A SIMPLE THEORY FOR THE ANALYSIS AND CORRECTION OF FREQUENCY SPLITTING IN SLIGHTLY IMPERFECT RINGS

The flexural radial vibration of circular rings with imperfections represented by small attached masses and springs is considered. The concept of an "equivalent imperfection mass" is introduced. This is used to quantify the frequency splitting which occurs in slightly imperfect axisymmetric bodies. The concept is used to estimate the trimming mass which must be added to or removed from the ring, and at which point, in order to reduce or eliminate the frequency split in a given pair of modes. The method can be applied to any axisymmetric body for which the mode shapes can be measured or computed. © 1990.