An eigen-force method for finite element analysis and reanalysis

International Journal for Numerical Methods in Engineering

Volumn 40, Issue 5, 1997, Pages 777-796

  Koh, C G ^a   Ang, K K ^a   Xu, R ^a,b  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

^b P and T Consultants Pt Ltd   (Singapore)

Author keywords

Eigenvalue; Finite element method; Force method; Optimization; Reanalysis; Structural variation

Indexed keywords

BOUNDARY VALUE PROBLEMS; COMPUTATIONAL COMPLEXITY; COMPUTER SOFTWARE; EIGENVALUES AND EIGENFUNCTIONS; GEOMETRY; NUMERICAL ANALYSIS; OPTIMIZATION; STIFFNESS MATRIX; TOPOLOGY;

ACCURACY; COMPUTATIONAL EFFICIENCY; EIGEN FORCE METHOD; REANALYSIS; STRUCTURAL VARIATION;

FINITE ELEMENT METHOD;

EID: 0031103983     PISSN: 00295981     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0207(19970315)40:5<777::AID-NME88>3.0.CO;2-8     Document Type: Article

References (9)

1. K. I. Majid and D. W. C. Elliott, 'Forces and deflexions in changing structures', The Struct. Eng., 51, 93-101 (1973).
2. K. I. Majid, M. P. Saka and T. Celik, 'The theorems of structural variation generalized for rigidly jointed frames', Proc. Inst. Civil Engrs. Part 2, 65, 839-856 (1978).
3. K. I. Majid and T. Celik, 'The elastic-plastic analysis of frame by the theorem of structural variation', Int. j. numer. method eng., 21, 671-681 (1985).
4. J. R. Batt and S. Gellin, 'Rapid reanalysis by the force method', Comput. Methods Appl. Mech. Eng., 53, 105-117 (1985).
5. T. Y. Rong, 'General theorems of topological variation of elastic structures and the method of topological variation', Acta Mechanica Solida Sinica, 1, 29-43 (in Chinese) (1985).
6. H. Z. Lin and A. Der Kiureghian, 'A topology variational method for reliability analysis of structural system', Proc. 5th Int. Conf. on Structural Safety and Reliability, San Francisco, CA, Ed. A. H.-S. Ang, M. Shinozuka and G. I. Schueller, ASCE, N.Y., 1990, pp. 831-838.
7. G. Strang, Linear Algebra and its Applications, Jovanovich Publishers, Harcourt, Brace, San Diego, 1988.
8. R. Xu, 'An eigen-force method for analysis of planar structures', M. Eng. Thesis, Department of civil engineering, National University of Singapore, Singapore, 1993.
9. L. Jacob, Plasticity Theory, Macmillan Publishing Company, New York, 1990.