Abstract
The method of calculating the frequencies and amplitudes of acoustic vibrations, induced by fluid moving in long pipelines with closed branches, was proposed. Resonant frequencies are supposed to correspond to local maxima of the functional containing the ratio of energy in the vibrating system and absorbed energy from the system boundaries. The energy approach is carried over to analysis not only of vibration frequencies but also of their amplitudes. For determining vibration amplitudes, the balance of input (as a function of the Strouhal number) and absorbed energies was written. Preliminary analysis of forced vibrations of secondary steam lines (Unit No. 1 of Zaporozhye Nuclear Power Plant with a WWER-1000 reactor), induced by turbulent vortices in closed toroidal sections, was completed. Resonant frequencies and amplitudes of acoustic vibrations were evaluated. With the equations of fluid-pipeline interaction, vibration stresses and velocities of pipelines were computed and compared with measuring data.
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