Resonance and Resonance-Induced Degradation

  • J. W. McPherson


The time-to-failure models (developed in Chap.  14) for periodic stresses assumed that the periodic stresses were not associated with any resonant frequencies for the component/system. However, nearly every component/system has certain natural (or resonant) frequencies that must be avoided. If the applied time-dependent stress ξ(t) is periodic, with a frequency close to a system’s natural frequency υ, then this condition is referred to as resonance. Resonance can produce unexpectedly large-amplitude oscillations. This is true for both mechanical systems and electrical systems. Because of resonance, what might have been thought initially to be a rather benign stress condition can actually be a severe stress condition.


  1. Askeland, D. The Science and Engineering of Materials, 3rd Ed., PWS Publishing, 1994.Google Scholar
  2. Bedford, A. and Liechti, K., Mechanics of Materials, Prentice Hall Publishing, 2000.Google Scholar
  3. Gere, J., Mechanics of Materials, 5th Ed., Brooks/Cole Publishing, 2001.Google Scholar
  4. Resnick, R., Halliday, D. and Krane, K., Physics, Vol.1, 4th Ed., John Wiley and Sons, 1992.Google Scholar
  5. Riley, K., Hobson, M. and Bence, S., Mathematical Methods for Physics and Engineering, Cambridge University Press, 1998.Google Scholar

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Authors and Affiliations

  • J. W. McPherson
    • 1
  1. 1.McPherson Reliability Consulting, LLCPlanoUSA

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