Vibrational analysis of fluid-filled carbon nanotubes using the wave propagation approach

This paper presents a method for vibrational analysis of fluid-filled double-walled carbon nanotubes using the wave propagation approach. Simplified Flügge shell equations are proposed as the governing equations of vibration for the carbon nanotubes. The double-walled nanotubes are considered as a two-shell model coupled together through the van der Waals interaction between two adjacent nanotubes. Based on the proposed theoretical approach, we investigate the influences of parameters, such as fluid properties and vibrational modes, on the vibrational characteristics of carbon nanotubes. In this study, we consider the double-walled nanotubes with an inner diameter of 2.2 nm and an outer diameter of 3.0 nm. The theoretical investigation may give a useful reference for potential application and design of nanoelectronics and nanodevices. PACS 62.30.+d; 62.25.+g; 62.40.+I