Appendices
Lifespan of a mechanical system - Modeling of random loads
Article REF: BM5031 V1
Appendices
Lifespan of a mechanical system - Modeling of random loads

Authors : Raed KOUTA, Daniel PLAY

Publication date: July 10, 2007 | Lire en français

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7. Appendices

7.1 Appendix A: Main Pearson system solutions and alternative laws

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7.1.1 Introducing Beta 1

This law takes into account all possible asymmetries between 0 and 1.8. In terms of flattening, it takes into account flattening between 1 and a maximum of 5.8. Physically, this means that the law is limited in its horizontal extension. Indeed, this law is theoretically defined within an interval. The normalized form of this probability law is expressed as follows: fx(x)=γ(p+q)γ(p)γ(q)xp−1

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