Nonlinear vibration behavior of a rotating nanobeam under thermal stress using Eringen’s nonlocal elasticity and DQM

作者: Navvab Shafiei , Mohammad Kazemi , Majid Ghadiri

DOI: 10.1007/S00339-016-0245-Y

关键词:

摘要: This study is concerned with the small-scale effect on nonlinear flapwise bending vibration of rotating cantilever and propped nanobeams. Euler–Bernoulli beam theory used to model nanobeam nonlinearity. Nonlinear strain–displacement relations are employed account for geometric nonlinearity system. The axial forces modeled as true spatial thermal variations due rotation. Hamilton’s principle derive governing equation nonlocal boundary conditions based Eringen’s elasticity theory. Finally, differential quadrature method in conjunction direct iterative frequencies nanobeam. effects angular velocity, parameter, temperature change amplitude rotary discussed. results this work can be nanosensors, nanomotors, nanoturbines NEMS applications.

参考文章(69)
Ya-Xin Zhen, Bo Fang, Nonlinear vibration of fluid-conveying single-walled carbon nanotubes under harmonic excitation International Journal of Non-linear Mechanics. ,vol. 76, pp. 48- 55 ,(2015) , 10.1016/J.IJNONLINMEC.2015.05.005
Yi-Ze Wang, Feng-Ming Li, Nonlinear postbuckling of double-walled carbon nanotubes induced by temperature changes Applied Physics A. ,vol. 121, pp. 731- 738 ,(2015) , 10.1007/S00339-015-9471-Y
M. Sadeghi-Goughari, S.A. Atashipour, M. Hosseini, M. Eftekhari, Vibration analysis of single-walled carbon nanotubes conveying nanoflow embedded in a viscoelastic medium using modified nonlocal beam model Archives of Mechanics. ,vol. 66, pp. 217- 244 ,(2014) , 10.24423/AOM.1108
Xiaobin Xu, Kwanoh Kim, Chao Liu, Donglei Fan, Fabrication and Robotization of Ultrasensitive Plasmonic Nanosensors for Molecule Detection with Raman Scattering Sensors. ,vol. 15, pp. 10422- 10451 ,(2015) , 10.3390/S150510422
Danilo Karličić, Predrag Kozić, Ratko Pavlović, Nonlocal vibration and stability of a multiple-nanobeam system coupled by the Winkler elastic medium Applied Mathematical Modelling. ,vol. 40, pp. 1599- 1614 ,(2016) , 10.1016/J.APM.2015.06.036
Sami El-Borgi, Ralston Fernandes, J.N. Reddy, Non-local free and forced vibrations of graded nanobeams resting on a non-linear elastic foundation International Journal of Non-Linear Mechanics. ,vol. 77, pp. 348- 363 ,(2015) , 10.1016/J.IJNONLINMEC.2015.09.013
C.W. Lim, C. Li, J.L. Yu, The effects of stiffness strengthening nonlocal stress and axial tension on free vibration of cantilever nanobeams Interaction and multiscale mechanics. ,vol. 2, pp. 223- 233 ,(2009) , 10.12989/IMM.2009.2.3.223