TY - JOUR TI - Vibration analysis of multi-walled carbon nanotubes embedded in elastic medium EP - 159 N2 - We propose a method to estimate the natural frequencies of the multi-walled carbon nanotubes (MWCNTs) embedded in an elastic medium. Each of the nested tubes is treated as an individual bar interacting with the adjacent nanotubes through the inter-tube Van der Waals forces. The effect of the elastic medium is introduced through an elastic model. The mathematical model is finally reduced to an eigen value problem and the eigen value problem is solved to arrive at the inter-tube resonances of the MWCNTs. Variation of the natural frequencies with different parameters are studied. The estimated results from the present method are compared with the literature and results are observed to be in close agreement. A1 - Budarapu, Pattabhi R. A1 - Yb, SudhirSastry A1 - Javvaji, Brahmanandam A1 - Mahapatra, D. Roy SN - 2095-2449 VL - 8 PB - Higher Education Press UR - http://dx.doi.org/10.1007/s11709-014-0247-9 IS - 2 KW - natural frequencies; multi-walled carbon nanotubes (MWCNTS); elastic medium SP - 151 ID - eprints2647 AV - none JF - Frontiers of Structural and Civil Engineering Y1 - 2014/06// ER -