Resonance Effects

We can't think of an example of structural or vehicular or device damage caused by vibration, in which the structure/vehicle/device had not resonated. Examples may exist but they are extremely rare.
So let us in this ebook focus our attention on the condition we call resonance, in which some forcing frequency ff of some applied vibratory force happens to match one of the target structure's natural frequencies fn. The result is some magnification, some increase in response larger than it would have been at other forcing frequencies.We first study the simplest system, the SDoF system, because it only has one natural frequency and therefore can only have one resonance.  The math is simple. Another reason is that, later, when we deal with more complex systems having more than one resonance, we will find that each resonance behaves much like the single resonance we are studying here.
  3.1    Concentrate on resonances
  3.2    Forcing frequency = natural frequency
  3.3    Useful electromechanical analogs
  3.4    A little more math
  3.5    A hand-held fn experiment
  3.6    Effect of varying static deflection δ
  3.7    Have you access to a shaker?
  3.8    Transmissibility graph
  3.9    Half power bandwidth
  3.10  Critical damping
  3.11  Mass and weight are not synonymous