Skip to main content
SpringerLink
Log in

Damage assessment based on the structural frequency-response function

  • Published:
Experimental Mechanics Aims and scope Submit manuscript

Abstract

A method is presented for determining both the amount and position of damage present in members which can be modeled as longitudinally vibrating uniform beams. The method is valid for all boundary conditions, and for simplicity, is applied to the free-free case. It uses the shift in the natural frequencies of vibration, which are determined from the structural frequency-response function, caused by the damage present in the beam. These altered values of frequency are then utilized in a graphical solution technique which predicts the damage location directly and provides a parameter whose value is related to the magnitude of the damage present.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Springer, W.T., Lawrence, K.L., and Lawley, T.J. “The Effect of a Symmetric Discontinuity on Adjacent Material in a Longitudinally Vibrating Uniform Beam,” submitted to Experimental Mechanics.

  2. Bishop, R.E.D. andJohnson, D.C., “Introduction,”The Mechanics of Vibration, Cambridge Univ. Press, London, Ch. 1, 40–47 (1960).

    Google Scholar 

  3. Bishop, R.E.D., Gladwell, G.M.L. andMichaelson, S., “The Vibration of Conservative Systems Having a Finite Number of Degrees of Freedom,”The Matrix Analysis of Vibration, Cambridge Univ. Press, London, Ch. 2, 49–51 (1965).

    Google Scholar 

  4. Bishop, R.E.D. andJohnson, D.C., “Torsional and Longitudinal Vibration of Uniform Shafts and Bars,”The Mechanics of Vibration, Cambridge Univ. Press, London, Ch. 6 273–281 (1960).

    Google Scholar 

  5. Adams, R.D. et al., “A Vibration Technique for Non-Destructively Assessing the Integrity of Structures,”J. Mech. Eng. Sci. 20 (2),93–100 (1978).

    Google Scholar 

  6. Hertzberg, R.W., “Elements of Fracture Mechanics,”Deformation and Fracture Mechanics of Engineering Materials, John Wiley & Sons, New York, Ch. 8, 288–295 (1976).

    Google Scholar 

  7. “Metallic Materials and Elements for Aerospace Vehicle Structures,” Military Standardization Handbook,1,Department of Defense, 2.1–3.263.

Download references

Author information

Authors and Affiliations

  1. Mechanical Engineering Department, University of Arkansas, 72701, Favetteville, AR

    W. T. Springer (SEM Member) is Assistant Professor)

  2. Mechanical Engineering Department, University of Texas at Arlington, 76019, Arlington, TX

    K. L. Lawrence (Professor) & T. J. Lawley (Associate Professor)

Authors
  1. W. T. Springer
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. K. L. Lawrence
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. T. J. Lawley
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Springer, W.T., Lawrence, K.L. & Lawley, T.J. Damage assessment based on the structural frequency-response function. Experimental Mechanics 28, 34–37 (1988). https://doi.org/10.1007/BF02328993

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02328993

Keywords

Search

Navigation