Abstract
The frequency response function of structures can be modeled with pole-zero functions or as modal summations. Either representation can be used to obtain probability distributions for the magnitude of the frequency response functions. These probabiltiy functions range from trigonometric functions for simple structures to log-normal distributions for complex structures. Examples are given for simulated and measured frequency response functions of beams, plates, and vehicle structures. The statistical measures obtained from frequency averages are similar to those obtained from ensemble averages in complex structures. This suggests that a sufficiently complex structure can be considered ergodic in the frequency domain.
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