Abstract
Modal analysis as a diagnostic tool in structural mechanics is gaining popularity, but its use requires some caution. Here we discuss two applications of an identification technique, based on the measurement of the eigenfrequencies only, to steel beams under various damage conditions.
Sommario
L' analisi modale come strumento diagnostico in meccanica delle strutture ha suscitato crescente interesse in anni recenti, ma il suo impiego pratico presenta ancora aspetti delicati. Qui si discutono due applicazioni su travi in acciaio sotto varie condizioni di danneggiamento in cui l' analisi e' fatta sulla base delle sole frequenze proprie.
Similar content being viewed by others
References
Gatti, F. and Giuseppetti, G., ‘Applicazione della System Identification ad un modello a rigidezza vincolare variabile’,Atti X Congresso Nazionale AIMETA, Pisa 2–5 October 1990.
Rizos, P.F., Aspragathos, N. and Dimarogonas, A.D., ‘Identification of crack location and magnitude in a cantilever beam from the vibration modes’,J. Sound Vibration,138(3) (1990) 381–388.
Lammens, S., Heylen, W. and Sas, P., ‘Error localization methods: an overview of evaluation at KUL’,Proc. 15th Internat. Seminar on Modal Analysis, Part I (1A), Katholieke Universiteit Leuven, 1990.
Udwadia, F.E. and Sharma, D.K., ‘Some uniqueness results related to building structural identification’,SIAM J. Appl. Math.,34 (1978) 104–118.
Udwadia, F.E., Sharma, D.K. and Shah, P.C., ‘Uniqueness of dumping and stiffness distributions in the identification of soil and structural systems’,J. Appl. Mech.,45 (1978) 181–187.
Gladwell G.M.L.,Inverse Problems in Vibration, Martinus Nijhoff Publishers, Dordrecht, 1986.
Ewins, D.J.,Modal Testing: Theory and Practice, Research Studies Press, London, 1988.
Udwadia, F.E. and Garba, J.A., ‘Parameter identification problems in structural and geotechnical engineering’,J. Engng. Mech. (ASCE),110(9) (1984) 1409–1432.
Ewins, D.J., ‘Modal analysis in an imperfect world’,Proc. 13th Internat. Seminar on Modal Analysis, Part I, (ed. P. Sas), Katholieke Universiteit Leuven, 1988.
Natke, H.G.,Identification of Vibrating Structures, Springer-Verlag, CISM, Udine, 1982.
Torkamani, A.M. and Ahmadi, A.K., ‘Stiffness identification of frames using simulated ground excitation’,J. Engng. Mech. (ASCE),114(5) (1988) 753–776.
Kohn, R.V. and McKenney, A., ‘Numerical implementation of a variational method for electrical impedance tomography’,Inverse Problems,6 (1990) 389–414.
Davini C., ‘Note on a parameter lumping in the vibrations of elastic beams’ (private communication).
ISMES, Internal Technical Report, Bergamo, 1991.
Janter, T. and Heylen, W., ‘QA-Modelupdating’,Proc. 13th Internat. Seminar on Modal Analysis, Part C (C-13), Katholieke Universiteit Leuven, 1988.
Liefooghe, C., Janter, T. and Sas, P., ‘Case studies of the application of the QA-Modelupdating algorithm’,Proc. 13th Internat. Seminar on Modal Analysis, Part C (C-14), Katholieke Universiteit Leuven, 1988.
Shen, M.-H.H. and Pierre, C., ‘Natural modes of Bernoulli-Euler beams with symmetric cracks’,J. Sound Vibration,138(1) (1990) 115–134.
Himmelblau, D.M.,Applied Non-Linear Programming, McGraw-Hill, New York, 1972.
Allemang, R., ‘Correction of finite element model via selected physical parameters’,Proc. 13th Internat. Seminar on Modal Analysis, Part C (C-12), Katholieke Universiteit Leuven, 1988.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Davini, C., Gatti, F. & Morassi, A. A damage analysis of steel beams. Meccanica 28, 27–37 (1993). https://doi.org/10.1007/BF00990287
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF00990287