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curve conversion

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I was trying to remember the conversion from years ago but got hung up on the /hz part you see on the PSDs. I believe it's a normalizing factor that takes into account the filter bandwidth (for old type analog spectrum analyzers) or the frequency resolution (for Fourier calculations). Anyways, I ran across this:


It's backwards (acceleration to displacement) but I would think you could go in reverse.
 
The double amplitude vs. frequency plot is for a sine sweep where there is a single excitation frequency at anytime. That frequency itself varies with time, usually with a linear or logarithmic sweep rate.

PSD tests are for random vibration where a broadband of excitation frequencies occur simultaneously.

There is no method to directly convert from sine sweep to PSD or vice versa. This can be done indirectly, however, using vibration or fatigue damage spectrum methods. These methods assume that the base input is applied to a single-degree-of-freedom (SDOF) system. Each method determines the response of the system to the given base input.
 
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