Implementation of a Block Lanczos Algorithm for Eigenproblem Solution of Gyroscopic Systems

Gupta, Kajal K. and Lawson, Charles L. (1987) Implementation of a Block Lanczos Algorithm for Eigenproblem Solution of Gyroscopic Systems. Technical Report NASA TM-88290, Research Engineering, NASA Dryden Flight Research Center.

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Abstract

This paper describes the details of implementation of a general numerical procedure developed for the accurate and economical computation of natural frequencies and associated modes of any elastic structure rotating along an arbitrary axis. A block version of the Lanczos algorithm is derived for the solution that fully exploits associated matrix sparsity and employs only real numbers in all relevant computations. It is also capable of determining multiple roots and proves to be most efficient when compared to other, similar existing techniques.

EPrint Type:	NASA Technical Memorandum
Keywords:	Block Lanczos algorithm, Eigenvalue problem, Finite elements, Spinning structures, Structural dynamics
Subjects:	(31 - 39) Engineering: (39) Structural Mechanics
ID Code:	514
Deposited On:	23 January 2006
Additional Information:	9 pages. Prepared as AIAA Paper 87-0946-CP to be presented at the AIAA Dynamics Specialty Conference, Monterey, California, April 9, 1987.