Study On Vibration Band Gap Of One-dimensional Phonon Crystal Pipeline

Pipelines play a vital role as an integral part of the ship.However,in the course of the pipeline system,it is inevitable that the vibration of the pipe itself and the pulsation of the fluid in the tube,as well as the flow-solid coupling vibration caused by the interaction between the pipe structure and the fluid in the tube,will inevitably occur.As an artificial periodic material,the sonar crystal can make the elastic wave in the specific frequency range be inhibited to different degrees when it is transmitted,according to the characteristics of the sonar crystal,combined with the actual situation of the ship’s pipeline system,it is used to solve the vibration control problem of the pipeline system.The paper takes the ship’s seawater line as the object,according to the pipeline vibration differential equation,including axial vibration,twisting vibration and bending vibration differential equation,establishes the transmission matrix between the pipe units,and solves the energy band structure diagram and displacement frequency response curve of onedimensional pipeline by using MATLAB programming.Using COMSOL software to solve the energy-band structure diagram of one-dimensional pipeline,and to verify the correctness of the analysis results of the transmission matrix method,the research and analysis of onedimensional two-component pipe vibration band gap,as well as pipe wall thickness,lattice constant and other pipeline structure parameters,Yang’s modulus,shear module,pipe density and other pipeline material parameters,fluid density and other in-pipe fluid parameters For the influence law of pipe axial vibration,twisting vibration,bending vibration band gap,on the basis of one-dimensional two-component pipeline,a hard material is introduced,a onedimensional three-component phonograph transistor path is built,the transmission matrix of one-dimensional three-cell cell pipe is calculated,the band gap plot of the infinite period line is programmed to calculate;Three vibration band gaps of three elemental lines,the three material group components of aluminum,steel and epoxy resin and three vibration band gaps of lattice constant slots are analyzed and constructed,and the experimental system of the sound-and-sound crystal beam structure is designed and constructed to effectively control the propagation of elastic waves by experimentally verifying the periodic structure of the sonar crystal.In this paper,the analysis results of pipeline vibration band gap can provide theoretical support for the design of acoustic transistor circuit and provide a new solution to the problem of shock reduction and noise reduction.