RESEARCH OF POLYNOMIAL APPROXIMATION OF FORCES IN ROD ELEMENTS OF CORRODING STRUCTURES
DOI:
https://doi.org/10.34185/1562-9945-5-142-2022-10Keywords:
corrosion process, correction functions method, systems of differential equations, polynomi-al approximationAbstract
The paper considers the problem of polynomial approximation of the "force - time" depend-encies in the elements of corroding hinged-rod structures from the point of view of the in-fluence 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, illus-trating for various constructions the dependence of the error in solving the problem on the degree of approximating polynomials.
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