<p>A parametric analysis of the nanocomposite-reinforced sandwich beam with initial curvature is presented. The kinematic, constitutive and governing relations are extended based on the higher-order stretching included, generalized Hooke’s law and virtual work principle, respectively. The sandwich nanocomposite is assumed composed of the graphene origami-reinforced nanocomposite core between two piezoelectric/piezomagnetic layers actuated by initial electric/magnetic potentials. The effective form of the material characteristics is developed using the Halpin–Tsai micromechanical model and rule of mixture for stiffness, and density/Poisson’s ratio/heat expansion coefficient, respectively. The multi-filed hybrid formulation is presented in terms of multi-field components. The parametric solution is presented in order to seek the impact of material constituent and multi-field loading characteristics. The results of the present work can be used for controllable and tuneable design of nanocomposite-reinforced structures. The novelties of this work is investigating the impact of graphene origami characteristics and initial electric/magnetic potentials on the vibrational responses of the sandwich curved beam. Because of the temperature/foldability/content-dependent material properties of the graphene origami included sandwich structure, the vibrational responses reflect the un-predictable responses.</p>