Wave dispersion characteristics in lipid tubules considering shell model
based on nonlocal strain gradient theory
Abstract
In this paper, wave dispersion analysis of lipid tubules is presented by
using the first-order shear deformation (FSD) shell theory. The
small-scale effect is revealed explicitly based on the nonlocal strain
gradient theory (NSGT). Different types of lipid tubules with
size-dependent material properties are taken into account. Hamilton’s
principle is utilized to derive the equations of wave motion. The
analytical solutions of phase velocity and wave frequency of propagated
waves are obtained. In addition, detailed investigations are implemented
to highlight the effects of the types of lipid tubules, the longitudinal
and circumferential wave numbers, the material length scale parameters
and the nonlocal parameters on the wave dispersion characteristics of
lipid tubules.