Menshikov Y.

Problem of identification of rotor unbalance [1,2] in minimax statement can give the answer to a question: rotor unbalance of the machine probably exists? Such statement of inverse problem gives earlier diagnostics of unbalance, however, without of a guarantee, that it really exists. This problem can not be solved on principle in classical statement [3]. The motion of rotors is described by system of ordinary differential equations of 18th order [4]. The rotor unbalance is modeling by some external load. The value of this load and the place of its action is it necessary to find. Tikhonov regularization method is applied for solution of this ill-posed problem taking into consideration the error of mathematical model [3]. The suggested algorithm of unbalance evaluation uses the experimental data about accelerations of rotor supports in two mutually perpendicular directions during a few rotor rotations as the initial information. This algorithm doesn't demand the special conditions of work or installation of test plummets. The numerical calculations of examples are given to illustrate these algorithms. The method can be adapted to those cases when measuring velocity or displacement of supports. References 1. Yu.L.Menshikov, The Inverse Problem in Minimax Statement. – Proc. of IMACS 2000, August 21-25 2000, Lausanne, Switzeland, 2000, S.128-4, 5p. 2. Yu.L.Menshikov, N.V.Polyakov. The new statement of problem of unbalance identification. Proc. of ICTAM 2004, August 15-21, Warsaw, Poland, 2004, 4p. 3. A.N.Tikhonov, V.Y.Arsenin, The methods of solution of the incorrectly formulated problems, Moscow, 1979. 4. Yu.L.Menshikov, Recognition of rotor machines unbalance, J. Differential equations and their applications in Physics. Univ. of Dnepropetrovsk, Ukraine, 1988, pp.44-46.