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