Yu. L. Menshikov, “Recognition of Rotor Machines Unbalance,” Differential Equations and Their Appendices in Physics. The Collection of the Proceedings, Dnepropetrovsk, 1988, pp. 44-56.
has been cited by the following article:
TITLE: Identification of Rotor Unbalance as Inverse Problem of Measurement
AUTHORS: Yuri Menshikov
KEYWORDS: Mathematical Model; Unbalance Identification; Solution Estimation; Regularization; Numerical Test
JOURNAL NAME: Advances in Pure Mathematics, Vol.3 No.9A, December 18, 2013
ABSTRACT: In this paper, the problem of identification of the characteristics of the rotor unbalance on two supports is investigated as the inverse problem of measurement. The vibration of rotor supports in two mutually perpendicular directions used as the initial information. The inverse problem is considered, taking into account the error of the mathematical description of rotor-bearings system. To obtain estimates of real unbalance characteristics, the hypothesis as to the exact solutions is applied. The method of Tikhonov regularization is used to obtain stable results. Test calculations are given to illustrate the proposed approach.