Chapter 1: Nanostructural dynamics problems with complicating effects
Subrat Kumar Jena; Snehashish Chakraverty Department of Mathematics, National Institute of Technology Rourkela, Rourkela, Odisha, India
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 ...
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