Abstract
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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