Nonlinear vibration modeling and control of MRE grid composite sandwich plates

Abstract

This paper presents a nonlinear vibration response analysis model for magnetorheological elastomer grid composite sandwich plates (MREGCSP), taking into account the nonlinear effects of magnetic field strength variations on the composite structure. The model is established base on the Jones-Nelson nonlinear theory, iterative computational methods, and the Wilson-θ method. Additionally, a nonlinear multi-region vibration active control strategy is proposed to actively control the nonlinear vibrations in MRE grid composite sandwich plates. To validate the correctness of the suggested nonlinear vibration response model and the effectiveness of the proposed control strategy, a testbed for active control of nonlinear vibrations in MREGCSP is constructed. The proposed model convincingly demonstrates its effectiveness and superiority by conducting a comprehensive comparison of diverse natural frequencies, loss factors, and vibration responses related to magnetic fields and vibration amplitudes. The research presented in this paper establishes a robust foundation for elucidating the nonlinear dynamic mechanism of the investigated intelligent structure subjected to complex excitation loads. Furthermore, practical recommendations can be derived to enhance the active vibration control capability of the composite structure.