A frequency condensation method for the eigenvalue problem

Communications in Numerical Methods in Engineering

Volumn 14, Issue 1, 1998, Pages 1-8

  Mokeyev, Vladimir V ^a  

^a Aerospace Department   (Russian Federation)

Author keywords

Frequency condensation method; Guyan method; Large matrix systems

Indexed keywords

APPROXIMATION THEORY; COMPUTATIONAL METHODS; ITERATIVE METHODS; PROBLEM SOLVING; STIFFNESS MATRIX;

FREQUENCY CONDENSATION METHODS; GUYAN METHODS;

EIGENVALUES AND EIGENFUNCTIONS;

EID: 0031678522     PISSN: 10698299     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1099-0887(199801)14:1<1::AID-CNM123>3.0.CO;2-8     Document Type: Article

References (6)

1. K. J. Bathe and E. L. Wilson, Numerical Methods in Finite Element Analysis, Prentice-Hall, Englewood Cliffs, NJ, 1976.
2. B. N. Parlett, The Symmetric Eigenvalue Problem, Prentice-Hall, Englewood Cliffs, NJ, 1980.
3. B. M. Irons, 'Eigenvalue economisers in vibration problems', J. R. Aeronaut. Soc., 67, 526-528 (1963).
4. R. J. Gayan, 'Reduction of stiffness and mass matrices', AIAA J., 3, 380 (1965).
5. E. J. Kuhar and C. V. Stahle, 'Dynamic transformation method for modal synthesis', AIAA J., 5, 672-678 (1974).
6. V. V. Mokeyev, 'On the problem of finding the eigenvalues and eigenvectors of large matrix system, arising in use a finite element method', Comput. Math. Math. Phys., 32(4), 1652-1657 (1992).