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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2014, Volume 55, Issue 3, Pages 146–153
(Mi pmtf1069)
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This article is cited in 6 scientific papers (total in 6 papers)
Reconstruction of inhomogeneous characteristics of a transverse inhomogeneous layer in antiplane vibrations
A. O. Vatulyana, P. S. Uglichb a South Federal University, Rostov-on-Don, 344006, Russia
b South Mathematical Institute of the Vladikavkaz Scientific Center, Russian Academy of Sciences, Vladikavkaz, 362027, Russia
Abstract:
Direct and inverse problems of forced antiplane vibrations of a transverse inhomogeneous elastic layer are considered. The mechanical characteristics of the layer (density and shear modulus) are considered to be functions of the transverse coordinate. A method for solving the direct problem, based on using the integral Fourier transform and solving the boundary problem by the shooting method, is proposed. The inverse problem of determining the distributions of the mechanical parameters based on the known information on the wave field on some part of the upper surface is considered. Iterative sequences of integral equations are constructed. Results of numerical experiments and recommendations on the optimal choice of the vibration frequency and the interval, on which the displacements are determined, are given.
Keywords:
inverse coefficient problem, layered structures.
Received: 11.01.2013 Revised: 20.05.2013
Citation:
A. O. Vatulyan, P. S. Uglich, “Reconstruction of inhomogeneous characteristics of a transverse inhomogeneous layer in antiplane vibrations”, Prikl. Mekh. Tekh. Fiz., 55:3 (2014), 146–153; J. Appl. Mech. Tech. Phys., 55:3 (2014), 499–505
Linking options:
https://www.mathnet.ru/eng/pmtf1069 https://www.mathnet.ru/eng/pmtf/v55/i3/p146
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