Analysis of the energy transmission in spatial piping systems with heavy internal fluid loading

The energy transmission in spatial elastic water-filled pipes is considered. A solution of the wave propagation problem in the framework of the general theory of elastic cylindrical shells with internal fluid loading is used as a reference. It is shown that energy transmission phenomena may be adequately described by means of the reduced theory in the frequency range of practical interest. The boundary integral equations method is specialised for this reduced theory and two generic problems of the energy transmission in piping systems are solved. The first one is concerned with analysis of the distribution of the transmitted energy between two branches in a pipeline with a single joint and between alternative transmission paths in each branch. Besides the frequency and the type of excitation, the influence of an angle between connected pipes is studied. The second problem is related to analysis of the energy transmission in a pipe with multiple regularly spaced junctions and attention is focused at formation of frequency band gaps due to periodicity of location of branches.