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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2009, Volume 50, Issue 5, Pages 143–151
(Mi pmtf1801)
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Direct and inverse problems of oscillations of an elastoliquid layered medium
P. S. Uglich South Federal University, Rostov-on-Don, 344006, Russia
Abstract:
A plane problem of forced oscillations of an ideal compressible liquid bounded from above by an elastic layer with a rough lower surface and an inverse geometric problem of determining the shape of the rough lower surface of an elastic layer from the wave characteristics on the upper surface are considered. Three methods are used to solve the direct problem: the small parameter method, the boundary element method, and the Born approximation. Solving the inverse problem is reduced to solving the integral Fredholm equation of the first kind. Results of a numerical experiment are presented.
Keywords:
elasticity theory, acoustics, boundary element method, inverse problems, ill-posed problems.
Received: 06.10.2008
Citation:
P. S. Uglich, “Direct and inverse problems of oscillations of an elastoliquid layered medium”, Prikl. Mekh. Tekh. Fiz., 50:5 (2009), 143–151; J. Appl. Mech. Tech. Phys., 50:5 (2009), 850–857
Linking options:
https://www.mathnet.ru/eng/pmtf1801 https://www.mathnet.ru/eng/pmtf/v50/i5/p143
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Abstract page: | 19 | Full-text PDF : | 6 |
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