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Weibull distribution using the fatigue test as an example (survival/failure/reliability analysis)

In this video we take a closer look at the Weibull distribution, which is often used in failure analysis to describe the failure of mechanical or electronic components. 00:00 Stress-cycle curve (Wöhler curve) 02:34 Cumulative frequency 04:13 Frequency (histogram) 05:17 Relationship between frequency and cumulative frequency 05:57 Relative frequency 06:59 Probability 07:38 Corrected probability (population and sample) 10:54 Weibull distribution 13:07 Determination of the probability 15:02 Determination of the Weibull modulus and the scale parameter 17:00 Evaluation of the data (Weibull plot) 19:41 Characteristic lifetime 20:28 Weibull density function 22:03 Mean time to failure (empirical expected value) 23:03 Sample variance (empirical standard deviation) 24:18 Expected value and standard deviation 25:22 Probability of survival (reliability) 27:14 Absolute failure rate 28:47 Relative failure rate (hazard function) 30:57 Derivation of the hazard function 33:34 Selected Weibull distribution functions in comparison 34:43 Bathtub curve 36:31 Weibull distribution with failure free time