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This article is cited in 1 scientific paper (total in 1 paper)
Identification of the elastic characteristics of a composite material based on the results of tests for the stability of panels made from it
R. A. Kayumovab, B. F. Tazyukovc, I. Z. Muhamedovaa, F. R. Shakirzyanova a Kazan State University of Architecture
and Engineering, Kazan, 420043 Russia
b A.N. Tupolev Kazan National Research Technical University, Kazan, 420111 Russia
c Kazan Federal University, Kazan, 420008 Russia
Abstract:
The problem of identifying the mechanical characteristics of a
fibrous composite material (FCM), from which cylindrical panels or
pre-curved plates are made by superposition at an angle to the edge,
has been considered. The problem has been solved using the analysis
of the results of the tests of structures with bringing them to the
loss of bearing capacity due to loss of stability.
The advantage of the proposed approach is no necessity to measure
the deformation or movement of these structural elements during
experiments (this does not require the presence of complex measuring
devices, their calibration, long-term debugging of the
experimental techniques). Only the critical values of the load,
which can be tested in a short period of time, must be determined.
In addition, such tests are not destructive under loading, which
enables the repeated use of the sample under different types of load
and conditions of fixing. The identification technique is based on
minimizing the quadratic discrepancy between the results of solving
direct problems of stability and the results of experiments. By
introducing the discrepancy of possible errors in experimental data
measurement, an extended formulation of the problem has been
obtained. Numerical solutions of the model problems show that
the solution of the problem is stable to variations of the original
data. The proposed approach allows to obtain the calculated
mechanical characteristics of the composite material close to true
even in the case of a considerable variation in the stiffness
characteristics of the composite material from sample to sample and
errors in determining the critical load.
Keywords:
fiber composite, identification method, minimization, stability, critical load, stiffness characteristics, numerical experiment.
Received: 28.11.2018
Citation:
R. A. Kayumov, B. F. Tazyukov, I. Z. Muhamedova, F. R. Shakirzyanov, “Identification of the elastic characteristics of a composite material based on the results of tests for the stability of panels made from it”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 161, no. 1, Kazan University, Kazan, 2019, 75–85
Linking options:
https://www.mathnet.ru/eng/uzku1503 https://www.mathnet.ru/eng/uzku/v161/i1/p75
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