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.
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