Character of Vibration Propagation for Gas Pipeline Walls from Excitation Source

Abstract

The acoustic impedances of the infinite cylindrical shell of the tube are calculated with allowance for the existing resonance conditions along the longitudinal and shear waves in the shell for different azimuthal numbers and angles between the direction of propagation of the normal wave and the normal to the shell surface. It is necessary to compare the distribution of the impedance in frequency and along the length of the tube, found from an experiment with a theoretical distribution of the impedance calculated from the equations of acoustics. It is very important that when adjusting the aggregates of the gas compressor station, it becomes necessary to compare the characteristics of the acoustic field obtained from the experiment and calculated from the system of equations describing the functioning of the power plant. In this connection, it is necessary to investigate what measurements need to be taken during the test and how to process the information obtained in order to obtain the necessary characteristics of the acoustic wave (impedance, the ratio between the energies of the running and standing components). The paper considers the propagation of vibrations from the pipe walls excitation source. It is shown that complex roots define waves that carry energy source to infinity. All remaining roots define such an oscillatory motion, the energy of which is localized near the source.