# Adaptive modeling of reliability properties for control and supervision purposes

Kai-Uwe Dettmann; Dirk Söffker

International Journal of Applied Mathematics and Computer Science (2011)

- Volume: 21, Issue: 3, page 479-486
- ISSN: 1641-876X

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topKai-Uwe Dettmann, and Dirk Söffker. "Adaptive modeling of reliability properties for control and supervision purposes." International Journal of Applied Mathematics and Computer Science 21.3 (2011): 479-486. <http://eudml.org/doc/208062>.

@article{Kai2011,

abstract = {Modeling of reliability characteristics typically assumes that components and systems fail if a certain individual damage level is exceeded. Every (mechanical) system damage increases irreversibly due to employed loading and (mechanical) stress, respectively. The main issue of damage estimation is adequate determination of the actual state-of-damage. Several mathematical modeling approaches are known in the literature, focusing on the task of how loading effects damage progression (e.g., Wöhler, 1870) for wear processes. Those models are only valid for specific loading conditions, a priori assumptions, set points, etc. This contribution proposes a general model, covering adequately the deterioration of a set of comparable systems under comparable loading. The main goal of this contribution is to derive the loading-damage connection directly from observation without assuming any damage models at the outset. Moreover, the connection is not investigated in detail (e.g., to examine the changes in material, etc.) but only approximated with a probabilistic approach. The idea is subdivided into two phases: A problem-specific relation between loading applied (to a structure, which contributes to the stress) and failure is derived from simulation, where a probabilistic approach only assumes a distribution function. Subsequently, an adequate general model is set up to describe deterioration progression. The scheme will be shown through simulation-based results and can be used for estimation of the remaining useful life and predictive maintenance/control.},

author = {Kai-Uwe Dettmann, Dirk Söffker},

journal = {International Journal of Applied Mathematics and Computer Science},

keywords = {reliability; parameter estimation; damage accumulation; probabilistic simulation},

language = {eng},

number = {3},

pages = {479-486},

title = {Adaptive modeling of reliability properties for control and supervision purposes},

url = {http://eudml.org/doc/208062},

volume = {21},

year = {2011},

}

TY - JOUR

AU - Kai-Uwe Dettmann

AU - Dirk Söffker

TI - Adaptive modeling of reliability properties for control and supervision purposes

JO - International Journal of Applied Mathematics and Computer Science

PY - 2011

VL - 21

IS - 3

SP - 479

EP - 486

AB - Modeling of reliability characteristics typically assumes that components and systems fail if a certain individual damage level is exceeded. Every (mechanical) system damage increases irreversibly due to employed loading and (mechanical) stress, respectively. The main issue of damage estimation is adequate determination of the actual state-of-damage. Several mathematical modeling approaches are known in the literature, focusing on the task of how loading effects damage progression (e.g., Wöhler, 1870) for wear processes. Those models are only valid for specific loading conditions, a priori assumptions, set points, etc. This contribution proposes a general model, covering adequately the deterioration of a set of comparable systems under comparable loading. The main goal of this contribution is to derive the loading-damage connection directly from observation without assuming any damage models at the outset. Moreover, the connection is not investigated in detail (e.g., to examine the changes in material, etc.) but only approximated with a probabilistic approach. The idea is subdivided into two phases: A problem-specific relation between loading applied (to a structure, which contributes to the stress) and failure is derived from simulation, where a probabilistic approach only assumes a distribution function. Subsequently, an adequate general model is set up to describe deterioration progression. The scheme will be shown through simulation-based results and can be used for estimation of the remaining useful life and predictive maintenance/control.

LA - eng

KW - reliability; parameter estimation; damage accumulation; probabilistic simulation

UR - http://eudml.org/doc/208062

ER -

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