Determination of the natural frequencies and mode shapes for large structures by accelerated Newton-Raphson method

Computers and Structures

Volumn 63, Issue 1, 1997, Pages 61-68

  Lee, In Won ^a   Kim, Man Cheol ^a   Robinson, A R ^a  

^a Korea Advanced Institute of Science and Technology (KAIST)   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL METHODS; CONVERGENCE OF NUMERICAL METHODS; EIGENVALUES AND EIGENFUNCTIONS; ITERATIVE METHODS; MODAL ANALYSIS; NATURAL FREQUENCIES;

DETERMINANT SEARCH METHOD; NEWTON-RAPHSON METHOD; SUBSPACE ITERATION METHOD;

STRUCTURAL ANALYSIS;

EID: 0031117020     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7949(97)90002-X     Document Type: Article

References (10)

1. L. Meirovitch 2nd edn. Computational Methods in Structural Dynamics 1980 Sijthoff and Noordhoff Gronigen, Holland
2. J.H. Wilkinson The Algebraic Eigenvalue Problem 1965 Oxford
3. K.J. Bathe 2nd edn. Finite Element Procedures in Engineering Analysis 1982 Prentice-Hall Englewood Cliffs, NJ
4. K.J. Bathe E.L. Wilson Solution methods for eigenvalue problems in structural mechanics Int. J. Numer. Meth. Engng 6 1973 213 226
5. K.J. Bathe E.L. Wilson Eigensolution of large structural systems with small bandwidth J. Engng Mech. Div. 99 1973 467 479
6. K.J. Bathe E.L. Wilson Large eigenvalue problems in dynamic analysis ASCE, J. Engng Mech. Div. 98 1972 1471 1485
7. K.J. Bathe S. Ramaswamy An accelerated subspace iteration method Computer Meth. Appl. Mech. Engng 23 1980 313 331
8. E.L. Wilson T. Itoh An eigensolution strategy for large systems Comput. Struct. 16 1983 259 265
9. I.W. Lee A.R. Robinson Solution techniques for large eigenvalue problems in structural dynamics 2nd edn. Structural Research Series no. 462 1979 University of Illinois IL
10. A.R. Robinson J.F. Harris Improving approximate eigenvalues and eigenvectors ASCE, J. Engng Mech. Div. 97 EM2 1971 457 475