ABSTRACT
This chapter presents an investigation on the vibration and dynamic features of auxetic structures. A variety of auxetic structures, including non-circular nanorods, plates, shells, and sandwich doubly curved panels, are assessed in this study. The primary objective of this chapter was to examine the impact of auxeticity and other factors on the nonlinear vibration characteristic responses of metamaterial constructions. The investigation of vibration and dynamic features of composite structures with origami auxetic cores allowed by graphene is also explored. The nonlinear equations regulating the sandwich structure and the corresponding boundary conditions are obtained by the application of the Hamiltonian principle. The findings of this chapter have great significance in the realm of sensitive structure design and have the potential for application across diverse materials and varying cross-sectional configurations.
