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IUTAM Symposium on Optimization of Mechanical Systems pp 197–204Cite as

Differentiation of Reliability Functions

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Part of the book series: Solid Mechanics and its Applications ((SMIA,volume 43))

Abstract

One of the main tools in reliability analysis of stochastic technical systems [4],[7],[10] are probability functions of the type.

$$ {\rm P}\left( {\rm x} \right)\,:\, = \,{\rm P}\left( {{\rm y}_{\ell {\rm i}} \, < \,{\rm y}_{\rm i} \,\left( {{\rm a}\left( \omega \right)\,,\,{\rm x}} \right)\, < \,{\rm y}_{{\rm ui}} \,,\,{\rm l} \le {\rm i} \le {\rm m}} \right)\,. $$
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References

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Author information

Authors and Affiliations

  1. Federal Armed Forces University Munich, Faculty of Aero-Space Engineering and Technology, D-85577, Neubiberg/München, Germany

    K. Marti

Authors
  1. K. Marti
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Editor information

Editors and Affiliations

  1. Department of Machine Dynamics, Technical University of Cottbus, Germany

    D. Bestle

  2. Institute B of Mechanics, University of Stuttgart, Germany

    W. Schiehlen

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© 1996 Kluwer Academic Publishers

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Marti, K. (1996). Differentiation of Reliability Functions. In: Bestle, D., Schiehlen, W. (eds) IUTAM Symposium on Optimization of Mechanical Systems. Solid Mechanics and its Applications, vol 43. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-0153-7_25

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  • DOI: https://doi.org/10.1007/978-94-009-0153-7_25

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-6555-9

  • Online ISBN: 978-94-009-0153-7

  • eBook Packages: Springer Book Archive

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