Abstract
Studies of direct and inverse spectral problems in terms of free oscillations of a power installation are carried out. The effect of mass characteristics of the power installation on free-oscillation frequencies is studied by the solution of the direct problem, and the increase in mass is shown to result in a decreasing frequency of oscillations. For the first time, the inverse problem, viz., the diagnostics of mass characteristics of the power installation by known oscillation frequencies, is set and solved. An algorithm for determining the mass of the filler and gas of the power installation is formulated. The problem of holding the specified safe-frequency range of oscillations of the power installation is investigated. It is shown that certain changes in the mass characteristics of the installation are sufficient to hold the specified oscillation frequencies when changing the physical parameters.
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