ACOUSTIC SCATTERING ON AN ELASTIC PLATE DESCRIBED BY THE TIMOSHENKO MODEL - CONTACT CONDITIONS AND UNIQUENESS OF THE SOLUTION

Authors
ANDRONOV IV BELINSKIY BP
Citation
Iv. Andronov et Bp. Belinskiy, ACOUSTIC SCATTERING ON AN ELASTIC PLATE DESCRIBED BY THE TIMOSHENKO MODEL - CONTACT CONDITIONS AND UNIQUENESS OF THE SOLUTION, The Journal of the Acoustical Society of America, 103(2), 1998, pp. 673-682
Citations number
22
Categorie Soggetti
Acoustics
Journal title
The Journal of the Acoustical Society of America → ACNP
ISSN journal
00014966
Volume
103
Issue
2
Year of publication
1998
Pages
673 - 682
Database
ISI
SICI code
0001-4966(1998)103:2<673:ASOAEP>2.0.ZU;2-O
Abstract
It is shown that the known solution of the acoustic scattering problem on a supported elastic plate, described by the Timoshenko model, shou ld be corrected. The general formulation of the contact conditions tha t imply the reciprocity principle is given. Sommerfeld's formula and t he ''optical'' theorem for the model are formulated. They lead to the uniqueness of the solution. The numerical comparison of the effective cross section of scattering from supported elastic plate described by the Kirchhoff and by the Timoshenko models is presented. (C) 1998 Acou stical Society of America. [S0001-4966(98)04201-5].