In practice, power spectral density is used to:

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  1. quantify random vibration fatigue
  2. quantify harmonics generated by engines
  3. quantify sinusoidal data
  4. quantify harmonics generated by Pumps and gears

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Option 1 : quantify random vibration fatigue
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Explanation:

In practice, power spectral density is used to quantify random vibration fatigue.

  • Power spectral density (PSD) is the energy variation that takes place within a vibrational signal, measured as frequency per unit of mass. In other words, for each frequency, the spectral density function shows whether the energy that is present is higher or lower. 
  • Vibration in the real world is often "random" with many different frequency components. Power spectral densities (PSD or, as they are often called, acceleration spectral densities or ASD for vibration) are used to quantify and compare different vibration environments.
  • In real-world Power spectral density is used in the packaging industry to measure how vibrations may affect the goods and this helps in quantifying the random vibration fatigue on goods packed in packaging.
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