ePrints@IIScePrints@IISc Home | About | Browse | Latest Additions | Advanced Search | Contact | Help

Multi-mode interactions in a nonlinear structural-acoustic cylindrical waveguide

Bharat, B and Sonti, VR (2018) Multi-mode interactions in a nonlinear structural-acoustic cylindrical waveguide. In: 47th International Congress and Exposition on Noise Control Engineering: Impact of Noise Control Engineering, INTER-NOISE 2018, 26 - 29 August 2018, Chicago.

Full text not available from this repository.


Nonlinear structural acoustic wave propagation inside an infinite flexible circular cylindrical waveguide is investigated. The acoustic fluid inside the waveguide is taken to be inviscid with zero mean flow. For the cylindrical waveguide, Donnell’s nonlinear shell theory is used, that takes into account only the radial displacement. At the fluid structure interface, the nonlinear boundary condition is used. A monochromatic wave composed of multiple cross-sectional modes is considered to be propagating in the system. The amplitudes of these modes are known at the first order. The asymptotic method is used to resolve the system into a set of linear and nonlinear equations. This results in a dispersion equation at the first order from which the coupled wavenumbers are found using the regular perturbation technique. At second order, interaction of multiple non-orthogonal modes is sought. The nonlinear interaction of the different modes in the system gives rise to non-resonant, nearly resonant and weakly resonant phenomena. Different criteria that govern the occurrence of these phenomena and the effect of the non-zero admittance of the boundary on these phenomena are discussed.

Item Type: Conference Paper
Publication: INTER-NOISE 2018 - 47th International Congress and Exposition on Noise Control Engineering: Impact of Noise Control Engineering
Publisher: Institute of Noise Control Engineering
Additional Information: The copyright for this article belongs to the Institute of Noise Control Engineering.
Keywords: Acoustic noise; Acoustic variables control; Acoustic wave propagation; Architectural acoustics; Circular waveguides; Control theory; Fluid structure interaction; Perturbation techniques, Circular cylindrical waveguides; Cross-sectional modes; Fluid-structure interfaces; Multi-mode interactions; Non-linear boundary conditions; Non-orthogonal modes; Nonlinear interactions; Regular perturbation technique, Nonlinear equations
Department/Centre: Division of Mechanical Sciences > Mechanical Engineering
Date Deposited: 18 Aug 2022 09:03
Last Modified: 18 Aug 2022 09:03
URI: https://eprints.iisc.ac.in/id/eprint/75966

Actions (login required)

View Item View Item