Open Access

ARTICLE

Unified Dispersion Characteristics of Structural Acoustic Waveguides

Abhijit Sarkar¹, M. V. Kunte², Venkata R. Sonti²

1 Department of Mechanical Engineering, Indian Institute of Technology Madras, Chennai - 600036, India
2 Vibro-Acoustics Lab, Facility for Research in Technical Acoustics, Department of Mechanical Engineering, Indian Institute of Science, Bangalore - 560012, India

Computer Modeling in Engineering & Sciences 2011, 81(3&4), 249-268. https://doi.org/10.3970/cmes.2011.081.249

Abstract

In this article, we show with some formalism that infinite flexible structural acoustic waveguides have a general form for the dispersion equation. The dispersion equation of all such waveguides should conform to a generic form. This allows us to bring out the common features of structural acoustic waveguides. We take three examples to demonstrate this fact, namely, the rectangular, the circular cylindrical and the elliptical geometries. Where necessary, the equations are simplified for applicability to a particular frequency-regime before demonstrating the conformance to the generic form of the dispersion relation. It is then shown that the coupled wavenumber solutions of all these systems can be represented on a single schematic.

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Keywords

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