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Numerical Method for Hetero-Cavities Natural Frequencies’ Determination


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DOI: https://doi.org/10.15866/ireme.v10i3.8913

Abstract


Noise elimination and sound intensity reduction are significantly one of the most important scientific topics. Thanks to the researches on natural frequencies, this subject has started to find a satisfactory answer. Nevertheless, the natural frequencies calculation is still complicated. Assuming the paraxial approximation of the Helmholtz equation, a simple method for natural frequency determination is developed. Our method is available for any number of non-symmetrical, non-periodical hetero-cavities. It can be applied on a multi-cavities system with varying length and cross-area. To illustrate the feasibility of the proposed method, cases of simple tube, Helmholtz resonator and multi-cavities systems have been examined. The proposed method is found to be useful for any number of cavities arranged in any random way making it more realistic, simple, and valid for cavities analysis and design.
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Keywords


Natural Frequency; Helmholtz Resonator; Multi-Cavities; Allowed Band

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References


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