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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 1999 Volume 253, Pages 12–136 (Mi znsl882)

This article is cited in 2 papers

The development of engineering approaches to the study of interference wave fields excited in packets of thin elastic layers. (I). (the construction of wave fields of the SV type and the discussion of rational methods of quantitative evaluation of them.)

G. I. Petrashen, V. V. Reshetnikov

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences

Abstract: The methods of the quantitative study of interference wave fields in thin-layered elastic media are developed. The problems for the simplest thin-layered media are formulated, exact mathematical solutions of them are given in the Fourier type. The methods of the quantitative estimation of the wave fields in the sufficiently low-frequency band of their spectrum are discussed. The problems of the quantitative studing the roots of dispersion equations and the numerical integration in the complex plane are considered in detail.

UDC: 550.834

Received: 12.03.1998


 English version:
Journal of Mathematical Sciences (New York), 2001, 105:3, 1931–2014

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