The effect of non-local higher order stress to predict the nonlinear vibration behavior of carbon nanotube conveying viscous nanoflow

作者: M. Mohammadimehr , A.A. Mohammadi-Dehabadi , Z. Khoddami Maraghi

DOI: 10.1016/J.PHYSB.2017.01.014

关键词: Natural frequencyStiffnessFluid dynamicsStress (mechanics)Microscale chemistryVibrationMechanicsInstabilityClassical mechanicsPhysicsSurface stress

摘要: Abstract In this research, the effect of non-local higher order stress on nonlinear vibration behavior carbon nanotube conveying viscous nanoflow resting elastic foundation is investigated. Physical intuition reveals that increasing nanoscale leads to decrease stiffness nanostructure which firstly established by Eringen's elasticity theory (previous nonlocal method) while many papers have concluded otherwise at microscale based modified couple stress, strain gradient theories and surface effect. The model (new used in article has been studied few researchers other fields results from present study show trend new method size dependent including same. regard, motion equations are derived using a variational principal approach considering essential higher-order terms. surrounded medium modeled Pasternak increase stability system where fluid flow may cause instability. Effects various parameters such as parameter, coefficient, velocity dimensionless natural frequency research small scale parameter help approved theory, experiments, vice versa for previous method. This be useful measure accurately characteristics nanotubes design nanofluidic devices detecting blood Glucose.

参考文章(72)
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
Iain G. Currie, Fundamental mechanics of fluids ,(1974)
Irving Herman Shames, Mechanics of fluids McGraw-Hill. ,(1962)
Ali Beskok, George Em Karniadakis, REPORT: A MODEL FOR FLOWS IN CHANNELS, PIPES, AND DUCTS AT MICRO AND NANO SCALES Microscale Thermophysical Engineering. ,vol. 3, pp. 43- 77 ,(1999) , 10.1080/108939599199864
A. Cemal Eringen, On differential equations of nonlocal elasticity and solutions of screw dislocation and surface waves Journal of Applied Physics. ,vol. 54, pp. 4703- 4710 ,(1983) , 10.1063/1.332803
Hossein Mohammadi, Mojtaba Mahzoon, Thermal effects on postbuckling of nonlinear microbeams based on the modified strain gradient theory Composite Structures. ,vol. 106, pp. 764- 776 ,(2013) , 10.1016/J.COMPSTRUCT.2013.06.030
A. Ghorbanpour Arani, R. Kolahchi, Z. Khoddami Maraghi, Nonlinear vibration and instability of embedded double-walled boron nitride nanotubes based on nonlocal cylindrical shell theory Applied Mathematical Modelling. ,vol. 37, pp. 7685- 7707 ,(2013) , 10.1016/J.APM.2013.03.020
L. Wang, Vibration analysis of fluid-conveying nanotubes with consideration of surface effects Physica E-low-dimensional Systems & Nanostructures. ,vol. 43, pp. 437- 439 ,(2010) , 10.1016/J.PHYSE.2010.08.026
L. Wang, Q. Ni, M. Li, Q. Qian, The thermal effect on vibration and instability of carbon nanotubes conveying fluid Physica E-low-dimensional Systems & Nanostructures. ,vol. 40, pp. 3179- 3182 ,(2008) , 10.1016/J.PHYSE.2008.05.009
XQ He, CM Wang, Y Yan, LX Zhang, GH Nie, None, Pressure dependence of the instability of multiwalled carbon nanotubes conveying fluids Archive of Applied Mechanics. ,vol. 78, pp. 637- 648 ,(2008) , 10.1007/S00419-007-0184-3