STABILITY ANALYSIS OF INITIALLY IMPERFECT NANOSHELLS CONVEYING FLUID BASED ON NONLOCAL STRAIN GRADIENT THEORY

This study is aimed at exploring the stability of curved nanotube shells conveying fluid. The nanotube with initial imperfection is modeled as curved nanoshell incorporating the nonlocal strain gradient theory. Two different curvilinear coordinate systems are established to determine the fluid-structure interaction between the nanotube and internal fluid. The equations of motion are discretized by Bubnov-Galerkin procedure. It is demonstrated that the value of critical circumferential wavenumber significantly depends on the ratios of radius of curvature to cross-sectional radius, thickness to radius, length to radius and size-dependent parameter. The critical circumferential mode number is a key factor for the stability assessment of curved nanoshells conveying fluid. It is revealed that the divergence velocity does not generally occur at the lowest circumferential mode number.

Automated summary

This study explored the stability of curved nanotube shells conveying fluid using a curved coordinate system. The critical circumferential wavenumber was found to be dependent on several factors, such as the radius of curvature, cross-sectional radius, thickness, and size-dependent parameter. The critical circumferential mode number was identified as a key factor in assessing the stability of curved nanoshells conveying fluid, and it was revealed that the divergence velocity does not generally occur at the lowest circumferential mode number.