Vibrational resonance in nonlinear vibration isolation systems

In this study, we investigate vibrational resonance (VR) in a Duffing-type vibration isolation system using analytical and numerical approaches. Our results demonstrate that the response amplitude at low-frequency (LF) excitation can be enhanced by modulating system parameters, particularly dual-frequency excitation and nonlinear stiffness. The analytical and numerical results show strong agreement, validating the approaches. Additionally, we analyze the influence of system parameters on different resonance states. Notably, we demonstrate that the high-frequency (HF) input parameters, in conjunction with the nonlinear damping and stiffness coefficients, effectively suppress the system’s resonance dynamics. These findings highlight the potential of parameter modulation to suppress vibrations and tune resonance in a Vibration Isolation System (VIS), enabling applications in mechanical systems, signal processing, and energy harvesting systems.