextensible beams by improved energy balance method. DOI: 10.1177/2041306810392113
-
Shokrieh, M. M. and Rafiee, R., Prediction of mechanical properties of an embedded carbon nanotube in polymer matrix based on developing an equivalent long fiber. DOI: 10.1016/j.mechrescom.2009.12.002
-
Wan, H., Delale, F., and Shen, L., Effect of CNT length and CNT-matrix interphase in carbon nanotube (CNT) reinforced composites. DOI: 10.1016/j.mechrescom.2004.10.011
-
Wang, X. Y. andWang, X., Numerical simulation for bending modulus of carbon nanotubes and some explanations for experiment. DOI: 10.1016/S1359-8368(03)00084-2
-
Wang, X., Zhang, Y. C., Xia, X. H., and Huang, C. H., Effective bending modulus of carbon nanotubes with rippling deformation. DOI: 10.1016/j.ijsolstr.2004.04.038
-
Wang, X.,Wang, X. Y., and Xiao, J., A non-linear analysis of the bending modulus of carbon nanotubes with rippling deformations. DOI: 10.1016/j.compstruct.2004.07.009
-
Yaghmaei, K. and Rafii-Tabar, H., Observation of fluid layering and reverse motion in double-walled carbon nanotubes. DOI: 10.1016/j.cap.2009.03.015
-
Younesian, D., Askari, H., Saadatnia, Z., and KalamiYazdi, M., Frequency analysis of strongly nonlinear generalized Duffing oscillators using He's frequency–amplitude formulation and He's energy balance method. DOI: 10.1016/j.camwa.2010.03.013
-
Zhang, H. W., Zhang, Z. Q., and Wang, L., Molecular dynamics simulations of electrowetting in double-walled carbon nanotubes. DOI: 10.1016/j.cap.2008.07.010
-
Zhang, H. L., Periodic solutions for some strongly nonlinear oscillations by He's energy balance method. DOI: 10.1016/j.camwa.2009.03.068
-
Mehdipour Iman, Erfani-Moghadam Ahmad, Mehdipour Cyrus, Application of an electrostatically actuated cantilevered carbon nanotube with an attached mass as a bio-mass sensor, Current Applied Physics, 13, 7, 2013. Crossref
-
Sedighi Hamid M., Farjam Nazanin, A modified model for dynamic instability of CNT based actuators by considering rippling deformation, tip-charge concentration and Casimir attraction, Microsystem Technologies, 23, 6, 2017. Crossref
-
Ouakad Hassen M., Sedighi Hamid Mohammad, Rippling effect on the structural response of electrostatically actuated single-walled carbon nanotube based NEMS actuators, International Journal of Non-Linear Mechanics, 87, 2016. Crossref
-
Ghaffari S.S., Abdelkefi A., Thermoelastic modeling and comparative analysis of biomass sensors under rippling deformation and magnetic field, Applied Mathematical Modelling, 92, 2021. Crossref
-
Koochi Ali, Stability Analysis of CNT Based Nano-Actuator Under Magnetic Field and Rippling Deformation, Journal of Modern Nanotechnology, 1, 1, 2021. Crossref