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On a progressive simultaneous iteration method for vibration analysis of gyroscopic systems
Author(s) -
Gupta K. K.,
Lawson C. L.
Publication year - 2001
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.180
Subject(s) - discretization , computation , finite element method , vibration , iterative method , gyroscope , mathematics , spinning , computer science , algorithm , mathematical optimization , structural engineering , mathematical analysis , engineering , mechanical engineering , acoustics , physics , aerospace engineering
This paper presents details of an eigenproblem solution procedure for the efficient and accurate free vibration analysis of gyroscopic systems such as spinning structures. The procedure enables computation of the first few roots and vectors without having to compute any other. While structural discretization is achieved by the standard finite element method, eigenproblem solution of the resulting equations is effected by a newly developed progressive simultaneous iterative (PSI) method. Numerical solution of relevant example problems re presented which are compared to those obtained by ther existing analysis techniques, testifying to substantial gains in the efficacy of the newly developed solution algorithm. Copyright © 2001 John Wiley & Sons, Ltd.