Statistical Properties of a Load-Sharing Bundle

James U. Gleaton (), David Han, James D. Lynch, Hon Keung Tony Ng and Fabrizio Ruggeri
Additional contact information
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

Chapter Chapter 6 in Fiber Bundles, 2022, pp 65-74 from Springer

Abstract: 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.

Date: 2022
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DOI: 10.1007/978-3-031-14797-5_6

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