Dynamic characterizations of O- and X-carbon nanotube-reinforced rings

Ring structures have been widely used in engineering devices and systems. When oscillations occur, the oscillation effects can be reduced by applying designable carbon nanotube (CNT)-reinforced materials to the ring. The dynamic characterizations and microscopic behaviors of CNT-reinforced rings of three distribution types of CNT, namely, X-distribution (X) type, uniform distribution (UD) type and O-distribution (O) type, are given. The influence of doped CNTs on the mechanical properties of the matrix ring is analyzed by comparing different CNT distributions on the membrane stiffness, bending stiffness and frequency. The microscopic membrane force-induced component and bending moment-induced component are studied to reflect the transverse and circumferential actions. The effects of different CNTs distributions on the transverse and circumferential action are evaluated. Analytical results demonstrate that the CNTs can improve the mechanical properties of the ring. The X type greatly affects the bending behavior, while the O type mainly affects the membrane behavior. Thus, for transverse oscillations dominated by the bending moment-induced component, the X type CNTs can greatly reduce the transverse oscillations influences.