Analysis of vibration characteristics of pipeline system with passive vibration absorber

The purpose of this paper is to investigate the influence of passive vibration absorber in pipeline system. Passive vibration absorber is installed on the piping system. It analyzes the natural vibration characteristics and forced vibration characteristics of the piping system. The theoretical innovation of this paper combines the transfer matrix method with the Lagrangian equation in order to analyze the vibration characteristic of piping system with passive vibration absorber. Based on the vibration mechanics, the vibration differential equation of a single pipe is established. Using the continuum transfer matrix method, the transfer matrix of space piping system sets up. Considering the kinetic energy and potential energy of the pipeline system, the Lagrange equation of the second kind was used to establish the vibration differential equations of the pipeline system with the passive vibration absorber. Then , the mode superposition method was used to solve the forced vibration response. This paper analyzed a L-shaped beam with passive vibration absorber. The correctness of the method was proved by comparing the theoretical calculation results with the finite element results. The continuum transfer matrix method with Lagrange equation of the second kind has high accuracy in calculating the vibration characteristics of piping system.