KFU. Card publication. Peculiarities of elastic wave refraction from the layer with fractal distribution of density

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FEDERAL UNIVERSITY

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PECULIARITIES OF ELASTIC WAVE REFRACTION FROM THE LAYER WITH FRACTAL DISTRIBUTION OF DENSITY

Form of presentation

Articles in international journals and collections

Year of publication

2014

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Authors, employees of KFU

Danilova Anastasiya Vadimovna, author

Igudesman Konstantin Borisovich, author

Tumakov Dmitriy Nikolaevich, author

Authors, postgraduates KFU

Anufrieva Anastasiya Vadimovna, postgraduate kfu

Bibliographic description in the original language

Anufrieva A.V., Igudesman K.B., Tumakov D.N. Peculiarities of elastic wave refraction from the layer with fractal distribution of density // Applied Mathematical Sciences. - 2014. - Vol. 8, No. 118. - P.5875-5886.

Annotation

In this study, we underline the peculiarities of the refraction problem of elastic waves from a layer with a fractal density distribution. The refraction problem is reduced to the system of ordinary differential equations with linear coefficients. Analytic solutions for each of its equations are found. The case for the layer with fractal density distribution is investigated numerically. Characteristic maxima of the reflected wave energy are outlined. Graphs illustrate the dependence of the reflected energy from self-similar properties of the fractal curve.

Keywords

refraction, elastic wave, fractal interpolation

The name of the journal

Applied Mathematical Sciences

URL

http://dx.doi.org/10.12988/ams.2014.464

Please use this ID to quote from or refer to the card

https://repository.kpfu.ru/eng/?p_id=85597&p_lang=2

Resource files

File name	Size (MB)	Format
igudesmanAMS117_120_2014.pdf	0,71	pdf	show / download

Full metadata record

Field DC	Value	Language
dc.contributor.author	Danilova Anastasiya Vadimovna	ru_RU
dc.contributor.author	Igudesman Konstantin Borisovich	ru_RU
dc.contributor.author	Tumakov Dmitriy Nikolaevich	ru_RU
dc.contributor.author	Anufrieva Anastasiya Vadimovna	ru_RU
dc.date.accessioned	2014-01-01T00:00:00Z	ru_RU
dc.date.available	2014-01-01T00:00:00Z	ru_RU
dc.date.issued	2014	ru_RU
dc.identifier.citation	Anufrieva A.V., Igudesman K.B., Tumakov D.N. Peculiarities of elastic wave refraction from the layer with fractal distribution of density // Applied Mathematical Sciences. - 2014. - Vol. 8, No. 118. - P.5875-5886.	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=85597&p_lang=2	ru_RU
dc.description.abstract	Applied Mathematical Sciences	ru_RU
dc.description.abstract	In this study, we underline the peculiarities of the refraction problem of elastic waves from a layer with a fractal density distribution. The refraction problem is reduced to the system of ordinary differential equations with linear coefficients. Analytic solutions for each of its equations are found. The case for the layer with fractal density distribution is investigated numerically. Characteristic maxima of the reflected wave energy are outlined. Graphs illustrate the dependence of the reflected energy from self-similar properties of the fractal curve.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	refraction	ru_RU
dc.subject	elastic wave	ru_RU
dc.subject	fractal interpolation	ru_RU
dc.title	Peculiarities of elastic wave refraction from the layer with fractal distribution of density	ru_RU
dc.type	Articles in international journals and collections	ru_RU