Theory of Vibrations in Suspended Nanotubes

Vibrations of nanotubes clamped at both ends and suspended over a gate have been studied recently\footnote{V. Sazonova, Y. Yaish, H. \"Ust\"unel, D. Roundy, T. A. Arias and P. L. McEuen, Nature {\bf 431}, 284 (2004)}. In this talk, we study theoretically the effects of various parameters such as slack and downward force on the vibrations of such a suspended nanotube. We model the nanotube as a one-dimensional continuum and present results exploring a wide range of system parameters.