Determination of natural frequencies in piping systems using transfer matrix method

In this paper we propose to study the natural frequencies in pipe flows with consideration of fluid-structure interaction. More specifically, it is to assess system characteristics such as vibration response, the transfer function, the maximum pressure, etc., for a wide range of frequencies and show the influence of fluid-structure interaction in piping systems. The transfer matrix method and the Laplace transformation are used to calculate the natural frequencies of systems with various boundary conditions taking into account the fluid-structure interaction. Results of numerical analysis for some simple piping systems are presented to illustrate the application of the proposed method and to show the effect of fluidstructure interaction on the values of natural frequencies.