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

Пікірлер: 24

  • @user-yx8cq8kd7t
    @user-yx8cq8kd7t10 ай бұрын

    I can't believe that how such a important video has only few view and likes.. it should go viral at very fast rate.

  • @emmanuelphiri2086

    @emmanuelphiri2086

    3 ай бұрын

    Im thinking the same here

  • @diesel6072
    @diesel6072Ай бұрын

    By far, one of the Weibull tutorials online. I highly appreciate you doing "from scratch" derivations and using example data. Excellent job.

  • @tec-science

    @tec-science

    Ай бұрын

    Thank you very much for your kind words

  • @imrozeaslam5784
    @imrozeaslam57845 ай бұрын

    This is the best video on the Weibull distribution on the internet. Super like ❤❤

  • @tec-science

    @tec-science

    5 ай бұрын

    Thank you very much 🙏🏽

  • @shafiulislamdipto1136
    @shafiulislamdipto11364 ай бұрын

    Your explanation of Weibull distribution helped me to fill up the missing pieces of puzzles that I was trying to solve for several weeks. Thanks!

  • @tec-science

    @tec-science

    4 ай бұрын

    Thank you very much, I really appreciate it.

  • @ATS-qx4ee
    @ATS-qx4ee8 ай бұрын

    You deserve millions like. Thank you for your effort and fantastic explanation.

  • @tec-science

    @tec-science

    8 ай бұрын

    Thank you for the appreciation! 🙏🏾

  • @user-wy4mt6jv6p
    @user-wy4mt6jv6pАй бұрын

    Excellent, the best explication, clear. Tks very much from Colombia

  • @Ghostalitta
    @Ghostalitta2 ай бұрын

    Where have you been all this time, very intuitive and easy to understand!

  • @solaimangabbar1524
    @solaimangabbar15245 ай бұрын

    Excellent summary.💯

  • @tec-science

    @tec-science

    5 ай бұрын

    Thank you 🙏🏽

  • @user-yx8cq8kd7t
    @user-yx8cq8kd7t11 ай бұрын

    Very Very good and useful video Thank you so much

  • @tec-science

    @tec-science

    10 ай бұрын

    You're welcome

  • @sirikeeton1389
    @sirikeeton13894 ай бұрын

    Thank you. It's amazing!

  • @tec-science

    @tec-science

    4 ай бұрын

    You're welcome!

  • @alaayoussef7755
    @alaayoussef7755 Жыл бұрын

    GREAT ..... thank you so much

  • @tec-science

    @tec-science

    Жыл бұрын

    You're welcome

  • @neilmenon8943
    @neilmenon89432 ай бұрын

    Could you do a similar video on the Dormant weibull equation.

  • @tec-science

    @tec-science

    Ай бұрын

    I'll add it to my to-do list, but I have other projects to do at the moment.

  • @antof4067
    @antof406729 күн бұрын

    great video. Congratulation . just a question. How can I generate the graph of frequency vs. load cycles with Stata ?

  • @tec-science

    @tec-science

    28 күн бұрын

    Thank you for the congratulations and for watching the video! I'm glad you enjoyed it. 😊 Unfortunately, I can't help you with Stata.