A resonance transmission suppression method for a plate-shell coupling system based on a time-varying vibration isolation model

The static vibration isolation systems have limitations in suppressing resonance. Thus, this study introduces a time-varying stiffness mechanism into the isolation system by utilizing the energy dissipation characteristics of time-varying systems. A vibration transmission model for a plate-shell coupling system is established based on the dynamic model of the time-varying isolation platform (TVIP). The model is solved by employing the time-domain discrete coupling method, whose accuracy is validated through comparison with the finite element method. Through vibration response experiments, the vibration suppression performance of the TVIP at resonance frequency and under white noise excitation is verified. The peak displacement response of the shell decreases by 18.4 dB under single-frequency resonance excitation. The peak force transmission response of the shell is reduced by 4.85 dB under broadband excitation. The influence of time-varying parameters and stiffness parameters on the resonance suppression effect in the plate-shell coupled model is analyzed. Results indicate that the attenuation of resonance peaks is determined by the time-varying range of resonance frequencies. The stiffness parameter influences the suppression performance by adjusting the relative displacement range between the response peak and resonance peak. This study provides a novel theoretical model and basis for time-varying vibration isolation control in plate-shell coupled systems.