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Power-spectral-density (PSD) analysis is a type of frequency-domain analysis in which a structure is subjected to a probabilistic spectrum of harmonic loading to obtain probabilistic distributions for dynamic response measures. A root-mean-square (RMS) formulation translates the PSD curve for each response quantity into a single, most likely value. Because PSD curves represent the continuous probability density function of each response measure, most of the integrated area will occur near the resonant frequencies of the structure. For accuracy, it is important to capture response at frequency steps near the natural modes of the structure.

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Steady-state analysis is another type of frequency-domain analysis in which a structure is subjected to a given set of one or more harmonic load patterns. Response is then calculated in a deterministic manner for each frequency of vibration. 


Additional notes on PSD include:

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  • The shape of the power-spectral-density input function is dependent upon the probability of loading for each frequency, and the variation in likely load magnitude as a function of its frequency.


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TO DO (review and possibly delete):

  • The Hz in the denominator indicates that the probability is a density which may be integrated over the frequency range to produce a single RMS value.

See Also

  • Tutorial by Tom Irvine, July 28, 2000 (PDF) - obtain the PSD function from random vibration time-history data using a bandpass filtering method

     

 

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