A simple active adaptive control method for mitigating and isolating mechanical vibrations of the pyramid-core lattice sandwich structures.

• A control method based on the non-simplified equations of motion of the lattice sandwich structures with considering the effects of the sensors and actuators is established. • The effects of active feedback control on the band-gaps of the pyramidal core lattice sandwich structures based on the non-simplified equations of motion are investigated. • The results show that the proposed simple control strategy is sufficiently accurate, highly efficient and can significantly expand the band-gaps. In this paper, we propose a simple active adaptive feedback (AAF) control strategy to enhance the vibration mitigation and isolation properties of the conventional pyramid-core lattice sandwich structures (PSSs) and the modified chessboard-designed pyramid-core lattice sandwich structures (CPSSs) via the lead zirconate titanate (PZT) ceramic patches. The proposed simple AAF control strategy is based on the active feedback (AF) control by relating the AF control parameters to the frequency. Firstly, the effects of the AF control parameters on the band structures are analyzed. Subsequently, the mathematical expressions of the frequency-dependent AAF control parameters are derived by the curve fitting technique. The results show that the proposed simple AAF control strategy is sufficiently accurate, highly efficient and can significantly expand the band-gaps compared to the conventional AF control, hence leading to improved vibration mitigation and isolation properties of the PSSs and CPSSs. The proposed simple AAF control strategy provides a simplified and generalized method to enhance the vibration mitigation and isolation properties of the lightweight lattice sandwich structures (LSSs) while maintaining their high stiffness-to-density ratio, which may offer various potential applications in engineering sciences. [ABSTRACT FROM AUTHOR]