Encyclopedia of Earthquake Engineering

2015 Edition
| Editors: Michael Beer, Ioannis A. Kougioumtzoglou, Edoardo Patelli, Siu-Kui Au

Stochastic Structural Identification from Vibrational and Environmental Data

  • Minas D. SpiridonakosEmail author
  • Eleni N. Chatzi
Reference work entry
DOI: https://doi.org/10.1007/978-3-642-35344-4_91


ARMA model; Environmental conditions; Output-only identification; Polynomial chaos expansion; Structural identification; Vibration response


In recent years, Structural Health Monitoring (SHM) of engineering structures has become an important area of research. This is a broad term which by large also deals with the online detection and identification of structural damage and therefore holds a critical significance for the case of large-scale civil structures where a failure incidence is connected not only to high cost losses but potentially to human loss in the worst-case scenario.

Vibration-based methods are today the fastest growing research area in the SHM field (Fassois and Kopsaftopoulos 2013). However, while such methods are already used for industrial mechanical structures, these are still far from being successfully implemented in large-scale civil structures such as high-rise buildings and bridges. The main reason for this discrepancy is the fact that...

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  1. Andersen P (1997) Identification of civil engineering structures using vector ARMA models. Aalborg University, Department of Mechanical EngineeringGoogle Scholar
  2. Blatman G, Sudret B (2010) An adaptive algorithm to build up sparse polynomial chaos expansions for stochastic finite element analysis. Probabilist Eng Mech 25:183–197CrossRefGoogle Scholar
  3. Doebling S, Farrar C, Prime M (1998) A summary review of vibration-based damage identification methods. Shock Vib Dig 30:91–105CrossRefGoogle Scholar
  4. Fassois SD, Kopsaftopoulos FP (2013) Statistical time series methods for vibration based structural health monitoring. In: Ostachowicz W, Guemes A (eds) New trends in structural health monitoring. Springer, Wien/London, pp 209–264CrossRefGoogle Scholar
  5. Kopsaftopoulos FP, Fassois SD (2006) Identification of stochastic systems under multiple operating conditions: the vector dependent FP–ARX parameterization. In: Proceedings of the 14th Mediterranean conference on control and automation. AnconaGoogle Scholar
  6. Kopsaftopoulos FP, Fassois SD (2013) A functional model based statistical time series method for vibration based damage detection, localization, and magnitude estimation. Mech Syst Signal Process 39:143–161CrossRefGoogle Scholar
  7. Ljung R (1999) System identification: theory for the user, 2nd edn. Prentice Hall, Upper Saddle RiverzbMATHGoogle Scholar
  8. Poulimenos AG, Fassois SD (2006) Parametric time-domain methods for non-stationary random vibration modelling and analysis: a critical survey and comparison. Mech Syst Signal Process 20:763–816CrossRefGoogle Scholar
  9. Sohn H (2007) Effects of environmental and operational variability on structural health monitoring. Philos Trans R Soc A 365:539–560CrossRefGoogle Scholar
  10. Soize C, Ghanem R (2004) Physical systems with random uncertainties: chaos representations with arbitrary probability measure. SIAM J Sci Comput 26:395–410MathSciNetzbMATHCrossRefGoogle Scholar
  11. Tóth R (2010) Identification and modeling of linear parameter-varying systems. Lecture notes in control and information sciences, vol 403. Springer, BerlinCrossRefGoogle Scholar
  12. Xiu D, Karniadakis GE (2002) The Wiener–Askey polynomial chaos for stochastic differential equations. SIAM J Sci Comput 24:619–644MathSciNetzbMATHCrossRefGoogle Scholar
  13. Zhao Y, Huang B, Su H, Chu J (2012) Prediction error method for identification of LPV models. J Process Control 22:180–193CrossRefGoogle Scholar

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© Springer-Verlag Berlin Heidelberg 2015

Authors and Affiliations

  1. 1.Department of Civil, Environmental and Geomatic EngineeringETH Zurich, Institute of Structural EngineeringZurichSwitzerland