Acoustic radiation through a flexible shell in a bifurcated circular waveguide

Abstract

The current study models and explains the fluid–structure coupled response of a flexible shell connected with two rigid coaxial shells via circular step discontinuities. Radiations from annular and inner regions of inlet rigid shells scatter on interfaces after interaction with the geometric variations and change of material properties. The flexible shell that supports vibrations along the shell is expressed though the Donnell–Mushtari formulation in the differential system. The mode‐matching technique is applied to solve the governing boundary value problem. The solution is projected on the orthogonal characteristics which in flexible casing is generalized as compared with the properties of acoustically rigid setting. The implication of generalized orthogonality relations governs additional constants that are found by defining the physical connection of shell with rigid disc. The clamped and pin‐jointed conditions are considered in this article. The scattering powers and transmission loss are analyzed against frequency, chamber length, and radii of shells for clamped and pin‐jointed edge conditions. It is found that the power propagation in annular shell and inner shell behave conversely. Moreover, configuration can be attenuated through the variation of dimensions of chamber and edge conditions.

Analyzing the impact of flexible shells and sound absorbent lining on acoustic wave behavior in ducts

“…It also delves into the influence of sound-absorbent material on the reflection and transmission of acoustic energy. While prior research has involved a finite flexible shell in the chamber with bifurcated and trifurcated inlet and outlet, as seen in Yaseen and Nawaz [29], this study focuses on a finite lined chamber connected to two semi-infinite flexible shells via step-discontinuities at the interfaces. To address the governing boundary value problem, the paper employs the mode-matching technique, leveraging generalized orthogonal properties [39,40].…”

“…For example, Brambley and Peake [28] examined the impact of compressible mean flow on the structural stability and acoustic behavior of a cylindrical thin shell. The scattering characteristics of a bifurcated waveguide comprising a flexible thin shell in the expansion chamber filled with compressible fluid are discussed [29], and this is later extended to the trifurcated waveguide structure in Afzal et al [30]. The acoustic response from the dynamical surfaces tailored in the flexible shell is discussed in extended bifurcated and trifurcated inlet and outlet with thin flexible shell in earlier studies [31, 32].…”

Acoustic wave radiation from a coaxial pipe with partial lining and inner perforated screen

“…8,9 The Mode-Matching method is particularly effective in infinite ducts with different discontinuities. [11][12][13][14][15] The fields in each region are expressed in terms of these modes and the solution is obtained. If a semi-infinite or finite geometry is in question, a hybrid method can be applied by using the Wiener-Hopf technique on the outer surface of the duct and the Mode-Matching method on the inner surface.…”

Modeling and analysis of scattering in trifurcated guided waves with hard and flexible outer surfaces: A mathematical study

“…Tiwana et al [20] also studied sound radiation effects due to bifurcated waveguide structures with multiple bounding properties of non-dynamics type. Nevertheless, there is a literature gap in addressing multiple multifurcated problems with flexible boundaries except very few studies are established in recent times [21][22][23]. The consideration of such structures becomes imperative as rectangular waveguides have a much larger bandwidth over which only a single mode can propagate.…”