Certain hybrid integral transforms and their application in the theory of elasticity of heterogeneous media

Проценко, В. С.; Соловьев, А.И.

doi:10.1007/bf00886248

Cited by 4 publications

(2 citation statements)

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“…We consider that the function is analytic in the half-plane Re 0 p  according to condition (12). We make the change pi   in the first integral, and in the second integral pi   we will present the problem solution ( 4)-( 7) in the form:…”

Section: mentioning

confidence: 99%

Fourier-type integral transforms in modeling of transversal oscillation

Yaremko

Tyapin

2014

Int J App Math Elt Comp

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Envelope detection and measurement has important applications in many domains such as instrumentation, sensors characterization, analog and digital communications. Instead of other envelope detection methods that use analog circuits or digital filters, we propose an electronic circuit that operates measurement in coherent mode. After reproduction of the input wave frequency using direct digital synthesizer, we place the envelope on a new low reference frequency signal followed by an analog measurement block based on analog multipliers and low-pass filters. Design circuit, simulation and experimental results are presented to validate the measurement for different values of input and reference frequencies.

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Section: mentioning

confidence: 99%

Fourier-type integral transforms in modeling of transversal oscillation

Yaremko

Tyapin

2014

Int J App Math Elt Comp

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“…[16], [17], Najda L.S. [11], Protsenko V. S [12], [13], Lenjuk M. P [8], [9], [10]. The vector variant of a method adapted for the solution of problems in piece-wise homogeneous medium is developed by the author in [2], [19].…”

Section: Introductionmentioning

confidence: 99%

Matrix Fourier transform in dynamic theory of elasticity of piecewise homogeneous medium

Yaremko.,

Mogileva

2013

Preprint

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The analytical solving dynamic problems of elasticity theory for piecewise homogeneous half-space is found. The explicit construction of direct and inverse Fourier's vector transform with discontinuous coefficients is presented. The technique of applying Fourier's vector transform with discontinuous coefficients for solving problems of mathematical physics in the heterogeneous environments is developed on an example of the dynamic problems of the elasticity theory.

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Similarity Approach to Hertz Type Contact Problems

Galanov

2009

Iutam Bookseries

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Certain hybrid integral transforms and their application in the theory of elasticity of heterogeneous media

Cited by 4 publications

References 1 publication

Fourier-type integral transforms in modeling of transversal oscillation

Fourier-type integral transforms in modeling of transversal oscillation

Matrix Fourier transform in dynamic theory of elasticity of piecewise homogeneous medium

Similarity Approach to Hertz Type Contact Problems

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