The inverse problem, concerning the reconstruction of the three following inhomogeneous properties of a bar is considered: Young modulus, shear modulus and density using amplitude-frequency characteristics of steady-state longitudinal, bending and torsion vibrations of the bar. To identify unknown properties of the material, iteration processes based on the apparatus of Fredholm integral equations of the first and the second kinds are constructed. Some aspects of numerical implementation and the results of numerical experiments are discussed.
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