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Computational design of flexible structures for vibro-acoustic noise control: A semi-analytical approach
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DOI：10.1177/10775463261437361.png)
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Abstract
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This paper presents a semi-analytical computational framework for the design and analysis of flexible structures for vibro-acoustic noise control. The study focuses on an axisymmetric configuration consisting of a flexible cylindrical shell with elastic membrane discs located at the interfaces. The structure is excited by axial structure-borne waves traveling along the shell, which couple to a membrane-bounded internal cavity and radiate into an extended outlet region. The governing boundary-value problem comprises the Helmholtz equation in the fluid domain and the Donnell-Mushtari shell equations at the radial boundary, leading to eigenfunctions that are non-orthogonal and linearly dependent. At the interfaces, the membrane discs are modeled via a Galerkin projection onto orthogonal membrane modes. Continuity of normal velocity at the interfaces is imposed to couple the orthogonal membrane modes with the non-orthogonal shell-acoustic modes, yielding a linear algebraic system for the symmetric and antisymmetric modal amplitudes. The convergence of the truncated solution is assessed through reconstruction of the continuity conditions and verification of an intrinsic power-conservation identity. Numerical experiments illustrate how system parameters, such as membrane tension and shell radius, influence the filtering and excitation of higher-order fluid-structure coupled modes.
Keywords:
flexible shell
acoustic scattering
mode-matching method
Galerkin method
elastic membranes
Journal
J
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2.4
Papers:
349
Citations:
8.8K
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