Analysis of noise attenuation through soft vibrating barriers: an analytical investigation

Alkinidri, Mohammed; Hussain, Sajjad; Nawaz, Rab

doi:10.3934/math.2023918

Cited by 8 publications

(2 citation statements)

References 27 publications

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“…Analytical mode-matching methods are found to be useful for analysis of the energy propagation in a waveguide. The technique has recently been advanced in various directions to investigate the scattering behavior of acoustic waves at structural discontinuities: for instance, see [5][6][7][8][9][10]. The transfer of electromagnetic energy using plasma waveguides has always been an interest of researchers [11][12][13][14][15].…”

Section: Introductionmentioning

confidence: 99%

Cold plasma-induced effects on electromagnetic wave scattering in waveguides: a mode-matching analysis

Rizvi,

Afzal

2024

Commun. Theor. Phys.

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This article presents advancements in an analytical mode-matching technique for studying electromagnetic wave propagation in a parallel plate metallic rectangular waveguide. The technique involves projecting the solution onto basis functions and solving linear algebraic systems to determine scattering amplitudes. The accuracy of the method is validated through numerical assessments which involve the reconstruction of matching conditions and conservation laws. The study highlights the impact of geometric and material variations on reflection and transmission phenomena in the waveguide.

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Section: Introductionmentioning

confidence: 99%

Cold plasma-induced effects on electromagnetic wave scattering in waveguides: a mode-matching analysis

Rizvi,

Afzal

2024

Commun. Theor. Phys.

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“…Another solution for the submerged elastic semi-infinite plate based on the Wiener-Hopf [WH] and Residue Calculus [RC] solutions has been presented in [20]. The impact of fluid flow and vibration on the acoustics of a subsonic flow is examined in [21]. The analysis of wave diffraction in an anisotropic medium is presented in [22,23].…”

Section: Introductionmentioning

confidence: 99%

Modeling of free vibrations and resonant frequencies of simply-supported submerged horizontal plate

Slawinska-Budzich,

Sulisz,

Przewlocki

2024

PLoS ONE

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A theoretical approach was applied to study the vibration of simple-supported submerged horizontal plate. The derived analytical solution was used to determine natural frequencies for a horizontal plate vibrating in fluid. The investigations were conducted for a very wide range of material density and elasticity modulus covering all materials used in engineering practice. Analysis shows that plate vibration frequency decreases with increasing plate width and draft, and decreases with decreasing plate thickness. Moreover, the results show that a substantial effect on vibration of submerged plate has mass of water above plate. The results also show that plate vibration frequency decreases with increasing plate material density and decreases with decreasing elasticity modulus. The dominant factors affecting the vibration of the submerged plate are the plate width, the plate thickness, and elasticity modulus. For moderate and low values of elasticity modulus, vibration frequency is becoming lower than frequency of water waves. This is very important because wave frequencies overlap with the natural plate vibration frequencies, which may lead to resonance and failure of a structure. The problem is that the overlap of plate vibration frequencies and wave frequencies occurs for very wide range of wave and plate parameters. Laboratory experiments confirm theoretical results.

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Mathematical analysis of acoustic wave interaction of vibrating rigid plates with subsonic flows

Hussain,

Nawaz,

Bibi

2024

Math Methods in App Sciences

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This research article investigates the effects of object's vibration and fluid movement on the acoustics of subsonic flows, specifically focusing on the scattering of acoustic waves by a vibrating rigid plate submerged in uniform flow. The acoustic plane wave that impacts the plate, coupled with its oscillatory motion, causes a disruption in the fluid medium. This disturbance, in turn, gives rise to a Rayleigh wave that propagates along the boundary separating the plate and the fluid. The study uses the Wiener‐Hopf technique to analytically model the acoustic scattering by a rigid barrier of finite dimensions and analyze the relationship between acoustics and structures. The method involves applying Fourier transformations to the governing boundary value problem and resolving the Wiener‐Hopf equations using the factorization theorem, Liouville's theorem, and analytical continuation. The integral equations of scattered potential computed asymptotically are used to describe the acoustic characteristics of structures and their interaction with fluid flow in subsonic conditions. The findings of the study reveal the sharp peaks of the scattered potential at certain angles with more oscillation in high subsonic flow. Also, increasing the frequency of the vibrating plate increases the amplitude of the scattered potential but is attenuated in mean flow whereas enhancing plate vibrations amplifies the scattered sound, and it is more vibrant in high subsonic flow than mean flow and no fluid flow. This research has applications in noise reduction, aeronautical engineering, and the detection of underwater structures using acoustic waves and micropolar elastic media.

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Analysis of noise attenuation through soft vibrating barriers: an analytical investigation

Cited by 8 publications

References 27 publications

Cold plasma-induced effects on electromagnetic wave scattering in waveguides: a mode-matching analysis

Cold plasma-induced effects on electromagnetic wave scattering in waveguides: a mode-matching analysis

Modeling of free vibrations and resonant frequencies of simply-supported submerged horizontal plate

Mathematical analysis of acoustic wave interaction of vibrating rigid plates with subsonic flows

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