“…Pavlou and Dimitrios G. 1 used 14 differential equations to describe the longitudinal-bending-torsion dynamic behavior of liquid-filled pipes, which can be used in the frequency domain or time domain (characteristic method (MOC)) [ 7 ]. The four-equation model couples the pipe transient flow with the axial motion of the pipe wall, ignoring the radial inertia, bending, and torsion of the pipe system [ 8 – 10 ], so this paper chooses 14 equations [ 6 , 11 – 14 ] to establish a single-root bionic piping; for the solution method of fluid-structure coupling effect, it is necessary to consider factors such as noise and branching [ 15 – 17 ], solve the pipeline equation in the frequency domain, analyze the flow resistance characteristics of the pipeline, and then, study the hydraulic pressure on this basis. For piping system, based on bending moment balance, force balance, and fluid continuity conditions at the branch pipe nodes, a general formula for branch pipe dynamic transfer matrix is established, and the frequency domain transfer matrix method for the dynamic response of liquid-filled manifolds is calculated.…”