Full Article: PDF
Scientific Object Identifier: http://s-o-i.org/1.1/TAS-12-44-12
DOI: http://dx.doi.org/10.15863/TAS.2016.12.44.12
Language: Russian
Citation: Pan’kov AA, Anoshkin AN, Pisarev PV (2016) ACOUSTIC RESONANCE IN THE CYLINDRICAL TWO-CHAMBER CELL WITH THE ELASTIC PERMEABLE MEMBRANE. ISJ Theoretical & Applied Science, 12 (44): 55-61. Soi: http://s-o-i.org/1.1/TAS-12-44-12 Doi: http://dx.doi.org/10.15863/TAS.2016.12.44.12 |
Pages: 55-61
Published: 30.12.2016
Abstract: For the purpose of expansion of a resonant range of working frequencies of cells of sound-absorbing cellular panels the mathematical models of oscillatory acoustic processes in an open cylindrical two-chamber cell with a cross round partition or a membrane taking into account its permeability, elasticity and deflections caused by action of harmonious external acoustic pressure with the set circular frequency and amplitude are considered. In models the mass of air in the open first camera is concentrated in the top section or "piston" at an entrance to a cell; and energy dissipation we don't consider the mass of a membrane, air in the second camera yet. The system of the differential equations of the compelled fluctuations for finding of shift, increments of pressure in both cameras of a cell is received. Analytical solutions for pressure in open top and lower closed by membrane cameras are found and amplitude-frequency characteristics of various cells with а easily permeable rigid membrane, with an impenetrable rigid membrane and an impenetrable elastic membrane are calculated. For adaptation to a wide range of noise suppression for a cell with an impenetrable elastic membrane optimum resonant values of coefficient of flexural rigidity of a membrane as monotonously increasing function from the frequency of acoustic noise at an entrance to a cell are found.
Key words: aeroacoustics, resonant cell, membrane, compelled fluctuations, noise-absorbing, mathematical model.
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