10 July 2002 Rayleigh-Ritz/boundary element modeling approach for active/passive control
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In this paper, a novel hybrid Rayleigh-Ritz/Boundary Element (RR/BE) solution method is proposed to model acoustic domains with flexible walls with piezoelectric patches. The RR approach is a simple, computationally inexpensive approach when compared to the finite element method for flexible walls with surface mounted piezoelectric patches. The RR method is then combined with the boundary element model of the interior acoustic domain and the coupled fluid-structure model is used for designing an active noise control system. This model also allows a designer to incorporate a passive absorber at the fluid-structure interface. The predicted sound pressure attenuation for three different thicknesses of passive absorber in the frequency range of 200 to 1200 Hz is calculated and an optimal thickness value of for the absorber for the smart panel is calculated. The attenuation in sound pressure levels due to an active control system in the presence of passive absorber is also computed. The system matrices resulting from this method are very smaller in size when compared to the FE models, which makes this approach most suitable for optimization studies. This new approach can be further extended to model the more complicated acoustic enclosures with complex interface.
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Senthil V. Gopinathan, Senthil V. Gopinathan, Vasundara V. Varadan, Vasundara V. Varadan, Vijay K. Varadan, Vijay K. Varadan, } "Rayleigh-Ritz/boundary element modeling approach for active/passive control", Proc. SPIE 4693, Smart Structures and Materials 2002: Modeling, Signal Processing, and Control, (10 July 2002); doi: 10.1117/12.475231; https://doi.org/10.1117/12.475231

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