Vibration analysis of multi-walled carbon nanotubes embedded in elastic medium

作     者：Pattabhi R. BUDARAPU Sudhir Sastry YB Brahmanandam JAVVAJI D. Roy MAHAPATRA 

作者机构：Institute of Structural Mechanics Bauhaus University of Weimar Weimar 99423 Germany Deptarment of Aeronautical Engineering Institute of Aeronautical Engineering Hyderabad 500043 India Department of Aerospace Engineering Indian Institute of Science Bangalore 560012 India 

出 版 物：《Frontiers of Structural and Civil Engineering》 (结构与土木工程前沿（英文版）)

年 卷 期：2014年第8卷第2期

页      面：151-159页

核心收录：

学科分类：1305[艺术学-设计学（可授艺术学、工学学位）] 07[理学] 070205[理学-凝聚态物理] 08[工学] 080501[工学-材料物理与化学] 0805[工学-材料科学与工程（可授工学、理学学位）] 0813[工学-建筑学] 070102[理学-计算数学] 0814[工学-土木工程] 0701[理学-数学] 0702[理学-物理学] 

基　　金：support through the project “MultiFrac” under the International Research Staff Exchange Scheme (IRSES) 

主　　题：natural frequencies multi-walled carbon nanotubes (MWCNTS) elastic medium 

摘      要：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.