Vibration wave propagation analysis of a liquid-filled pipe–plate coupled system with multiple supports

This paper analyzes the influence of an elastic plate on the vibration wave propagation of a pipe system. An impedance synthesis method is applied to establish the governing equation of the pipe–plate coupled system by using the force and boundary continuum. The natural frequency and dynamic response are determined by this method. The validity of the theoretical derivation is verified through comparisons with finite element model results. A periodically supported pipe–plate model is set up to analyze the effect of the elastic plate on the vibration bandgap. Finally, through the analysis of the vibration power flow of the coupled system, the vibration propagation characteristics of the pipe–plate configuration are analyzed from the perspective of energy flow. The results presented in this paper provide valuable suggestions for vibration control in pipe systems.