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Statistical Properties of a Load-Sharing Bundle

In: Fiber Bundles

Author

Listed:
  • James U. Gleaton

  • David Han

    (University of Texas at San Antonio, Management of Science and Statistics)

  • James D. Lynch

    (University of South Carolina, Department of Statistics)

  • Hon Keung Tony Ng

    (Bentley University, Department of Mathematical Sciences)

  • Fabrizio Ruggeri

    (Consiglio Nazionale delle Ricerche, Istituto di Matematica Applicata e Tecnologie Informatiche)

Abstract

As indicated in the introduction of Part II, some physical systems can be modeled using fiber bundles where a bundle is a load-sharing parallel reliability system of components. Here, a parallel system (bundle) fails when all the components in the system fail. Below we discuss load-sharing rules for a bundle and its consequences and then give the survival distribution and mixed distribution of the strength of a bundle under increasing load. After that, we give the joint distribution, the Gibbs measure, of the state (failed/working) of the components of a bundle and discuss the stochastic failure process for the bundle. Finally, we close the chapter with a discussion of size effects for the equal load-sharing rule and a local load-sharing rule.

Suggested Citation

  • James U. Gleaton & David Han & James D. Lynch & Hon Keung Tony Ng & Fabrizio Ruggeri, 2022. "Statistical Properties of a Load-Sharing Bundle," Springer Books, in: Fiber Bundles, chapter 0, pages 65-74, Springer.
    • Handle: RePEc:spr:sprchp:978-3-031-14797-5_6
    DOI: 10.1007/978-3-031-14797-5_6
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