Resonance peculiarities of the forced wave propagation in the liquid in the tubes
Abstract
The article is devoted to the problem of the modeling of the sound wave propagation in cylindrical tube exited harmonic oscillations of the freeform membrane. The mathematical formulation of the model is reduced to the second boundary value problem for the wave equation. The wave equation for the potential velocity of the liquid passes into the Helmholtz equation in the case of harmonic external force. The analytical expression described of liquid velocity potential distribution is derived. The boundary value problem Green function is obtained. The phase and group velocity are determined. The particularities of propagation of sound waves exited harmonic oscillations of the round membrane are considered. In this paper it is shown that the finite number of harmonic is exited. The resonance frequencies near which the oscillation amplitude will maximize are specified. It is founded that the finite number of such frequencies can exist.
About the Authors
Sergey Evgenyevich Savotchenko
Belgorod State Technological University named after V.G. Shukhov
Russian Federation
Russian Federation
Alexander Semenovich Gorlov
Belgorod State Technological University named after V.G. Shukhov
Russian Federation
Russian Federation
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Review
For citations:
Savotchenko S.E., Gorlov A.S. Resonance peculiarities of the forced wave propagation in the liquid in the tubes. Science. Innovations. Technologies. 2017;(2):63-72. (In Russ.)
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