An Integral Equation for Damage Identification of Euler-Bernoulli Beams under Static Loads
Publication: Journal of Engineering Mechanics
Volume 130, Issue 2
Abstract
A damage identification procedure for Euler-Bernoulli beams under static loads is proposed. Use is made of an integral formulation for the static problem of damaged Euler-Bernoulli beams. This formulation originates from the observation that a variation in the bending stiffness of a linear elastic beam can be modeled as a superimposed curvature depending on damage parameters as well as on the actual bending moment distribution. Using the superposition principle, the problem is reduced to the solution of a Fredholm integral equation of the second kind characterized by a Pincherle-Goursat kernel. It is shown that the solution of this equation can always be obtained in an analytical form that may be used to set up a damage identification procedure based on the minimization of a nonlinear function of damage parameters.
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Information
Published In
Journal of Engineering Mechanics
Volume 130 • Issue 2 • February 2004
Pages: 225 - 234
Copyright
Copyright © 2004 American Society of Civil Engineers.
History
Received: May 30, 2002
Accepted: Aug 11, 2003
Published online: Jan 16, 2004
Published in print: Feb 2004
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