PERTURBATION TRANSFER MATRIX METHOD FOR EIGENDATA OF ONE－DIMENSIONAL STRUCTURAL SYSTEM WITH PARAMETER UNCERTAINTIES

A general method based on Riccati transfer matrix is presented to calculate the2 nd order perturbations of eigendatas for one-dimensional structural system with parameteruncertainties. The method is applicable to both real and complex eigendatas of any one-dimensional structural system. The formulas for calculating the sensitivity derivatives ofeigendatas based on this method are also presented. The method is applied to theperturbation analysis for the eigendatas of a rotor with gyroscopic moment, and thedifferences between the perturbation results and the accurate calculating results are small.