Systems and Means of Informatics

2025, Volume 35, Issue 4, pp pp 73-91

METAHEURISTIC OPTIMIZATION ALGORITHMS OF PARAMETRIC IDENTIFICATION OF A THREE-DIMENSIONAL MODEL FOR REDUCING THE FATIGUE STIFFNESS OF COMPOSITE MATERIALS

  • A. V. Panteleev
  • N. V. Turbin
  • I. S. Nadorov
  • N. O. Kononov

Abstract

The article explores the application of modern metaheuristic optimization algorithms to determine the parameters of new mathematical models describing experimental results. The subject of the study was the property of composite materials used in aircraft construction to lose fatigue stiffness during operation. For mathematical modeling of stiffness degradation, a system of three ordinary differential equations describing the characteristic stages of the process is proposed. To find the parameters of the right-hand sides of the equations, two constrained optimization problems are solved minimizing the deviations of the equation solutions from known composite material test results. The solutions to the equations are found using classical explicit numerical integration methods of varying orders of accuracy. For parametric identification, i. e., finding the values of the parameters of the right-hand sides of the differential equations based on test results, it is proposed to use metaheuristic optimization methods: a modified method simulating the behavior of a swarm of moths as well as a random search method with sequential reduction of the study area. Numerical results of the study of a specific composite material are presented illustrating the effectiveness of the proposed approach.

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