The finite difference technique of vibroacoustical pipeline characteristics are developed. The technique allows calculations vibroacoustical characteristics of pipe with the axial line lying in one plane under force excitation by oscillating fluid flow. The technique is based on the solving differential equation system of interaction between solid and oscillating fluid in the pipeline. Solution was done for transient non-stationary nonlinear differential equation system. The boundary conditions for fluid is a parameter combination of complex pressure oscillation amplitude of pipeline inlet section, complex pressure oscillation amplitude of pipeline outlet section, complex velocity oscillation amplitude of pipeline inlet section, complex velocity oscillation amplitude of pipeline outlet section, load impedance, input impedance. The boundary conditions for solid is bonding of the pipeline. Time response of the pipeline vibration are resulted of these techniques. The mathematical technique computational coast is 3 orders less than Ansys technique. The method is developed for pipeline diameter much smaller than acoustic wavelength in a fluid. It is actual for aircraft pipelines, pipes of power plants, mobile machines and pipes of stationary processing machines.
The Finite Difference Technique for Modelling of Pipe System Vibroacoustical Characteristics
Mironova, T, Prokofiev, A, & Sverbilov, V. "The Finite Difference Technique for Modelling of Pipe System Vibroacoustical Characteristics." Proceedings of the 9th FPNI Ph.D. Symposium on Fluid Power. 9th FPNI Ph.D. Symposium on Fluid Power. Florianópolis, SC, Brazil. October 26–28, 2016. V001T01A021. ASME. https://doi.org/10.1115/FPNI2016-1533
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