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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2001 Volume 275, Pages 105–131 (Mi znsl1396)

The matrix of the transforming of vibration waves

D. P. Kouzova, G. L. Nikitinb, V. G. Yakovlevac

a State Marine Technical University of St. Petersburg
b Military Technical University
c Chuvash State University

Abstract: Scattering of the linear vibration waves on a nodal junction of elastic plates is considered. For description of transforming (transmission, reflection, refraction and transformation into other types) of such waves we use the transformation matrix. We have proved for this matrix some usual properties related with the reciprocity principle and with conservation of energy. In the case when a source of field is evanescent wave we have found a new property of the generalized scattering matrix. This property reflects the conservation of energy at such process.

UDC: 534.1+534.26

Received: 03.12.1999


 English version:
Journal of Mathematical Sciences (New York), 2003, 117:2, 3948–3962

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© Steklov Math. Inst. of RAS, 2025