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Analysis of Eigen Frequency Through a Simple Architectural Acoustic Modal.

Publication Type : Journal Article

Publisher : Journal of Physics: Conference Series

Source : Journal of Physics: Conference Series, Institute of Physics Publishing, Volume 1172, Number 1 (2019)

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Keywords : Absorption co-efficient, Acoustic impedance, Acoustics, Architectural acoustics, Boundary problems, Eigen frequencies, eigenvalues and eigenfunctions, Fourier techniques, Fourier transforms, Neumann condition, Reflection, Retention coefficients, Room acoustics, Sturm-Liouville

Campus : Bengaluru

School : School of Engineering

Department : Mathematics

Year : 2019

Abstract :

In this paper, we have displayed an answer for the portrayal of the room acoustics field with the mix of uniform impedance limit conditions forced on a few dividers utilizing Fourier strategy. Acoustic limit conditions are communicated in the terms of retention coefficient esteems. In this issue, the Fourier technique is determined zas the blend of three one-dimensional Sturm-Liouville (S-L) issues with Robin-Robin limit conditions at the first and second measurement and Robin-Neumann ones at the third measurement. The Fourier strategy requires an assessment of eigenvalues and eigenfunctions of the Helmholtz condition, by means of the arrangement of the eigenvalue condition, every which way. The arrangements are examined utilizing chart. As a curiosity, it is exhibited that the Fourier technique gives a helpful and productive approach for a room acoustics with various estimations of divider impedances. Hypothetical contemplations are shown for rectangular cross-area of the live with specific proportion. Results got in the paper will be a perspective to the numerical figuring's. © Published under licence by IOP Publishing Ltd.

Cite this Research Publication : A. U. Nair and Dr. Neetu Srivastava, “Analysis of Eigen Frequency Through a Simple Architectural Acoustic Modal.”, Journal of Physics: Conference Series, vol. 1172, 2019.

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