Subspace iteration method for the eigensolution of large undamped gyroscopic systems

• Type: Article in International Scientific Journal
• Date: 1989

Authors

Rodrigues, José F.D. (Author) FEUP; Gmuer, Thomas E.C. (Author) Other

Journal

Title: International Journal for Numerical Methods in Engineering

Vol. 28 No. 3

Pages: 511-522

ISSN: 0029-5981

Publisher: Wiley-Blackwell

Indexing

Scopus

Scientific classification

FOS: Engineering and technology > Mechanical engineering

Other information

Abstract (EN): This paper presents an efficient and numerically stable algorithm for computing accurately the eigenvalues of smallest moduli and the associated eigenvectors of the quadratic eigenproblem which arises in the analysis of spinning systems. Derived from the well-known standard subspace iteration method, this solution procedure takes full advantage of the banded configuration of the structural matrices, and of the specific nature of gyroscopic systems. A numerical example is presented to show the efficiency and accuracy of the algorithm.

Language: Portuguese

Type (Professor's evaluation): Scientific