RECOVERY OF THE INITIAL PARAMETERS OF THE BEAM WITH THE GIVEN JUNIOR COEFFICIENTS OF THE DEFLECTION EQUATION

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.