Identification of the Elastic Characteristics of a Composite Material Based on the Results of Tests for the Stability of Panels Made from It

Kayumov, R.A.; Tazyukov, B.F.; Muhamedova, I.Z.; Shakirzyanov, Farid

doi:10.26907/2541-7746.2019.1.75-85

Cited by 2 publications

(1 citation statement)

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“…The methodology for solving the direct problem is based on the principle of superposition, in which displacements and contact stresses are related by means of integral operator with respect to the spatial variable and time [1]- [23]. Its core is influence function for the elastic bar.…”

Section: Introductionmentioning

confidence: 99%

The inverse transient problem of identifying the law of change in the cross-sectional area of an elastic bar

Fedotenkov¹,

Starovoitov²,

Vahterova³

2021

9th Edition of the International Conference on Computational Methods for Coupled Problems in Science and Engineering

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The main goal of investigations is to obtain solutions for new inverse transient problems of elastic bars. The research objective is to develop and realize new methods, approaches and algorithms for solving inverse transient problems of bar mechanics. The direct transient task for elastic bar consists in determining elastic displacements, which satisfies a given equation of transient oscillations in partial derivatives and some given initial and boundary conditions. The solution of inverse problem with a completely unknown space-time law of load distribution is based on the method of influence functions. With its application the inverse problem is reduced to solving a system of integral equations of the Volterra type of the first kind in time with respect to the sought external axial load of the elastic bar. To solve it, the method of mechanical quadratures is used in combination with the Tikhonov regularization method.

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Section: Introductionmentioning

confidence: 99%