Statistical analysis of the damage detection performance under environmental or operational influences

Jyrki Kullaa*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionScientificpeer-review

5 Citations (Scopus)


In the design of structural health monitoring (SHM) systems, it is important to know how damage detection performance is affected by environmental or operational variability to decide the number of sensors in the structure. The detection performance is influenced by the data dimensionality and the number of environmental or operational variables. The monitoring data can be divided into two subspaces: the signal space and the noise space. The environmental or operational influences are contained in the signal space. Changes in the data due to damage can appear in either subspace. Damage can be detected in the noise space, whereas in the signal space it may remain undetected. Because no measurements from the damaged structure are usually available in advance, the effect of damage and the corresponding subspace remain unknown. In the statistical study, it is assumed that the orientation of the damage vector is uniformly distributed in the data space and that damage can be detected in the noise space only. The projection of the data onto the noise space determines the detection performance. The result of the statistical analysis is the average detection performance as a function of the data dimensionality and the number of environmental or operational variables. Also, the probability that the detection performance is at least 0.5 of that of the ideal case is plotted. These diagrams can be used in the design of SHM systems.

Original languageEnglish
Title of host publicationInternational Conference on Structural Engineering Dynamics
EditorsA Cunha, E Caetano, P Ribeiro, G Muller
Number of pages8
Publication statusPublished - 2014
MoE publication typeA4 Article in a conference publication
EventInternational Conference on Structural Engineering Dynamics - Porto, Portugal
Duration: 30 Jun 20142 Jul 2014
Conference number: 9

Publication series

NameEURODYN-International Conference on Structural Dynamics
ISSN (Print)2311-9020


ConferenceInternational Conference on Structural Engineering Dynamics
Abbreviated titleICEDyn


  • Structural health monitoring
  • Environmental or operational effects
  • Damage detection
  • Design of SHM systems
  • Sensor network

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