On a progressive simultaneous iteration method for vibration analysis of gyroscopic systems

This paper presents details of an eigenproblem solution procedure for the e cient and accurate free vibration analysis of gyroscopic systems such as spinning structures. The procedure enables computation of the rst few roots and vectors without having to compute any other. While structural discretization is achieved by the standard nite element method, eigenproblem solution of the resulting equations is e ected by a newly developed progressive simultaneous iterative (PSI) method. Numerical solution of relevant example problems are presented which are compared to those obtained by other existing analysis techniques, testifying to substantial gains in the e cacy of the newly developed solution algorithm