A fast iterative algorithm for eigenvalue determination

Computers and Structures

Volumn 63, Issue 4, 1997, Pages 749-758

  West, R P ^a   Pavlovic M N ^b  

^a TRINITY COLLEGE DUBLIN   (Ireland)

^b IMPERIAL COLLEGE LONDON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

BEAMS AND GIRDERS; CALCULATIONS; EIGENVALUES AND EIGENFUNCTIONS; ELASTIC MODULI; FOUNDATIONS; ITERATIVE METHODS; MATRIX ALGEBRA; NATURAL FREQUENCIES; STIFFNESS; VIBRATIONS (MECHANICAL);

DYNAMIC EQUILIBRIUM EQUATION; EIGENVALUE DETECTION;

ALGORITHMS;

EID: 0031139275     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7949(96)00072-7     Document Type: Article

References (7)

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2. A. S. Householder, The approximate solution to matrix problems. J. Ass. Comput. Mech. 5, 205-243 (1956).
3. M. N. Pavlović and R. P. West, Modal clustering in the vibration of partially and fully embedded steel piles. J. Construct. Steel Res. 11, 57-67 (1988).
4. G. B. Warburton, The Dynamical Behaviour of Structures, 2nd Edn. Pergamon Press, Oxford (1976).
5. R. P. West, Modal clustering in the vibration of beams partially embedded in a Winkler foundation. PhD. thesis, Trinity College, Dublin (1991).
6. W. H. Wittrick and F. W. Williams, A general algorithm for computing natural frequencies of elastic structures. Quart. J. Mech. appl. Math. 24, 264-284 (1971).
7. A. Simpson, A Newtonian procedure for the solution of Sx = 0. J. Sound Vibr. 97, 153-164 (1984).