Vibration Based Structural Health Monitoring and the Modal Strain Energy Damage Index Algorithm Applied to a Composite T-Beam

  • R. Loendersloot
  • T. H. Ooijevaar
  • L. Warnet
  • A. de Boer
  • R. Akkerman


A Finite Element based numerical model for a vibration based damage identification method for a thin-walled slender composite structure is discussed in this chapter. The linear dynamic response of an intact and a locally delaminated 16-layer unidirectional carbon fibre PEKK reinforced T-beam is analysed. The capabilities of the modal strain energy damage index algorithm to detect and localize a delamination is assessed. Both bending and torsion modes of the structure are used in the algorithm. Both an experimental set-up and a numerical model are discussed. Measurements are performed on an intact and an artificially delaminated structure, using a laser-vibro measuring system to determine the response to a force excitation. A commercially available Finite Element package is employed for the numerical model. The aim of the numerical model is to perform a parametric study. The study is preceded by an experimental verification of the numerical model. Subsequently, it is used to analyse the effect of the size and location of a delamination, as well as the number of data points employed, on the damage index.


Mode Shape Evaluation Point Damage Index Frequency Response Function Structural Health Monitoring 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.




modulus of elasticity [N m−2]


fraction [–]


fractional strain energy [–]


natural frequency [Hz]


shear modulus [N m−2]


height of stiffener [m]




2nd moment of inertia [m4]


rotational moment of inertia [m4]


length [m]


length of delamination [m]


start of delamination [m]


total length [m]


momentum [N m]


natural mode index [–]


total number [–]


location of data lines [m]


torque [N m]


displacement [m]


strain energy [N m]


skin flange width [m]


distance to data lines [m]


cartesian coordinates



bending mode related value


torsion mode related value


threshold value



damage severity [–]


damage index [–]


relative error [%]


maximum relative error [%]


damping [N s m−1]


angle [rad]


Poisson’s ratio [–]


volumetric density [kg m−3]


| |

absolute value


mean value


damaged variant of parameter/variable

partial derivative


derivative/infinitesimal part





Experimental modal analysis


Fibre bragg grating


Frequency response function


Modal strain energy damage identification




Structural health monitoring


Technology readiness level


Vibration based


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Copyright information

© Springer Science+Business Media B.V. 2011

Authors and Affiliations

  • R. Loendersloot
    • 1
  • T. H. Ooijevaar
    • 2
  • L. Warnet
    • 2
  • A. de Boer
    • 1
  • R. Akkerman
    • 2
  1. 1.Engineering Technology, Applied MechanicsUniversity of TwenteEnschedeThe Netherlands
  2. 2.Engineering Technology, Production TechnologyUniversity of TwenteEnschedeThe Netherlands

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