eprintid: 2647 rev_number: 8 eprint_status: archive userid: 71 dir: disk0/00/00/26/47 datestamp: 2015-03-27 10:38:14 lastmod: 2016-04-06 08:49:47 status_changed: 2015-03-27 10:38:14 type: article metadata_visibility: show creators_name: Budarapu, Pattabhi R. creators_name: Yb, SudhirSastry creators_name: Javvaji, Brahmanandam creators_name: Mahapatra, D. Roy creators_id: pattabhi.budarapu@imtlucca.it creators_id: creators_id: creators_id: title: Vibration analysis of multi-walled carbon nanotubes embedded in elastic medium ispublished: pub subjects: TA divisions: CSA full_text_status: none keywords: natural frequencies; multi-walled carbon nanotubes (MWCNTS); elastic medium abstract: 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. date: 2014-06 publication: Frontiers of Structural and Civil Engineering volume: 8 number: 2 publisher: Higher Education Press pagerange: 151-159 id_number: 10.1007/s11709-014-0247-9 refereed: TRUE issn: 2095-2449 official_url: http://dx.doi.org/10.1007/s11709-014-0247-9 citation: Budarapu, Pattabhi R. and Yb, SudhirSastry and Javvaji, Brahmanandam and Mahapatra, D. Roy Vibration analysis of multi-walled carbon nanotubes embedded in elastic medium. Frontiers of Structural and Civil Engineering, 8 (2). pp. 151-159. ISSN 2095-2449 (2014)