USE OF POLYNOMIAL APPROXIMATION OF FORCES IN THE METHOD OF CORRECTION FUNCTIONS
DOI:
https://doi.org/10.34185/1991-7848.itmm.2023.01.036Keywords:
corrosion process, correction functions method, systems of differential equations, polynomial approximation.Abstract
The paper considers the problem of polynomial approximation of the "force - time" dependencies in the elements of corroding hinged-rod structures from the point of view of the influence of the degree of the polynomial on the error in calculating their durability. A method for determining the coefficients of approximating polynomials is proposed, which is based on the use of a numerical-analytical algorithm for solving a system of differential equations describing the corrosion process. The results of numerical experiments are presented, illustrating for various constructions the dependence of the error in solving the problem on the degree of approximating polynomials.
References
Zelentsov D.G., Denysiuk O.R., Korotka L.I. The Method of Correction Functions in Problems of Optimization of Corroding Structures. // Advances in Computer Science for Engineering and Education III (ICCSEEA 2020), 2020. – pp. 132 – 142.
Zelentsov D.G., Korotkaya L.I. Tehnologii vyichislitelnogo intellekta v zadachah modelirovaniya dinamicheskih sistem. Dnepr: Balans-Klub, 2018. – 178.
