Local Resonance Bandgap Isolation Performance of an Inertially Amplified Sandwich Cylindrical Curved Panel

Traditional thin-walled cylindrical shells tend to induce significant vibrations and noise under dynamic loads, making vibration suppression crucial. This paper proposes a sandwich-structured cylindrical curved panel with inertial amplification (IA) metamaterial characteristics. Its core layer employs a lever-type IA mechanism, sandwiched between two curved face panels. The two face panels and the lever-type IA resonators of the core layer are connected via support rods, with hinge connections serving as the fulcrums of the lever structures. Implementation of the thin shell theory within Hamilton’s principle framework enables the derivation of the sandwich panel’s dynamic governing equations. Subsequently, by means of the plane wave expansion (PWE) method, its bandgap structures and dispersion relations are numerically calculated. Finite element numerical simulations are employed to validate the theoretical results, and a comprehensive investigation of the bandgap characteristics and vibration behaviors is conducted. An in-depth study is further carried out on the effects of various structural parameters, boundary conditions, and other factors on the bandgap structures. Results demonstrate that resonator-induced motion amplification augments the apparent mass of the system. This amplification facilitates the reduction of bandgaps without the need for additional lumped masses or heavy local resonators. Thus, the proposed structure can be utilized in the future to achieve excellent vibration isolation performance for thin cylindrical shell structures.