Revisiting Galerkin's method through global piecewise-smooth functions in Christides and Barr's cracked beam theory

Journal of Sound and Vibration

Volumn 263, Issue 4, 2003, Pages 937-944

  Messina, A ^a  

^a UNIVERSITY OF SALENTO   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

CRACK PROPAGATION; FUNCTIONS; GALERKIN METHODS; NONDESTRUCTIVE EXAMINATION; PARAMETER ESTIMATION;

MASS CHANGE;

BEAMS AND GIRDERS;

EID: 0038320314     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-460X(02)01471-2     Document Type: Article

References (10)

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3. S.W. Doebling, C.R. Farrar, M.B. Prime, A summary review of vibration-based damage identification methods, The Shock and Vibration Digest 30 (2) (1998) 91-105.
4. S. Christides, A.D.S. Barr, One-dimensional theory of cracked Bernoulli-Euler- beams, International Journal of Mechanical Sciences 26 (11/12) (1984) 639-648.
5. M.-H. Shen, C. Pierre, Natural modes of Bernoulli-Euler beams with symmetric cracks, Journal of Sound and Vibration 138 (1) (1990) 115-134.
6. L.V. Kantorovich, V.I. Krylov, Approximate Methods of Higher Analysis, Noordhoff, Groningen, The Netherlands, 1958.
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8. A. Messina, Free vibrations of multilayered plates based on a mixed variational approach in conjunction with global piecewise-smooth functions, Journal of Sound and Vibration 256 (1) (2002) 103-129.
9. A. Messina, A mixed variational approach and a novel C0-set of piecewise-smooth functions for an accurate two-dimensional plates theory, in: Proceedings of the Third International Conference on Identification in Engineering Systems, Swansea, Wales, UK, 2002.
10. A.D.S. Barr, An extension of the Hu-Washizu variational principle in linear elasticity for dynamic problems, Journal of Applied Mechanics 33 (1966) 465.