Optimal Sensor Placement for Structures Under Parametric Uncertainty

  • Rafael Castro-Triguero
  • Senthil Murugan
  • Michael I. Friswell
  • Rafael Gallego
Conference paper
Part of the Conference Proceedings of the Society for Experimental Mechanics Series book series (CPSEMS)

Abstract

This paper examines the influence of parametric uncertainties on the optimal sensor placement methodologies for modal analysis of a truss bridge. Four classical sensor location methodologies are employed: two based on the Fisher information matrix and two based on energy matrix rank optimization. Young’s modulus, mass density and cross sectional dimensions are considered as uncertain parameters. The independent effects and cumulative effects of these uncertain variables on the sensor configuration are studied. The optimal locations of sensors under parametric uncertainty are assessed by the use of three different criteria. Furthermore, the robustness of this configuration is investigated for different levels of signal-to-noise ratio. The numerical results show the parametric uncertainties have significant influence on the optimal sensor configuration of a truss bridge.

Keywords

Sensor placement Uncertainty Experimental/operational modal analysis 

References

  1. 1.
    Penny JET, Friswell MI, Garvey SD (1994) Automatic choice of measurement locations for dynamic testing. AIAA J 32:407–414CrossRefGoogle Scholar
  2. 2.
    Garvey SD, Friswell MI, Penny JET (1996) Evaluation of a method for automatic selection of measurement locations based on subspace-matching. In: Proceedings of XIV international modal analysis conference (IMAC), Hyatt Regency Dearborn Hotel, Dearborn, pp 1546–1552Google Scholar
  3. 3.
    Li DS, Li HN (2006) The state of the art of sensor placement methods in structural health monitoring. In: Tomizuka M, Yun CB, Giurgiutiu V (eds). In:Proceedings of the SPiE, Smart structures and materials 2006: sensors and smart structures technologies for civil, mechanical, and aerospace systems, vol 6174, pp 1217–1227Google Scholar
  4. 4.
    Kammer DC (1991) Sensor placement for on-orbit modal identification and correlation of large space structures. J Guid Contr Dyn 14:251–259CrossRefGoogle Scholar
  5. 5.
    Kammer DC, Peck JA (2008) Mass-weighting methods for sensor placement using sensor set expansion techniques. Mech Syst Signal Process 22:1515–1525CrossRefGoogle Scholar
  6. 6.
    Hemez FM, Farhat C (1994) An energy based optimum sensor placement criterion and its application to structural damage detection. In: Proceedings of XII international modal analysis conference (IMAC), Ilikai Hotel, Honolulu, pp 1568–1575Google Scholar
  7. 7.
    Heo G, Wang ML, Satpathi D (1997) Optimal transducer placement for health monitoring of long span bridge. Soil Dyn Earthq Eng 16:495–502CrossRefGoogle Scholar
  8. 8.
    Schueller GI (2007) On the treatment of uncertainties in structural mechanics and analysis. Comput Struct 85:235–243CrossRefGoogle Scholar
  9. 9.
    Choi SK, Grandhi RV, Canfield RA (2006) Reliability-based structural design. Springer, LondonGoogle Scholar
  10. 10.
    Doebling SW, Hemez FM (2001) Overview of uncertainty assessment for structural health monitoring. In: Proceedings of the 3rd international workshop on structural health monitoring, Stanford University, StanfordGoogle Scholar
  11. 11.
    Murugan S, Ganguli R, Harursampath D (2008) Aeroelastic response of composite helicopter rotor with random material properties. J Aircr 45:306–322CrossRefGoogle Scholar
  12. 12.
    Murugan S, Harursampath D, Ganguli R (2008) Material uncertainty propagation in helicopter nonlinear aeroelastic response and vibration analysis. AIAA J 46:2332–2344CrossRefGoogle Scholar
  13. 13.
    Murugan S, Chowdhury R, Adhikari S, Friswell MI (2011) Helicopter aeroelastic analysis with spatially uncertain rotor blade properties. Aero Sci Tech 16:29–39CrossRefGoogle Scholar
  14. 14.
    Austrell PE (2004) CALFEM: A Finite Element Toolbox : Version 3.4. Lund University (Sweden)Google Scholar
  15. 15.
    Guratzsch RF, Mahadevan S (2010) Structural health monitoring sensor placement optimization under uncertainty. AIAA J 48:1281–1289CrossRefGoogle Scholar

Copyright information

© The Society for Experimental Mechanics, Inc. 2013

Authors and Affiliations

  • Rafael Castro-Triguero
    • 1
  • Senthil Murugan
    • 2
  • Michael I. Friswell
    • 2
  • Rafael Gallego
    • 3
  1. 1.University of CordobaCordobaSpain
  2. 2.College of EngineeringSwansea UniversitySwanseaUK
  3. 3.University of GranadaGranadaSpain

Personalised recommendations