Recently, the mechanical behavior of micro-/nano-structures has sparked an ongoing
debate, which leads to a fundamental question: what steps can be taken to investigate the …

The axisymmetric propagation of longitudinal waves in an integrally stiffened physically and
geometrically nonlinear cylindrical shell is studied. The case is considered when the …

The nonlinear resonance interaction and energy exchange between bending and
circumferential flexure modes in single-walled carbon nanotubes is studied. First, the results …

The present study aims to investigate the effect of geometric imperfections in circular
cylindrical shells on the vibration characteristics. Perfect circular shells are characterized by …

In this paper, the linear vibrations of triple-walled carbon nanotubes (TWNTs) are
investigated. A multiple elastic thin shell model is applied. The TWNT dynamics is studied in …

In this paper, the nonlinear vibrations and energy exchange of single-walled carbon
nanotubes (SWNTs) are studied. The Sanders–Koiter theory is applied to model the …

This paper presents an investigation on the dynamical properties of single‐walled carbon
nanotubes (SWCNTs), and nonlinear modal interaction and energy exchange are analysed …

We demonstrate the new specific phenomenon of the long-time resonant energy exchange
in the carbon nanotubes (CNTs) in the two optical branches-the Circumferential Flexure …

The general scaling underlying the asymptotic derivation of 2D theory for thin shells from the
original equations of motion in 3D elasticity fails for cylindrical shells due to the cancellation …

For a sufficiently long time, the main analytical tools for the study of both stationary and non-
stationary nonlinear processes in the finite-dimensional systems, as well as the study of their …