Abstract
Mathematical modeling and experimental study of the inverse Cauchy problem of restoring the initial parameters of the elastic line of a beam element of a building structure for given minor coefficients of the beam deflection equation are considered. With a uniform continuous absolute norm of error for measuring deflections by interpolating with a Lagrange polynomial, the distribution of deflection meters over the beam is obtained, which minimizes the error in restoring the initial parameters by the criterion of minimum of the Lebesgue function.
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