Abstract
This paper investigates and quantifies the effects of insufficient sampling on counting algorithms in vibration fatigue. Even though a stress series upholds the Nyquist-Shannon theorem, insufficiently sampled series lead to discrepancies in the fatigue damage estimation, if their peaks are not well resolved in the time domain. Therefore, these discrepancies are investigated by relating the fatigue damage potential of stress series to its up-sampled series using popular signal reconstruction algorithms. In order to find suitable parameters for describing and specifying the error due to insufficient sampling (up to 35%) time series are considered that represent synthetic and realistic PSDs. A best-fitting error formula is obtained that estimates from a PSD whether and to what extent a stress series is subjected to insufficient sampling. This provides more accurate results for lifetime estimation without changing the computational of cycle counting algorithms.
Published Version
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