STUDIES OF DIRECT AND INVERSE PROBLEMS FREE OSCILLATIONS OF THE ROTOR WITH DAMPER
The direct spectral task of determination of free oscillation frequencies of a rotor with the gyroscopic killer is considered. The frequency equation showing that oscillatory process is the four-frequency is received. According to the decision of the direct task the research of influence of physical parameters of a rotor with the killer on values of frequencies of its free oscillations is conducted. It is received that in case of increase in values of oscillation frequencies coefficients of rigidities of support of a rotor with the killer increase, and mass characteristics, on the contrary, – decrease. For the first time for the considered task the reverse spectral task – the task of restoration of parameters of a rotor with the killer on the known frequencies of its free oscillations is set and solved. The research is conducted on the example of diagnosing of coefficients of rigidities of support of a rotor with the killer. The question of existence of the decision of the task is raised. The theorem of uniqueness of the decision of the set reverse task is formulated and proved. The algorithm of the decision of the task allowing to recover coefficients of rigidities of support of a rotor with the killer on the known values of three frequencies of its oscillations is received. The algorithm is reduced to the solution of two systems of the non-linear equations of rather required coefficients of rigidities with the subsequent separation of the single common material decision of systems of equations. Examples of application of an algorithm of the decision of the reverse task are given. For direct and reverse tasks the program implementations of algorithms of decisions using commands of a mathematical packet are made.