On the wave propagation in a multi-hybrid nanocomposite doubly curved panel

Abstract

In the current report, characteristics of the propagated waves in a multi-hybrid nanocomposite (MHC) reinforced doubly curved panel is investigated. First-order shear deformable theory (FSDT) is applied to formulate the stress-strain relations. The rule of mixture and modified Halpin–Tsai model are engaged to provide the effective material constant of the composite panel. By employing Hamilton’s principle, the governing equations of the structure are derived and solved with the aid of an analytical method. Afterward, a parametric study is carried out to investigate the effects of the (carbon nanotubes’) CNTs' weight fraction, various MHC patterns, small radius to total thickness ratio, and carbon fibers angel on the phase velocity of the MHC reinforced panel. The results show that the sensitivity of the phase velocity of the MHC panel to the $W_{\mathit{CNT}}$ and different face sheet patterns can decrease when we consider the core of the panel much thicker. Another consequence is that the highest and lowest phase velocity in all range of wave numbers could be seen for the MHC reinforced doubly carved panel with pattern 3 and 1, respectively. It is also observed that as the weight fraction of the CNTs rises, the sensitivity of the phase velocity to wavenumber and fibers angle will decrease. The useful suggestion of this study is that for designing a structure, we should have an attention to the pattern and higher value of the wavenumber, simultaneously. The presented study outputs can be used in ultrasonic inspection techniques and structural health monitoring.

Keywords:

• MHC reinforcement
• doubly curved panel
• wave propagation
• phase velocity
• FSDT