Identification of concentrated damages in euler-bernoulli beams under static loads

Journal of Engineering Mechanics

Volumn 133, Issue 8, 2007, Pages 942-956

  Buda, G ^a   Caddemi, S ^a  

^a UNIVERSITY OF CATANIA   (Italy)

Author keywords

Beams; Damage; Parameters; Static loads; Stiffness; Structural elements

Indexed keywords

CONCENTRATED DAMAGE; EULER-BERNOULLI BEAMS; STATIC LOAD;

BEAMS AND GIRDERS; BENDING STRENGTH; INVERSE PROBLEMS; LOADS (FORCES); OPTIMIZATION; STIFFNESS;

DAMAGE DETECTION;

BEAMS AND GIRDERS; BENDING STRENGTH; DAMAGE DETECTION; INVERSE PROBLEMS; LOADS (FORCES); OPTIMIZATION; STIFFNESS;

ANALYTICAL METHOD; DAMAGE; PARAMETERIZATION; STATIC RESPONSE; STIFFNESS;

EID: 34547122775     PISSN: 07339399     EISSN: None     Source Type: Journal    
DOI: 10.1061/(ASCE)0733-9399(2007)133:8(942)     Document Type: Article

References (27)

1. Anifantis, N., and Dimarogonas, A. (1993). "Stability of columns with a single crack subjected to follower and vertical loads." Int. J. Solids Struct. IJSOAD0020-768310.1016/0020-7683(83)90027-6, 19, 281-291.
2. Bagarello, F. (1995). "Multiplication of distribution in one dimension: Possible approaches and applications to δ-function and its derivatives." J. Math. Anal. Appl.JMANAK0022-247X10.1006/ jmaa.1995.1449, 196, 885-901.
3. Bagarello, F. (2002). "Multiplications of distributions in one dimension and a first application to quantum field theory." J. Math. Anal. Appl. JMANAK0022-247X10.1006/jmaa.2001.7724, 266, 298-320.
4. Banan, M. R., Banan, M. R., and Hjelmstad, K. D. (1994a). "Parameter estimation of structures from static response. I: Computational aspects." J. Struct. Eng. JSENDH0733-944510.1061/ (ASCE)0733-9445(1994)120:11(3243), 120(11), 3243-3258.
5. Banan, M. R., Banan, M. R., and Hjelmstad, K. D. (1994b). "Parameter estimation of structures from static response. II: Numerical simulation studies." J. Struct. Eng. JSENDH0733-944510.1061/(ASCE)0733-9445(1994)120:11(3259), 120(11), 3259-3283.
6. Bilello, C. (2001). "Theoretical and experimental investigation on damaged beams under moving systems." Ph.D. thesis, Università degli Studi di Palermo, Palermo, Italy.
7. Biondi, B., and Caddemi, S. (2005). "Closed form solutions of Euler-Bernoulli beam with singularities." Int. J. Solids Struct. IJSOAD0020-768310.1016/j.ijsolstr.2004.09.048, 42, 3027-3044.
8. Bremermann, H. J., and Durand III, L. J. (1961). "On analytic continuation, multiplication, and Fourier transformations of Schwartz distributuions." J. Math. Phys. JMAPAQ0022-248810.1063/1.1703706, 2, 240-257.
9. Cerri, M. N., and Vestroni, F. (2000). "Detection of damage in beams subjected to diffused cracking." J. Sound Vib. JSVIAG0022-460X10.1006/jsvi.1999.2887, 234, 259-276.
10. Cerri, M. N., and Vestroni, F. (2003). "Identification of damage due to open cracks by change of measured frequencies." Proc., 16th AIMETA Congress of Theoretical and Applied Mechanics, Ferrara, Italy.
11. Chondros, T. J., Dimarogonas, A. D., and Yao, J. (1998). "A continuous cracked beam vibration theory." J. Sound Vib. JSVIAG0022-460X10.1006/jsvi.1998.1640, 215(1), 17-34.
12. Christides, S., and Barr, A. D. S. (1984). "One-dimensional theory of cracked Bernoulli-Euler beams." Int. J. Mech. Sci. IMSCAW0020-740310.1016/0020-7403(84)90017-1, 26(11/12), 639-648.
13. Colombeau, J. F. (1984). New generalized functions and multiplication of distribution, North-Holland, Amsterdam, The Netherlands.
14. Di Paola, M., and Bilello, C. (2004). "An integral equation for damage identification of Euler-Bernoulli beams under static loads." J. Eng. Mech. JENMDT0733-939910.1061/(ASCE)0733-9399(2004)130:2(225), 130(2), 225-234.
15. Falsone, G. (2002). "The use of generalized functions in the discontinuous beam bending differential equation." Int. J. Electr. Eng. Educ. IJEEAF0020-7209, 18(3), 337-343.
16. Guelfand, I. M., and Chilov, G. E. (1972). Les distributions, Dunod, Paris.
17. Hoskins, R. F. (1979). Generalised functions, Ellis Horwood, Chichester, U.K.
18. Hjelmstad, K. D, and Shin, S. (1997). "Damage detection and assessment of structures from static response." J. Eng. Mech. JENMDT0733-939910.1061/(ASCE)0733-9399(1997)123:6(568), 123(6), 568-576.
19. Lighthill, M. J. (1958). "An introduction to Fourier analysis and generalised functions." Cambridge Univ. Press, London.
20. Ostachowicz, W. M., and Krawczuk, C. (1991). "Analysis of the effect of cracks on the natural frequencies of a cantilever beam." J. Sound Vib. JSVIAG0022-460X10.1016/0022-460X(91)90615-Q, 150(2), 191-201.
21. Paipetis, S. A., and Dimarogonas, A. D. (1986). Analytical methods in rotor dynamics, Elsevier, London.
22. Patil, D. P., and Maiti, S. K. (2003). "Detection of multiple cracks using frequency measurement." Eng. Fract. Mech. EFMEAH0013-794410.1016/S0013-7944(02)00121-2, 70, 1553-1572.
23. Sanayei, M., and Scampoli, S. F. (1991). "Structural element stiffness identification from static test data." J. Eng. Mech. JENMDT0733-9399, 117(5), 1021-1036.
24. Sinha, J. K., Friswell, M. I., and Edwards, S. (2002). "Simplified models for the location of cracks in beam structures using measured vibration data." J. Sound Vib. JSVIAG0022-460X10.1006/ jsvi.2001.3978, 251(1), 13-38.
25. Vestroni, F., and Capecchi, D. (1996). "Damage evaluation in cracked vibrating beams using experimental frequencies and finite elements model." J. Vib. Control JVCOFX1077-546310.1177/ 107754639600200105, 2, 69-86.
26. Vestroni, F., and Capecchi, D. (2000). "Damage detection in beam structures based on frequency measurements." J. Eng. Mech. JENMDT0733-939910.1061/(ASCE)0733-9399(2000)126:7(761), 126(7), 761-768.
27. Yavari, A., Sarkani, S., and Moyer Jr., E. T. (2000). "On applications of generalized functions to beam bending problems." Int. J. Solids Struct. IJSOAD0020-768310.1016/S0020-7683(99)00271-1, 37, 5675-5705.