Theoretical Model of Acoustic Wave Propagation in Shallow Water

Kozaczka, Eugeniusz; Grelowska, G.

doi:10.1515/pomr-2017-0049

Cited by 10 publications

(7 citation statements)

References 15 publications

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“…The foregoing considerations are different from the ones presented in the literature [1,6] taking advantage of the same method as the one used here. The above-described method of solving the problem of wave propagation in a non-homogeneous medium, in the conditions described above, makes it possible to present the results in an analytic form using the Mathieu function.…”

Section: Discussionmentioning

confidence: 83%

“…Propagation of an acoustic wave in a liquid medium with a temperature gradient is found in practice quite frequently. This subject was intensely studied in Great Britain, which has always been a maritime power [1]. Acoustic signaling is a significant aspect of navigation, as acoustic signals carry information on the macrostructure of the sea.…”

Section: Propagation Of Acoustic Wave In the Acoustically Non-homogenmentioning

confidence: 99%

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The Application of the Special Functions to Solving Physical Problems

2019

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The purpose of this work is to examine the reflection of a plane acoustic wave at normal incidence at the boundary of equally flat medium of finite thickness. It separates two homogeneous semi-infinite media. We are interested in the case where two external media have constant wave numbers, respectively k1 and k2, and that the wave number k varies from k1 to k2 in a continuous and monotonic way. This is a problem that we solve by using Mathieu's functions.

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Section: Discussionmentioning

confidence: 83%

Section: Propagation Of Acoustic Wave In the Acoustically Non-homogenmentioning

confidence: 99%

The Application of the Special Functions to Solving Physical Problems

2019

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“…In [20], the propagation of a Love wave in functional-gradient media with an electrode boundary and a sharply thickened imperfect interface was investigated; the deformations of the interacting media under intense load were not taken into consideration. Study [21] reports the microscopic instabilities and the propagation of elastic waves in finitely deformable layered materials with compressible hyperelastic phases. In [22], the result of studying the thermomechanical behavior of multilayer media is given on the basis of the Lord-Shulman model; the interactions of media were not considered.…”

Section: Literature Review and Problem Statementmentioning

confidence: 99%

Construction of mathematical models of the stressed-strained state of a material with a porous water-saturated base under dynamic load

Aidosov¹,

Narbayeva

2021

EEJET

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Materials of beams, plates, slabs, strips have been commonly applied in various fields of industry and agriculture as flat elements in the structures for machinery and construction. They are associated with the design of numerous engineering structures and facilities, such as the foundations of various buildings, airfield and road surfaces, floodgates, including underground structures. This paper reports a study into the interaction of the material (of beams, plates, slabs, strips) with the deformable base as a three-dimensional body and in the exact statement of a three-dimensional problem of mathematical physics under dynamic loads. The tasks of studying the interaction of a material (beams, plates, slabs, strips) with a deformable base have been set. A material lying on a porous water-saturated viscoelastic base is considered as a viscoelastic layer of the same geometry. It is assumed that the lower surface of the layer is flat while the upper surface, in a general case, is not flat and is given by some equation. Classical approximate theories of the interaction of a layer with a deformable base, based on the Kirchhoff hypothesis, have been considered. Using the well-known hypothesis by Timoshenko and others, the general three-dimensional problem is reduced to a two-dimensional one relative to the displacement of points of the median plane of the layer, which imposes restrictions on external efforts. In the examined problem, there is no median plane. Therefore, as the desired values, displacements and deformations of the points in the plane have been considered, which, under certain conditions, pass into the median plane of the layer. It is not possible to find a closed analytical solution for most problems while experimental studies often turn out to be time-consuming and dangerous processes

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“…When examining the impact of vessels on the coastal zone, one should also take into account the fact that each object moving on the water surface is a source of disturbances of the local pressure fields. In the literature, the pressure perturbations are separated into hydroacoustic pressure [12,13] and hydrodynamic pressure [14,15] signals. These might be used synergisticallyto improve the detection and identification opportunities for objects floating on the water surface, compared to the capability provided by each signal individually.…”

Section: Introductionmentioning

confidence: 99%

Detection of Floating Objects Based on Hydroacoustic and Hydrodynamic Pressure Measurements in the Coastal Zone

Buszman

Gloza

2020

Polish Maritime Research

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The development of coastal infrastructure and related maritime transport necessitatesthe intensification of vessel traffic monitoring. Navigation systems used in this research are traditionally based on the information transmitted by radio waves. Marine traffic safety requires constant supervision carried out by dedicated systems, the operation of which may be limitedby difficult environmental conditions. The possibilities of supporting navigation systems with underwater observation systems are explored here. The research was carried out using an underwater measurement system. Local disturbances of the hydroacoustic and hydrodynamic field from the moving vessels were analysed. The potential for identifying a moving vessel, for example for offshore infrastructure security purposes, is demonstrated.

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Theoretical Model of Acoustic Wave Propagation in Shallow Water

Abstract: TThe work is devoted to the propagation of low frequency waves in a shallow sea. As

Cited by 10 publications

References 15 publications

The Application of the Special Functions to Solving Physical Problems

The Application of the Special Functions to Solving Physical Problems

Construction of mathematical models of the stressed-strained state of a material with a porous water-saturated base under dynamic load

Detection of Floating Objects Based on Hydroacoustic and Hydrodynamic Pressure Measurements in the Coastal Zone

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