Speaker
Description
This study presents a novel mass-in-mass metamaterial configuration in which the conventional internal resonator is replaced by a beam. To induce an impacting response, rigid stoppers are introduced on either side of the beam, firmly connected to the primary mass. A time-domain solver is developed based on the linear complementarity problem (LCP) formulation and Euler’s discretization to compute the dynamic response of the impacting metamaterial. The proposed methodology is initially validated by examining the chattering response of a cantilever beam subjected to harmonic excitation, both experimentally and theoretically. Additionally, an experimental investigation is conducted on a beam embedded within a mass-impacting unit cell to further validate the LCP solver. The vibration transmission characteristics and effective mass of the proposed unit cell are systematically analyzed, demonstrating the emergence of vibration attenuation band gaps and negative effective mass. These findings underscore the potential of the proposed metamaterial unit cell as a fundamental building block for advanced vibration control systems.
