Calculation And Optimization Analysis Of Vibration Power Flow In Current-carrying Pipeline Based On Transfer Matrix Method

Piping systems are widely used in many fields such as aerospace,marine and marine engineering,automobiles,petrochemicals,etc.As the power of various fluid machinery equipment continues to increase,the fluid-structure coupling vibration problem of the piping system becomes more and more prominent.Regardless of the impact of pipeline vibration and noise on the surrounding working environment,the vibration damage of the pipeline system will cause a huge amount of economic loss every year.Therefore,the research on piping system vibration and noise reduction has very great theoretical and engineering practical value.Aiming at the vibration problem of the pipeline system,this paper establishes the transfer matrix model of fluid-structure coupling vibration of the liquid-filled pipeline system,uses MATLAB programming to calculate the vibration characteristics and response of the pipeline,and analyzes the distribution of the pipeline vibration input power flow along the pipeline.The comparison illustrates the advantages and disadvantages of the vibration power flow and vibration response in the optimization of pipeline structure.The main research content and work are as follows:(1)Considering the Poisson coupling of the piping system,a dimensionless transfer matrix model of the fluid-structure coupling vibration of the straight pipe and the elbow of the piping system is established.The force analysis of the concentrated mass,elastic support and external load is carried out,and the corresponding point transfer matrix is derived.And the coordinate transformation matrix of the space pipeline system is established to unify the coordinate system of each pipe unit.(2)Introduced the transfer matrix method to solve the modal vibration shape and harmonic response of the pipeline system.The method in this paper was used to calculate the modal vibration shape and vibration response of typical straight pipes and elbow pipes under different boundary conditions.The comparison with the finite element simulation results verifies the accuracy of the method and programming in this article..(3)Introduced the vibration power flow as the vibration evaluation index of the pipeline system.Introduced the calculation method of the pipeline system vibration power flow,and explained the necessity of damping in the calculation of the vibration power flow in principle.The calculation and analysis of the distribution of the vibration power flow along the pipeline and the transmission law of the pipeline system have explained the connection and difference between the vibration power flow and the vibration response.And analyzed the influence of pipeline structure parameters on vibration power flow.(4)Taking the stiffness and position of the elastic support,the radius of the pipe,the wall thickness and the pipe diameter as the design variables,the frequency away from the excitation force is the constraint,and the objective function is to minimize the vibration input power flow and minimize the vibration response of the load application point.The genetic algorithm is used to optimize the vibration of the pipeline system,and the rationality and advantages of the vibration power flow in the vibration optimization are compared and analyzed.