Harris' Shock and Vibration Handbook

MODAL DATA PRESENTATION/VALIDATION

Once the modal parameters are determined, there are several procedures that allow the modal model to be validated. Some of the procedures that are used are

  • Measurement synthesis

  • Visual verification (animation)

  • Finite element analysis

  • Modal vector orthogonality

  • Modal vector consistency (modal assurance criterion)

  • Modal modification prediction

  • Modal complexity

  • Modal phase colinearity and mean phase deviation

All of these methods depend upon the evaluation of an assumption concerning the modal model. Unfortunately, the success of the validation method defines only the validity of the assumption; the failure of the modal validation does not generally define what the cause of the problem is.

MEASUREMENT SYNTHESIS

The most common validation procedure is to compare the data synthesized from the modal model with the measured data. This is particularly effective if the measured data are not part of the data used to estimate the modal parameters. This serves as an independent check of the modal parameter estimation process. The visual match can be given a numerical value if a correlation coefficient, similar to coherence, is estimated. The basic assumption is that the measured frequency response function and the synthesized frequency response function should be linearly related (unity) at all frequencies.

Synthesis correlation coefficient (SCC):.


where

H pq( ?)

= measured frequency response function

? pq( ?)

= synthesized frequency response function

VISUAL VERIFICATION

Another common method of modal model validation is to evaluate the modal vectors visually. While this can be accomplished from plotted modal vectors...

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