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Benchmark study of three approaches to propagation of harmonic waves in randomly heterogeneous elastic media. / Belyaev, A.K.

IUTAM Symposium on the Vibration Analysis of Structures with Uncertainties. Springer Nature, 2010.

Research output: Chapter in Book/Report/Conference proceeding › Article in an anthology

Harvard

Belyaev, AK 2010, Benchmark study of three approaches to propagation of harmonic waves in randomly heterogeneous elastic media. in IUTAM Symposium on the Vibration Analysis of Structures with Uncertainties. Springer Nature.

APA

Belyaev, A. K. (2010). Benchmark study of three approaches to propagation of harmonic waves in randomly heterogeneous elastic media. In IUTAM Symposium on the Vibration Analysis of Structures with Uncertainties Springer Nature.

Vancouver

Belyaev AK. Benchmark study of three approaches to propagation of harmonic waves in randomly heterogeneous elastic media. In IUTAM Symposium on the Vibration Analysis of Structures with Uncertainties. Springer Nature. 2010

Author

Belyaev, A.K. / Benchmark study of three approaches to propagation of harmonic waves in randomly heterogeneous elastic media. IUTAM Symposium on the Vibration Analysis of Structures with Uncertainties. Springer Nature, 2010.

BibTeX

@inbook{8e3936be3b524eb880ca99430c121d19,
title = "Benchmark study of three approaches to propagation of harmonic waves in randomly heterogeneous elastic media",
abstract = "Three approaches to the problem of 1-D wave propagation in media with random elastic and mass properties are studied: (i) method of integral spectral decomposition, (ii) Fokker-Planck-Kolmogorov equation and (iii) the Dyson integral equation. Merits and shortcomings of each approach are discussed. It is shown that the approaches cover actually all possible problems of the harmonic wave propagation in heterogeneous or stochastic media, hence, by means of a preliminary analysis of a particular problem and bearing in mind the strong and weak sides of each approach, one can choose an appropriate solution strategy.",
author = "A.K Belyaev",
year = "2010",
language = "English",
booktitle = "IUTAM Symposium on the Vibration Analysis of Structures with Uncertainties",
publisher = "Springer Nature",
address = "Germany",

}

RIS

TY - CHAP

T1 - Benchmark study of three approaches to propagation of harmonic waves in randomly heterogeneous elastic media

AU - Belyaev, A.K

PY - 2010

Y1 - 2010

N2 - Three approaches to the problem of 1-D wave propagation in media with random elastic and mass properties are studied: (i) method of integral spectral decomposition, (ii) Fokker-Planck-Kolmogorov equation and (iii) the Dyson integral equation. Merits and shortcomings of each approach are discussed. It is shown that the approaches cover actually all possible problems of the harmonic wave propagation in heterogeneous or stochastic media, hence, by means of a preliminary analysis of a particular problem and bearing in mind the strong and weak sides of each approach, one can choose an appropriate solution strategy.

AB - Three approaches to the problem of 1-D wave propagation in media with random elastic and mass properties are studied: (i) method of integral spectral decomposition, (ii) Fokker-Planck-Kolmogorov equation and (iii) the Dyson integral equation. Merits and shortcomings of each approach are discussed. It is shown that the approaches cover actually all possible problems of the harmonic wave propagation in heterogeneous or stochastic media, hence, by means of a preliminary analysis of a particular problem and bearing in mind the strong and weak sides of each approach, one can choose an appropriate solution strategy.

M3 - Article in an anthology

BT - IUTAM Symposium on the Vibration Analysis of Structures with Uncertainties

PB - Springer Nature

ER -

ID: 4731114