Scattering through a flexural trifurcated waveguide by varying the material properties

Abstract

This article presents a dispersion analysis of flexural trifurcated dominants acoustic wave mode propagating out of the mouth of a semi-rigid waveguide. The problem mainly concerns the study of the scattering characteristics of the structure subject to different material properties. The governing non Sturm-Liouville problem is approached through eigenfunction expansions while equating the orthogonal and non-orthogonal duct modes across the interface. Due to the multiple non-planar surfaces, the essential difficulty of root findings versus the respective scattering relationships is accomplished by proper justification. The uniqueness of the solution is assured while considering connections clamped and pinned on bending surfaces. In addition, the energy fluxes for each region of the duct are formulated in terms of scattered fields to analyze the energy distribution subject to different properties of the waveguide material. The results are well supported for different mathematical and physical reasons.

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

“…In the context of structural difficulties, the phrases "clamped," "pivoted," and "pin-jointed" are frequently used to characterise various sorts of boundary conditions. These conditions explain how a specific structure is either supported or constrained at the edge and can be viewed in many related studies [21,22,[24][25][26]. Moreover in order to ensure matching of pressure and velocity at the junction, we impose the following conditions…”

“…In the context of structural difficulties, the phrases “clamped,” “pivoted,” and “pin‐jointed” are frequently used to characterise various sorts of boundary conditions. These conditions explain how a specific structure is either supported or constrained at the edge and can be viewed in many related studies [21, 22, 24–26]. Moreover in order to ensure matching of pressure and velocity at the junction, we impose the following conditions $$$$\begin{equation} {\left.$$…”

“…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.…”

Dispersion of elastic waves in the three-layered inhomogeneous sandwich plate embedded in the Winkler foundations

“…The waveguides, elastic plates, beams, laminates, panels, rods, as well as cylindrical shells, are some of the structures that may be found in multiply-bond layers, to highlight a few, see Refs. [6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25] In terms of layered structure design and structural analysis, which frequently has contrasting material and geometrical parameters, such as size, volume density, and stiffness. Layered structures offer advantages such as high resistance, lightweight, and strength; additionally, they have static and dynamic excitations.…”

Energy distribution of bifurcated waveguide structure with planar and non-planar surfaces

“…In the absence of phase discontinuities, the MM technique was used to address the acoustic dispersion in planar trifurcated and pentafurcated waveguides structures carrying compressible fluid. Current research in this field is noticeable using specified references [16][17][18][19][20][21][22][23][24][25].…”