Smart Structures and Systems

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Sensor placement driven by a model order reduction (MOR) reasoning

  • Received : 2013.09.15
  • Accepted : 2014.01.10
  • Published : 2014.03.25
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Abstract

Given a body undergoing a stress-strain status as consequence of external excitations, sensors can be deployed on the accessible lateral surface of the body. The sensor readings are regarded as input of a numerical model of reduced order (i.e., the number of sensors is lower than the number of the state variables the full model would require). The goal is to locate the sensors in such a way to minimize the deviations from the response of the true (full) model. One adopts either accelerometers as sensors or devices reading relative displacements. Two applications are studied: a plane frame is first investigated; the focus is eventually on a 3D body.

Keywords

References

  1. Borzi, A. and Schulz, V. (2011), Computational optimization of systems governed by partial differential equations, SIAM, Philadelphia, (ISBN 978-1-611972-04-7)
  2. Calberg, K., Bou, Mosleh and Farhat, C. (2011), "Efficient non-linear model reduction via a least squares Petrov-Galerkin projection and compressive tensor approximations", Int. J. Numer. Meth. Eng., 86(2),155-181. https://doi.org/10.1002/nme.3050
  3. Casciati, F., Casciati, S., Faravelli L. and Franchinotti, M. (2012), "Model order reduction vs. structural control", Proceedings of the 5th EACS, Genoa, July.
  4. Casciati, S. (2008), "Stiffness identification and damage localization via differential evolution algorithms ", Struct. Control Health Monit., 15(3), 463-449.
  5. Casciati, S, and Borja, R.L. (2004), "Dynamic FE analysis of south memnon colossus including 3D soil-foundation-structure interaction" , Comput. Struct., 82(20-21), 1719-1736. https://doi.org/10.1016/j.compstruc.2004.02.026
  6. Casciati, S. and Faravelli, L. (2014), "Quantity vs. quality in the Model Order Reduction (MOR) of a linear system", Smart Struct. Syst.,13 (1), 99-109. https://doi.org/10.12989/sss.2014.13.1.099
  7. MSC (2013), Marc 2013 User's Guide , http://www.mscsoftware.com.
  8. Ohtori, Y., Christenson, R.E. and Spencer, B.F. (2004), "Benchmark control problems for seismically excited nonlinear buildings", J. Eng. Mech. - ASCE, 130, 366-385. https://doi.org/10.1061/(ASCE)0733-9399(2004)130:4(366)
  9. Papadimitriou C. (2004), "Optimal sensor placement methodology for parametric identification of structural systems", J. Sound Vib., 278(4), 923-947 https://doi.org/10.1016/j.jsv.2003.10.063
  10. Schilders, W.H.A., van der Vorst, H.A. and Rommes, J. (2008), Model Order Reduction : Theory, Research Aspects and Applications, Springer, Berlin.
  11. Yang , X.S. (2008), Nature-inspired metaheuristic algorithms, Luniver Press.

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