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Concerning one approach to the reconstruction of heterogeneous residual stress in plate
Author(s) -
Nedin R.,
Vatulyan A.
Publication year - 2014
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.201200195
Subject(s) - airy function , inverse problem , residual , inverse , mathematics , algebraic equation , iterative method , residual stress , homogeneous , vibration , mathematical optimization , mathematical analysis , algorithm , nonlinear system , geometry , physics , materials science , quantum mechanics , combinatorics , composite material
In present paper the inverse problem on the identification of three non‐homogeneous residual stress components in rectangular plate in steady‐state vibration regime is considered. The equation building the iterative process of solving the inverse problem is formulated. An approach to the reconstruction of residual stresses is described on the basis of introduction the Airy prestress function. The technique of leading the inverse problem to a system of linear algebraic equations at each iteration is proposed. Results of conducting a series of computational experiments on the reconstruction are depicted and discussed.