On the attenuation of fluid–structure coupled modes in a non-planar waveguide

Author:

Shafique Sajid1,Afzal Muhammad1,Nawaz Rab2ORCID

Affiliation:

1. Department of Mathematics, Capital University of Science and Technology, Islamabad, Pakistan

2. Department of Mathematics, COMSATS University, Islamabad, Pakistan

Abstract

In this article, the attenuation of fluid–structure coupled modes of non-planar waveguide involving cavities is discussed. The physical problem is modeled to illustrate the scattering behavior of acoustic waves in a flexible waveguide composed of thin elastic elements having edges or joints and structural discontinuities. The fluid–structure coupled waveforms scatter after interacting with the discontinuities and edges of the underlying structure. An appropriate choice of edges offers scattering or resonance processes, which also guide fluid–structure coupled waves. The mode-matching technique, together with low-frequency approximation, is used to determine velocity potentials. The guiding structure is then analyzed and validated through scattering energy functionals by varying the dimensions of the cavities and the wave frequency. The results are formulated and analyzed by tuning the device using an appropriate choice of edge conditions, dimension of cavities, and wave frequencies, thereby validating the obtained solutions. These descriptions are very useful for the active control measure of structural vibrations.

Publisher

SAGE Publications

Subject

Mechanics of Materials,General Materials Science,General Mathematics

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