Universal failure model for multi-unit systems with shared functionality

Volovoi, Vitali

doi:10.1016/j.ress.2013.05.014

Cited by 5 publications

(4 citation statements)

References 35 publications

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“…According to (18), a solution of (13) in interval ( 1 , 2 ) under initial conditions ( 1 ) = ( 1 + 0) is the function ( ) satisfying the following equality:…”

Section: The Weibull Probability Distribution Of Time To Failurementioning

confidence: 99%

“…According to (18), the differential equation under the initial condition ( 2 ) = ( 2 + 0) has the solution ( ), satisfying the equality…”

Section: The Weibull Probability Distribution Of Time To Failurementioning

confidence: 99%

“…A lot of papers are devoted to statistical analysis of the load-share parameters [15][16][17][18]. This is only a small part of many papers devoted to load-share models that talks about their importance and applicability.…”

Section: Introductionmentioning

confidence: 99%

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A Load-Share Reliability Model under the Changeable Piecewise Smooth Load

Gurov

Utkin

2014

Journal of Quality and Reliability Engineering

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A new load-share reliability model of systems under the changeable load is proposed in the paper. It is assumed that the load is a piecewise smooth function which can be regarded as an extension of the piecewise constant and continuous functions. The condition of the residual lifetime conservation, which means continuity of a cumulative distribution function of time to failure, is accepted in the proposed model. A general algorithm for computing reliability measures is provided. Simple expressions for determining the survivor functions under assumption of the Weibull probability distribution of time to failure are given. Various numerical examples illustrate the proposed model by different forms of the system load and different probability distributions of time to failure.

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“…According to (18), a solution of (13) in interval ( 1 , 2 ) under initial conditions ( 1 ) = ( 1 + 0) is the function ( ) satisfying the following equality:…”

Section: The Weibull Probability Distribution Of Time To Failurementioning

confidence: 99%

“…According to (18), the differential equation under the initial condition ( 2 ) = ( 2 + 0) has the solution ( ), satisfying the equality…”

Section: The Weibull Probability Distribution Of Time To Failurementioning

confidence: 99%

See 1 more Smart Citation

A Load-Share Reliability Model under the Changeable Piecewise Smooth Load

Gurov

Utkin

2014

Journal of Quality and Reliability Engineering

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“…Volovoi 14 proposed the so-called universal failure model for reliability modeling of the complex systems having a large number of units performing a common function. At that, the author 14 studied an interesting special case of the load-sharing model. He assumed that if failure occurs, the load is redistributed (shared) by the neighboring cells/nodes.…”

Section: Introductionmentioning

confidence: 99%

An inverse problem of the load-sharing system reliability analysis: Constructing the load function

Gurov

Utkin

2014

Proceedings of the Institution of Mechanical Engineers, Part O:

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The reliability analysis of the load-sharing systems under different behaviors of the load has been provided in this article. An inverse problem of determining the load function by having requirements concerning the system survivor function is solved. Simple and explicit expressions for computing the load function are provided under the assumption that the Weibull probability distributions of time to failure are derived. A standby system consisting of two units under the changeable load is studied. The various numerical examples illustrate the proposed models.

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Failure Propagation in Load‐Sharing Complex Systems

Volovoi¹,

Siddique

2015

Quantitative Assessments of Distributed Systems

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Universal failure model for multi-unit systems with shared functionality

Cited by 5 publications

References 35 publications

A Load-Share Reliability Model under the Changeable Piecewise Smooth Load

A Load-Share Reliability Model under the Changeable Piecewise Smooth Load

An inverse problem of the load-sharing system reliability analysis: Constructing the load function

Failure Propagation in Load‐Sharing Complex Systems

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