Parametric analysis of frequency of rotating laminated CNT reinforced functionally graded cylindrical panels

In this paper, carbon nanotube (CNT) reinforced functionally graded rotating laminated cylindrical panels are considered, and a parametric analysis of frequency is presented using the element-free kp-Ritz method. The rotating cylindrical panel is composed of perfectly bonded CNT-reinforced functionally graded layers and, in each layer, the CNTs are assumed to be uniformly distributed or functionally graded in the thickness direction. The extended rule of mixture is selected to obtain the effective material properties of the resulting nanocomposite rotating laminated panels. The two-dimensional displacement fields of the panels are approximated by a set of mesh-free kernel particle functions, and the discretized governing eigen-equations are developed via the Ritz procedure with the essential boundary conditions enforced through the full transformation method. Detailed parametric studies have been carried out to reveal the influences of the volume fraction of CNTs, types of distribution of CNTs, edge-to-arc ratio, boundary conditions and rotation speed on the frequency characteristics. In addition, the effects of number of layers and lamination angle are examined in detail.