Increase in solution stability of ill-conditioned dynamics problems

Abstract

The difficulties of design determination of the quantitative characteristics of weight, elasticity, damping, critical frequencies of fast-revolving rotors are demonstrated. It is suggested to use two approaches in order to obtain accurate and stable solutions of ill-conditioned reverse problems of rotor dynamics. The first one concerns the reduction of design model size. It is shown that relatively uncomplicated design rotor models are used as they were considered the most effective and stable, and match the selected design scheme and parameter values (hardness, weights, deflections, etc.) obtained as a result of experiments or calculations. The second approach deals with statistical method of the increase of solution stability. Its efficiency was shown while identifying rotor eccentricity by the example of five-mass rotor model.