Carbon nanotubes (CNTs) have attracted from scientists and engineers because of their wide range of applications and the superior mechanical properties. Fluid-filled Carbon nanotubes may be used as gas storage tanks or as nanopipes for conveying medicines to a person’s blood stream. Hence, the transport properties of CNTs could be sensitive to their vibrational behavior. Hence, it is essential to consider the mechanical properties of fluid-filled CNTs. In this Paper, the free vibration of an embedded fluid-filled single walled carbon nanotube with simply supported ends is investigated based on the simplified Donnell shell model. When the nanotube is fluid-filled, the fluid is assumed to be an ideal non compression, non rotation and in viscid type and the fluid-structure interaction is described by linear potential flow theory. Furthermore, in this study, the stability of simply supported SWCNT subjected to the axial load is analyzed. The amplitude and frequency of the free vibration are obtained and the ef-fects of internal fluid on the coupling vibration of the model with the different aspect ratios and wave numbers are discussed in detail. Since, the Winkler-type and the Pasternak-type foundation models have been widely used to analyze the effects of the medium stiffness on the vibrational behaviour of CNTs, the surrounding medium with different Winkler and Pasternak constants are considered.

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