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Structural Monitoring and Maintenance
  Volume 4, Number 3, September 2017 , pages 269-299
DOI: https://doi.org/10.12989/smm.2017.4.3.269
 

Nondestructive damage evaluation of deep beams
Selcuk Dincal and Norris Stubbs

 
Abstract
    This paper presents a Level III damage evaluation methodology, which simultaneously, identifies the location, the extent, and the severity of stiffness damage in deep beams. Deep beams are structural elements with relatively high aspect (depth-to-length) ratios whose response are no longer based on the simplified Euler-Bernoulli theory. The proposed methodology is developed on the bases of the force-displacement relations of the Timoshenko beam theory and the concept of invariant stress resultants, which states that the net internal force existing at any cross-section of the beam is not affected by the inflicted damage, provided that the external loadings in the undamaged and damaged beams are identical. Irrespective of the aspect ratios, local changes in both the flexural and the shear stiffnesses of beam-type structures may be detected using the approach presented in this paper.
 
Key Words
    nondestructive damage evaluation; deep beams; Timoshenko beam theory; stress resultants; modal flexibility
 
Address
Selcuk Dincal: 2H Offshore Inc., 15990 North Barkers Landing, Suite 200, Houston, TX 77079, USA
Norris Stubbs: Zachry Department of Civil Engineering, Texas A&M University, 3136 TAMU, College Station, TX 77843, USA
 

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