Iterative method for dynamic condensation of structural matrices

Mechanical Systems and Signal Processing

Volumn 14, Issue 4, 2000, Pages 667-678

  Qu, Zu Qing ^a   Fu, Zhi Fang ^a  

^a SHANGHAI JIAO TONG UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; FINITE ELEMENT METHOD; ITERATIVE METHODS; MATHEMATICAL MODELS; MATRIX ALGEBRA; THEOREM PROVING;

DYNAMIC CONDENSATION TECHNIQUES; STRUCTURAL MATRICES;

DYNAMICS;

EID: 0034216190     PISSN: 08883270     EISSN: None     Source Type: Journal    
DOI: 10.1006/mssp.1998.1302     Document Type: Article

References (15)

1. R. J. GUYAN 1965 AIAA Journal 3, 380. Reduction of stiffness and mass matrices.
2. B. IRONS 1965 AIAA Journal 3, 961-962. Structural eigenvalue problems - elimination of unwanted variables.
3. C. A. MILLER 1980 ASCE Journal of the Structural Division 106, 2097-2108. Dynamic reduction of structural models.
4. J. C. O'CALLAHAN 1989 Proceedings of the 7th International Modal Analysis Conference, Las Vegas, 17-21. A procedure for an improved reduced system (IRS) model.
5. L. E. SUAREZ and M. P. SINGH 1992 AIAA Journal 30, 1046-1054. Dynamic condensation method for structural eigenvalue analysis.
6. M. I. FRISWELL, S. D. GARVEY and J. E. T. PENNY 1995 Journal of Sound and Vibration 186, 311-323. Model reduction using dynamic and iterated IRS techniques.
7. M. I. FRISWELL, S. D. GARVEY and J. E. T. PENNY 1997 Proceedings of the 15th International Modal Analysis Conference, Orlando, Florida, 1537-1543. Using iterative IRS model reduction techniques to calculate eigensolutions.
8. Z.-Q. QU and Z.-F. FU 1998 Journal of Shanghai Jiao Tong University (English Edition) 3, 83-88. An iterative method for the dynamic condensation of finite element models, Part I: Basic method.
9. J. N. RAMSDEN and J. R. STOKER 1969 International Journal for Numerical Methods in Engineering 1, 333-349. Mass condensation - a semi-automatic method for reducing the size of vibration problems.
10. B. DOWNS 1980 Journal of Mechanical Design 102, 412-416. Accurate reduction of stiffness and mass matrices for vibration analysis and a rationale for selecting master degrees of freedom.
11. V. N. SHAH and M. RAYMOND 1982 International Journal for Numerical Methods in Engineering 1, 89-98. Analytical selection of masters for the reduced eigenvalue problem.
12. K. W. MATTA 1987 Journal of Pressure Vessel Technology 1, 65-69. Selection of degrees of freedom for dynamic analysis.
13. D. OH and Y. PARK 1994 Mechanical Systems and Signal Processing 8, 63-79. Order reduction based on singular values of a modal matrix.
14. B. J. BATHE 1987 Finite Element Procedures in Engineering Analysis. Englewood Cliffs, NJ: Prentice-Hall.
15. Y. QIAN and G. DHATT 1995 Computers and Structures 54, 1127-1134. An accelerated subspace method for generalized eigenproblems.