Background::
Carbon nanotubes (CNTs) reinforced structures are the main elements of structural equipment.
Hence a wide range of investigations has been performed on the response of these structures. A lot of studies covered the
static and dynamic phenomenon of CNTs reinforced beams, plates and shells. However, there is no study on the free
vibration analysis of a doubly-curved nano-size shell made of CNTs reinforced composite materials.
Methods::
This work utilized a general third-order shear deformation theory to model the nanoshell where the general strain
gradient theory is used in order to capture both nonlocality and strain gradient size-dependency. The Navier solution solving
procedure is adopted to solve the partial differential equations (PDEs) and get the natural frequency of the system which is
obtained through the Hamilton principle.
Results::
The current study shows the importance of small-scale coefficients. The natural frequency increases with rising the
strain gradient-size dependency which is because of stiffness enhancement, while the natural frequency decreases by
increasing the nonlocality. In addition, the numerical examples covered the CNTs distribution patterns.
Conclusion::
This work also studied the importance of shell panel’s shape. It has been observed that spherical shell panel
has a higher frequency compared to the hyperbolic one. Furthermore, the frequency of the system increases with growing
length-to-thickness ration.