Small-scale effect on vibration analysis of single-walled carbon nanotubes embedded in an elastic medium using nonlocal elasticity theory

作者: S. C. Pradhan , T. Murmu

DOI: 10.1063/1.3151703

关键词:

摘要: Nonlocal elasticity theory is a growing technique for the mechanical analyses of microelectromechanical (MEMS) and nanoelectromechanical (NEMS) based structures. The nonlocal parameter accounts small size effects when dealing with nanosize structures such as single-walled carbon nanotubes (SWCNTs). In this article, Timoshenko beam are implemented to study vibration response SWCNT embedded in an elastic medium. Influence surrounding medium on fundamental frequencies investigated. Both Winkler-type Pasternak-type foundation models employed simulate interaction A differential quadrature approach being utilized numerical solutions natural obtained. Influences effects, Winkler modulus parameter, Pasternak shear aspect ratio frequency analyzed discussed. present illustr...

参考文章(42)
Pin Lu, H. P. Lee, C. Lu, P. Q. Zhang, Dynamic properties of flexural beams using a nonlocal elasticity model Journal of Applied Physics. ,vol. 99, pp. 073510- ,(2006) , 10.1063/1.2189213
John Peddieson, George R. Buchanan, Richard P. McNitt, Application of nonlocal continuum models to nanotechnology International Journal of Engineering Science. ,vol. 41, pp. 305- 312 ,(2003) , 10.1016/S0020-7225(02)00210-0
J. Yoon, C.Q. Ru, A. Mioduchowski, Flow-induced flutter instability of cantilever carbon nanotubes International Journal of Solids and Structures. ,vol. 43, pp. 3337- 3349 ,(2006) , 10.1016/J.IJSOLSTR.2005.04.039
Richard Bellman, B.G Kashef, J Casti, DIFFERENTIAL QUADRATURE: A TECHNIQUE FOR THE RAPID SOLUTION OF NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS Journal of Computational Physics. ,vol. 10, pp. 40- 52 ,(1972) , 10.1016/0021-9991(72)90089-7
H. D. Wagner, O. Lourie, Y. Feldman, R. Tenne, Stress-induced fragmentation of multiwall carbon nanotubes in a polymer matrix Applied Physics Letters. ,vol. 72, pp. 188- 190 ,(1998) , 10.1063/1.120680
Hongjie Dai, Jason H. Hafner, Andrew G. Rinzler, Daniel T. Colbert, Richard E. Smalley, Nanotubes as nanoprobes in scanning probe microscopy Nature. ,vol. 384, pp. 147- 150 ,(1996) , 10.1038/384147A0
A.R. Ranjbartoreh, A. Ghorbanpour, B. Soltani, Double-walled carbon nanotube with surrounding elastic medium under axial pressure Physica E-low-dimensional Systems & Nanostructures. ,vol. 39, pp. 230- 239 ,(2007) , 10.1016/J.PHYSE.2007.04.010
Kim Meow Liew, XQ He, Sritawat Kitipornchai, None, PREDICTING NANOVIBRATION OF MULTI-LAYERED GRAPHENE SHEETS EMBEDDED IN AN ELASTIC MATRIX Acta Materialia. ,vol. 54, pp. 4229- 4236 ,(2006) , 10.1016/J.ACTAMAT.2006.05.016