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Title Statistical Methods for Providing the Stability of the Solutions of Inverse Problems and Their Application to Decrease Rotor Vibroactivity
 
Names Goroshko, Andrii
Royzman, Vilen
Date Issued 2015 (iso8601)
Abstract Many machine design problems relate to the class of inverse problems, whose solution is
reduced to the solution of systems of linear algebraic equations. The relation between the matrix con
ditionality number of such systems and solution errors is shown in this article. The application of the
least square method to improve the accuracy of solutions is justified. A method for providing the sta
bility of solutions of systems of linear algebraic equations based on the use of additional information
by increasing the number of measurements of initial parameters is proposed. The approach and statis
tical algorithm for achieving a given accuracy of the solution of poorly specified systems of linear alge
braic equations are developed. The results of using the offered methods for the identification of eccen
tricities and elastic inertial parameters in the problem of decreasing the vibroactivity of the rotor of tur
bine pump are given.
Genre Стаття
Topic Statistical Methods
Identifier Goroshko A. V. Statistical Methods for Providing the Stability of the Solutions of Inverse Problems and Their Application to Decrease Rotor Vibroactivity / A. V. Goroshko, V. P. Roizman // Journal of Machinery Manufacture and Reliability. – 2015. – Vol. 44, № 3. – P. 232–238.