Vibration fatigue analysis via spectral methods is widely considered superior to traditional time-domain analysis for large-scale engineering models
The primary advantage highlighted in most texts is speed. By utilizing Power Spectral Density (PSD) functions and statistical properties (moments $m_n$), spectral methods bypass the need for long, complex time-series simulations. What would take hours in the time domain (simulating a 30-minute drive on a virtual road) takes seconds in the frequency domain. vibration fatigue by spectral methods pdf better