Abstract
In this chapter, vibration characteristics of single-walled carbon nanotubes (SWCNTs) have been investigated by exposing to the hygroscopic environment. The Euler-Bernoulli beam theory and the differential form of strain gradient theory (SGT) have been incorporated to derive the proposed model by using Hamilton’s principle. Frequency parameters for the hinged-hinged (HH) boundary condition have been calculated analytically by using Navier’s approach. Further, the effects of the length scale parameter and hygroscopic environment on the frequency parameters have been analyzed through graphical and tabular results.