Neural network based approach for solving problems in plane wave duct acoustics

Veerababu, D and Ghosh, PK (2024) Neural network based approach for solving problems in plane wave duct acoustics. In: Journal of Sound and Vibration, 585 .

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Abstract

Neural networks have emerged as a tool for solving differential equations in many branches of engineering and science. But their progress in frequency domain acoustics is limited by the vanishing gradient problem that occurs at higher frequencies. This paper discusses a formulation that can address this issue. The problem of solving the governing differential equation along with the boundary conditions is posed as an unconstrained optimization problem. The acoustic field is approximated to the output of a neural network which is constructed in such a way that it always satisfies the boundary conditions. The applicability of the formulation is demonstrated on popular problems in plane wave acoustic theory. The predicted solution from the neural network formulation is compared with those obtained from the analytical solution. A good agreement is observed between the two solutions. The method of transfer learning to calculate the particle velocity from the existing acoustic pressure field is demonstrated with and without mean flow effects. The sensitivity of the training process to the choice of the activation function and the number of collocation points is studied. © 2024 Elsevier Ltd

Item Type:	Journal Article
Publication:	Journal of Sound and Vibration
Publisher:	Academic Press
Additional Information:	The copyright for this article belongs to Academic Press.
Keywords:	Acoustic fields; Acoustic wave velocity; Boundary conditions; Elastic waves; Frequency domain analysis; Optimization; Velocity control; Wave propagation, Convective effects; Gradually varying area duct; Helmholtz's equations; Narrow tubes; Narrow-tube effect; Network-based approach; Neural-networks; Optimisations; Plane wave; Uniform duct, Ducts
Department/Centre:	Division of Electrical Sciences > Electrical Engineering
Date Deposited:	29 May 2024 05:05
Last Modified:	29 May 2024 05:05
URI:	https://eprints.iisc.ac.in/id/eprint/84999

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