Vibration Reduction Performance of a Periodic Mass‐Spring Structure Carrying Multitype of Locally Resonant Oscillators: Numerical Analysis and Experimental Verification

A novel periodic mass‐spring system integrated with multiple localized resonance (LR) oscillators has been designed to simultaneously generate multiple LR bandgaps in the low‐frequency spectrum and an extended Bragg bandgap at higher frequencies. The dynamic behavior of these periodic configurations, both with and without LR oscillators, is analytically modeled. Utilizing the transfer matrix approach, the transfer matrix for the periodic unit is derived, enabling the computation of wave propagation constants and velocity frequency responses for both semi‐infinite and finite periodic systems. The influence of the array’s physical and geometric parameters on bandgap characteristics and attenuation efficiency is explored through numerical analysis. Moreover, a periodic vibration isolation mechanism incorporating three LR oscillators is implemented to improve damping capabilities across a broad frequency range, encompassing both low and high frequencies. Simulation findings reveal that the integration of multiple LR oscillators within the periodic mass‐spring framework facilitates the coexistence of several LR bandgaps and a Bragg bandgap, leading to substantial vibration attenuation within the designated bandgap frequencies. This advanced periodic vibration isolation system outperforms traditional isolators in damping efficacy within the bandgap, offering a versatile solution for vibration control in diverse structural applications.