Application of Bio-Inspired Global Optimization Algorithms in the Problem of Selecting Coefficients for a Model of Fatigue Degradation of the Stiffness of a Composite Material

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Abstract

The problem of finding the fatigue characteristics of a material based on the test results of a composite material is considered. The initial data are the properties of the material, load parameters and the tabulated dependence of the elastic modulus on the number of tests performed. A differential mathematical model has been formed that describes the change in the elastic modulus with increasing number of loading cycles. Its parameters are found by approximating the rate of change of the elastic modulus using numerical differentiation formulas of various orders and solving the parametric identification problem. The model coefficients are determined by using a method that simulates the behavior of a swarm of moths, related to bio–inspired global optimization algorithms. A solution to the problem for a specific composite material is given.

General Information

Keywords: composite material, stiffness degradation model, bio–inspired algorithm, methods of numerical differentiation and integration

Journal rubric: Optimization Methods

Article type: scientific article

DOI: https://doi.org/10.17759/mda.2024140107

Received: 20.02.2024

Accepted:

For citation: Panteleev A.V., Turbin N.V., Nadorov I.S. Application of Bio-Inspired Global Optimization Algorithms in the Problem of Selecting Coefficients for a Model of Fatigue Degradation of the Stiffness of a Composite Material. Modelirovanie i analiz dannikh = Modelling and Data Analysis, 2024. Vol. 14, no. 1, pp. 103–120. DOI: 10.17759/mda.2024140107. (In Russ., аbstr. in Engl.)

References

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Information About the Authors

Andrey V. Panteleev, Doctor of Physics and Matematics, Professor, Head of the Department of Mathematical Cybernetics, Institute of Information Technologies and Applied Mathematics, Moscow Aviation Institute (National Research University), Moscow, Russia, ORCID: https://orcid.org/0000-0003-2493-3617, e-mail: avpanteleev@inbox.ru

Nikolay V. Turbin, Leading engineer of the Institute "Aviation Engineering", Moscow Aviation Institute (National Research University), Moscow, Russia, ORCID: https://orcid.org/0000-0001-8887-4586, e-mail: nikturbin@gmail.com

Ivan S. Nadorov, Bachelor's Degree Student of the Institute "Computer Science and Applied Mathematics", Moscow Aviation Institute (National Research University), Moscow, Russia, ORCID: https://orcid.org/0009-0008-2085-2987, e-mail: nnadorovivan@gmail.com

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