Damage Detection and Characterization in Smart Material Structures

  • H. T. Banks
  • Y. Wang
Conference paper
Part of the ISNM International Series of Numerical Mathematics book series (ISNM, volume 118)


We present theoretical, computational and experimental findings in initial investigations related to methods for detection and geometric characterization of damage in piezoceramic based smart material structures. The feasibility of using self-exitation/self-sensing with piezoceramics in vibration nondestructive testing is demonstrated using a combination of experimental and simulated data computational tests.

1991 Mathematics Subject Classification

35R30 73D50 73K05 

Key words and phrases

Inverse problems distributed parameter systems smart materials damage defection 


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  1. [ABB]
    D. Armon, Y. Ben-Hain, and S. Braun, Crack detection in beams by rank-ordering of eigenfrequency shifts ,Mechanical Systems and Signal Processing, to appear.Google Scholar
  2. [AC]
    R.D. Adams and P. Cawley, The location of defects in structures from measurements of natural frequencies ,J. Strain Analysis 14 (1979), pp. 49–57.CrossRefGoogle Scholar
  3. [ACPS]
    R.D. Adams, P. Cauley, C.J. Pye and B.J. Stone, A vibrational technique for nondestructively assessing the integrity of structures ,J. Mech. Engr. Sci. 20 (1979), pp. 93–100.CrossRefGoogle Scholar
  4. [B]
    H.T. Banks, On a variational approach to some parameter estimation problems , in Distributed Parameter Systems (ed. by F. Kappel, et. al.), Springer Lecture Notes in Control and Information Sciences, 75 (1985), pp. 1–23.CrossRefGoogle Scholar
  5. [BI]
    H.T. Banks and D.J. Inman, On damping mechanisms in beams ,ICASE Rep. #89-64 August, 1989; ASME J. Applied Mechanics 58 (1991), pp. 716–723.zbMATHCrossRefGoogle Scholar
  6. [BIW]
    H.T. Banks, K. Ito and Y. Wang, Well posedness for damped second order systems with unbounded input operators ,CRSC-TR93-10, North Carolina State University, June, 1993; Differential and Integral Equations, to appear.Google Scholar
  7. [BK1]
    H.T. Banks and F. Kojima, Boundary shape identification problems in two dimensional domains related to thermal testing of materials ,Quart. Applied Math., 47 (1989), pp. 273–293.MathSciNetzbMATHGoogle Scholar
  8. [BK2]
    H.T. Banks and F. Kojima, Boundary identification for 2-D parabolic systems arising in thermal testing materials ,Proceedings of 27th IEEE Cong. on Dec. and Control (1988), pp.1678–1683.Google Scholar
  9. [BK3]
    H.T. Banks and K. Kunisch, Estimation Techniques for Distributed Parameter Systems ,Birkhaüser, Boston, 1989.zbMATHCrossRefGoogle Scholar
  10. [BKW]
    H.T. Banks, F. Kojima, and W.P. Winfree, Boundary estimation problems arising in thermal tomography ,CAMS Tech. Rep 89-6, University of Southern California; Inverse Problems 6 (1990), pp. 897–921.MathSciNetzbMATHGoogle Scholar
  11. [BR]
    H.T. Banks and D.A. Rebnord, Analytic semigroups: applications to inverse problems for flexible structures , in Differential Equations with Applications (ed. by J. Goldstein, et. al.), Marcel Dekker, 1991, pp. 21–35.Google Scholar
  12. [BSW]
    H.T. Banks, R. Smith and Y. Wang, The modeling of piezoceramic patch interactions with shell, plates and beams ,Quarterly of Applied Mathematics, to appear.Google Scholar
  13. [BW]
    H.T. Banks and Y. Wang, Parameter identification in the frequency domain , in Progress in Systems and Control Theory: Computation and Control III, (ed. by K Bowers and J. Lund) Birkhäuser, 1993, pp. 49–62.Google Scholar
  14. [BWI]
    H.T. Banks, Y. Wang and D.J. Inman, Bending and shear damping in beams: frequency domain estimation techniques ,CAMS Tech. Rep. 91-25, September, 1991, USC; ASME J. Vibration and Acoustics, to appear.Google Scholar
  15. [BWIS]
    H.T. Banks, Y. Wang, D.J. Inman and J.C. Slater, Approximation and parameter identification for damped second order systems with unbounded input operators ,CRSC-TR93-9, North Carolina State University, May, 1993; Control: Theory and Advanced Technology, to appear.Google Scholar
  16. [CA]
    E.F. Crawley and E.H. Anderson, Detailed models for piezoceramic actuation of beams ,AIAA Conf. paper 89-1388-CP, 1989, pp. 2000–2010.Google Scholar
  17. [CFW]
    R.L. Clark, Jr., C.R. Fuller and A Wicks, Characterization of multiple piezoelectric actuators for structural excitation ,J. Acoust. Soc. Amer., 1991, to appear.Google Scholar
  18. [CR]
    P. Cawley and R.Ray, A comparison of the natural frequency changes produced by cracks and slots ,ASME J. Vibration, Acoustics, Stress and Reliability in Design 110 (1988), pp. 366–370.CrossRefGoogle Scholar
  19. [DFR]
    E.K. Dimitriadis, C.R. Fuller and C.A. Rogers, Piezoelectric actuators for distributed noise and vibration excitation of thin plates ,Proc. 8th ASME Conf. on Failure Prevention, Reliability, and Stress Analysis, Montreal, 1989, pp. 223–233.Google Scholar
  20. [DIG]
    J. Dosch, D.J. Inman, and E. Garcia, A self-sensing piezoelectric actuator for collocated control ,J. Intell. Material Systems and Structures, 3 1992, pp. 166–185.CrossRefGoogle Scholar
  21. [FC]
    J.L. Fanson and T.K. Caughey, Positive position feedback control for large structures, Structural Dynamics and Materials Conf., AIAA Conf. Paper 87-0902, 1987, pp. 588–598.Google Scholar
  22. [IC]
    A. Isman and K. Craig, Damage detection in composite structures using piezoelectric materials ,1st ARO Workshop on Smart Structures and Materials, U. Texas-Arlington, Sept. 22–24, 1993.Google Scholar
  23. [P]
    P.M. Prenter, Splines and Variational Methods ,Wiley, New York, 1975.zbMATHGoogle Scholar
  24. [S]
    H. Sato, Free vibration of beams with abrupt changes of cross-section ,J. Sound and Vibration 89 (1983), pp. 59–64.zbMATHCrossRefGoogle Scholar
  25. [WA]
    Y. Wang, Damping Modeling and Parameter Estimation in Timoshenko Beams ,Ph.D. Thesis, Brown University, May 1991.Google Scholar
  26. [W]
    J. Wloka, Partial Differential Equations ,Cambridge University Press, New York, 1987.zbMATHGoogle Scholar

Copyright information

© Springer Basel AG 1994

Authors and Affiliations

  • H. T. Banks
    • 1
  • Y. Wang
    • 1
  1. 1.Center for Research in Scientific ComputationNorth Carolina State UniversityRaleighUSA

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