Fourier expansion solution for a switched shunt control applied to a duct

• Autorzy: Ameduri S. , Ciminello M.

Warianty tytułu

PL

Rozwiązanie Fouriera dla przewodu akustycznego z bocznikującym układem sterowania

• Języki publikacji: EN

Abstrakty

EN

In the present work, a semi analytic approach aimed at estimating the effects on reduction of the pressure sound level by synchronised switched shunt logic is described. The displacement field within a 1D longitudinal air column through a Fourier series expansion has been formalised by assigning a sinusoidal perturbation and fluid-structure interface condition on the left and right boundaries, respectively. To simulate the no control operative condition, the solution has been computed for the entire time domain, keeping invariant all circuitry properties; then for the switch working modality, the solution has been computed by splitting the entire time domain into partitions; for any partition, specific circuitry properties (e.g. piezo voltage, electrical field...) have been selected. Based on the displacement information, the related sound pressure level has been compared for no controlled and controlled operative conditions, with and without signal amplification.

PL

W pracy zaprezentowano pół-analityczne rozwiązanie zagadnienia redukcji poziomu ciśnienia akustycznego w przewodzie za pomocą zsynchronizowanej metody bocznikowania. Opis pola przemieszczeń wewnątrz jednowymiarowej kolumny powietrza sformalizowano rozwinięciem w szereg Fouriera przy uwzględnieniu sinusoidalnie zmiennych zaburzeń na prawym i lewym brzegu przewodu. Dla przypadku z wyłączonym układem sterowania rozwiązanie obliczono w całej dziedzinie czasu przy utrzymaniu stałych parametrów obwodu elektrycznego, natomiast dla trybu sterowanego dokonano analizy, dzieląc przedział czasu na fragmenty. W każdym z nich charakterystyczne cechy układu sterowania (np. napięcie przykładane do piezoelektryków, natężenie pola elektrycznego...) dobrano w odpowiedni sposób. Na podstawie obserwacji przemieszczeń porównano poziom ciśnienia akustycznego dla warunków z wyłączonym i włączonym sterowaniem oraz z i bez wzmocnienia sygnału.

Słowa kluczowe

EN

synchronised switched shunt control; piezoelectric; pressure sound level

• Wydawca: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
• Czasopismo: Journal of Theoretical and Applied Mechanics
• Rocznik: 2010
• Tom: Vol. 48 nr 2
• Strony: 479--504
• Opis fizyczny: Bibliogr. 30 poz., rys., tab.

Twórcy

autor

Ameduri S.

autor

Ciminello M.

• The Italian Aerospace Research Centre, Capua, Italy,

Bibliografia

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• 2. Boyce W.E., DiPrima R.C., 2008, Elementary Differential Equations and Boundary Value Problems, Jhon Wiley & Sons Inc, seventh edition, 621-655
• 3. Ciminello M., Ameduri S., Calabr`o A., Concilio A., 2008a, Synchronised switched shunt control technique applied on a cantilevered beam: numerical and experimental investigations, JIMSS, 19, 9, 1089-1100
• 4. Ciminello M., Deu J.-F., Ohayon R., Ameduri S., 2008b, Vibration reduction of structural-acoustic systems using synchronized switch damping techniques, Proceeding of 2008 ASME International Conference on Smart Materials, Adaptive Structures and Intelligent Systems, Ellicot City, MD, USA, Paper SMASIS08-320
• 5. Ciminello M., Lecce L., Ameduri S., Calabr`o A., Concilio A., 2008c, Switched shunt control implemented through a PZT network embedded within a composite panel: design, manufacture and test, submitted to JIMSS-08-452
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