Structural vibration analysis by a progressive simultaneous iteration method

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 455, Issue 1989, 1999, Pages 3415-3423

  Gupta, K K ^a   Lawson, C L ^a  

^a NASA DRYDEN FLIGHT RESEARCH CENTER   (United States)

Author keywords

Eigenvalue problem; Finite element method; Lanczos method; Mass orthonormalization; Progressive simultaneous iteration; Structural vibrations

Indexed keywords

EID: 33746394142     PISSN: 13645021     EISSN: None     Source Type: Journal    
DOI: 10.1098/rspa.1999.0458     Document Type: Article

References (6)

1. Bathe, K. J. & Wilson, E. L. 1973 Solution methods for eigenvalue problems in structural mechanics. Int. J. Numer. Meth. Engng 6, 213-226.
2. Gupta, K. K. 1997 STARS-an integrated, multidisciplinary, finite-element, structural, fluids, aeroelastic, and aeroservoelastic analysis computer program. NASA TM 4795, May 1997.
3. Gupta, K. K. & Lawson, C. L. 1988 Development of a block Lanczos algorithm for free vibration analysis of spinning structures. Int. J. Numer. Meth. Engng 26, 1029-1037.
4. Jennings, A. & Orr, D. R. L. 1971 Application of the simultaneous iteration method to undamped vibration problems. Int. J. Numer. Meth. Engng 3, 13-24.
5. Jensen, P. S. 1972 The solution of large symmetric eigenproblems by sectioning. SIAM J. Numer. Analysis 9, 534-545.
6. Parlett, B. N. & Scott, D. S. 1979 The Lanczos algorithm with selective orthogonalization. Math. Comp. 33, 217-338.