A new method of theoretical modelling of polyhedral single-walled nanotubes based on the consolidation of walls in the rolled-up multi-walled nanotubes is proposed. Molecular mechanics and ab initio quantum mechanics methods are applied to investigate the merging of walls in nanotubes constructed from the different phases of titania. The combination of two methods allows us to simulate the stru...

Given an embedded cylinder in an arbitrary surface, we give a gauge theoretic definition of the associated Goldman flow, which is a circle action on a dense open subset of the moduli space of equivalence classes of flat SU(2)-connections over the surface. A cylinder in a compact nonorientable surface lifts to two cylinders in the orientable double cover, and the composite flow is the compositio...

Abstract. This paper presents an approximate method to predict the natural frequencies of thin-walled cylinders. By taking inspiration from a previous work one authors, starting point proposed approach is proper construction reasonable eigenfunctions. However, new simple tool based on principle virtual has been developed estimate and amplitude vibration without complex numerical resolution. Mor...

in this paper, stress and displacement fields of functionally graded (fg) nanocomposite cylinders reinforced by carbon nanotubes (cnts) subjected to internal pressure and in thermal environment are investigated by finite element method. the nanocomposite cylinders are combinations of single-walled carbon nanotubes (swcnts) and isotropic matrix. material properties are estimated by a micro mecha...