Identification of welding residual stresses in rectangular plates using vibration responses

Inverse Problems in Science and Engineering

Volumn 14, Issue 3, 2006, Pages 313-331

  Vieira Jr , A B ^a   Rade, D A ^b   Scotti, A ^b  

^a FEDERAL UNIVERSITY OF BAHIA   (Brazil)

^b FEDERAL UNIVERSITY OF UBERLÂNDIA   (Brazil)

Author keywords

Assumed modes; Genetic Algorithms; Inverse problems; Stress stiffening

Indexed keywords

EID: 33244483863     PISSN: 10682767     EISSN: None     Source Type: Journal    
DOI: 10.1080/17415970500521361     Document Type: Article

References (23)

1. Parlane, A.J.A., Allen, J.S., Harrison, J.D., Leggatt, R.H., Dwight, J.B., Bailcy, N., Procter, E. and Saunders, G.G., 1981, Residual Stresses and their Effect (UK: The Welding Institute).
2. Lu, J., James, M. and Roy, G., 1996, Handbook of Measurement of Residual Stresses (USA: Society for Experimental Mechanics, Inc.).
3. Kandil, F.A., Lord, J.D., Fry, A.T. and Grant, P.V., 2001, A Review of Residual Stress Measurement Methods - A Guide to Technique Selection (UK: NPL Materials Centre).
4. Radaj, D., 1992, Heat Effects of Welding: Temperature Field, Residual Stress, Distortion (Germany: Springer-Verlag).
5. Depradeux, L., 2004, Numerical Simulation of Welding - Steel 316 L - Validation by test-cases of increasing complexity. Doctorate Dissertation, Institut National des Sciences Appliquées de Lyon, France (in French).
6. Bassily, S.F. and Dickinson, S.M., 1972, Buckling and lateral vibration of rectangular plates subject to in-plane loads - A Ritz approach. Journal of Sound and Vibration, 24(2), 219-239.
7. Almeida, S.F.M. and Hansen, J.S., 1999, Natural frequencies of composite plates with tailored thermal residual stresses. International Journal of Solids and Structures, 36, 3517-3539.
8. Kaldas, M.M. and Dickinson, S.M., 1981, Vibration and buckling calculations for rectangular plates subject to complicated in-plane stress distributions by using numerical integration in a RayleighRitz analysis. Journal of Sound and Vibration, 75(2), 151-152.
9. Vicira, A.B. Jr, Cunha, S.S. Jr and Rade, D.A., 2002, Experimental appraisal of the influence of residual stresses on the dynamic responses of welded plates. In: Proceedings of the II National Congress of Mechanical Engineering - CONEM2002, Brazil (in Portuguese).
10. Vieira, A.B. Jr, 2003, Identification of stresses in rectangular plates from vibration responses, with application to welding residual stresses. Doctorate Thesis in Mechanical Engineering, Federal University of Uberlândia, Brazil (in Portuguese).
11. Vieira, A.B. Jr and Rade, D.A., 2003, Identification of stresses in plates from dynamic responses. In: Proceedings of the IMAC-XXI: Conference & Exposition on Structural Dynamics, Orlando, USA.
12. Craig Jr, 1981, Structural Dynamics. An Introduction to Computer Methods (USA: John Wiley & Sons).
13. Géradin, M. and Rixen, D., 1997, Mechanical Vibrations - Theory and Application to Structural Dynamics (UK: John Wiley & Sons).
14. Young, D., 1950, Vibration of rectangular plates by the Ritz method. Journal of Applied Mechanics, 17, 448-453.
15. Kamtekar, A.G., 1978, The calculation of welding residual stresses in thin steel plates. International Journal of Mechanical Sciences, 20, 207-227.
16. Timoshenko, S. and Goodier, J.N., 1970, Theory of Elasticity (Japan: McGraw-Hill).
17. Assis, E.G. and Stoffen, V. Jr, 2003, Inverse problem techniques for the identification of rotor-bearing systems. Inverse Problems in Engineering, 11(1), 39-53.
18. Steffen, V. Jr and Rade, D.A., 2005, Model-based inverse problems in structural dynamics. Damage Prognosis for Aerospace, Civil and Mechanical Systems, ISBN 0-470-86907-0 (UK: Wiley), pp. 133-175.
19. Houck, C.R., Joines, J. and Kay, M., 1996, A genetic algorithm for function optimization: a Matlab implementation. Available at http://www.ie.ncsu.edu/mirage/GAToolBox/gaot/
20. Goldberg, D.E., 1989, Genetic Algorithms in Search, Optimisation, and Machine Learning (USA: Addison-Wesley).
21. Michalewicz, Z., 1994, Genetic Algorithms + Data Structures = Evolution Programs, 2nd Edn (Germany: Springer).
22. Haupt, R. and Haupt, S.E., 1998, Practical Genetic Algorithms (USA: John Wiley).
23. Vieira, A.B. Jr and Scotti, A., 2003, Modeling of the distribution of residual stresses in welded plates. In: Proceedings of the II Brazilian Congress of Manufacture Engineering, II COBEF, Uberlândia, MG, Brazil (in Portuguese).