Identification of Concentrated Damages in Euler-Bernoulli Beams under Static Loads
Publication: Journal of Engineering Mechanics
Volume 133, Issue 8
Abstract
An identification procedure of concentrated damages in Euler-Bernoulli beams under static loads is presented in this work. The direct analysis problem is solved first by modeling concentrated damages as Dirac’s delta distributions in the flexural stiffness. Closed-form solutions for both statically determinate and indeterminate beams are presented in terms of damage intensities and positions. On this basis, for the inverse damage identification problem, a nonquadratic optimization procedure is proposed. The presented procedure relies on the minimization of an error function measuring the error between the analytical model response and experimental data. The procedure allows to recognize “a posteriori” some sufficient conditions for the uniqueness of the solution of the damage identification problem. The influence of the instrumental noise on the identified parameters is also explored.
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Acknowledgments
This work is part of the National Research Project “Nondestructive testing for identification and diagnosis of materials and structures” (2003–2005), supported by MIUR, Grant No. 2003082352.
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Information & Authors
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Published In
Journal of Engineering Mechanics
Volume 133 • Issue 8 • August 2007
Pages: 942 - 956
Copyright
© 2007 ASCE.
History
Received: Aug 5, 2004
Accepted: Sep 13, 2006
Published online: Aug 1, 2007
Published in print: Aug 2007
Notes
Note. Associate Editor: Bojan B. Guzina
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