An efficient approach to identify multiple cracks in a slender beam
using the frequency response function data is presented. It is formulated in a general form from the dynamic stiffness equation of motion for a structure and then
applied to a slender beam. The cracks are modeled by rotational springs and the
frequency response function is computed based on a spectral element model by the
spectral finite element. The procedure gives a linear relationship explicitly between
the changes of the measured frequency response function and crack parameters.
The inverse problem is solved iteratively for the depths and locations of the cracks
through the sensitivity-based model updating. Some numerically simulated tests on
beam examples are provided for validating the feasibility of the method to identify
the cracks. The results are generally agreement with the target values. Finally, the
effect of noise on the damage identification is discussed in the numerical examples.
Cite This Article
APA Style
Guo, Z., Sun, Z. (2011). Multiple cracked beam modeling and damage detection using frequency response function. Structural Longevity, 5(2), 97-106. https://doi.org/10.3970/sl.2011.005.097
Vancouver Style
Guo Z, Sun Z. Multiple cracked beam modeling and damage detection using frequency response function. Structural Longevity . 2011;5(2):97-106 https://doi.org/10.3970/sl.2011.005.097
IEEE Style
Z. Guo and Z. Sun, "Multiple Cracked Beam Modeling and Damage Detection using Frequency Response Function," Structural Longevity , vol. 5, no. 2, pp. 97-106. 2011. https://doi.org/10.3970/sl.2011.005.097