2019
DOI: 10.1007/s11012-019-00992-7
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Robust optimization and uncertainty quantification in the nonlinear mechanics of an elevator brake system

Abstract: This paper deals with nonlinear mechanics of an elevator brake system subjected to uncertainties. A deterministic model that relates the braking force with uncertain parameters is deduced from mechanical equilibrium conditions. In order to take into account parameters variabilities, a parametric probabilistic approach is employed. In this stochastic formalism, the uncertain parameters are modeled as random variables, with distributions specified by the maximum entropy principle. The uncertainties are propagate… Show more

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Cited by 16 publications
(12 citation statements)
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“…The pursued value gets stabilized and is treated as an expected value, and the analysis is considered to be concurrent. A loose criteria of convergence (i.e., high tolerance of more than 10%) may lead to imprecise results, while a too low tolerance of convergence might cause an unjustified increase of "computation costs" (computation time, equipment requirements) needed to obtain the results to an "excessive" accuracy degree that does not add any significant changes to the value and the very analysis of results [12].…”
Section: Digitizationmentioning
confidence: 99%
See 1 more Smart Citation
“…The pursued value gets stabilized and is treated as an expected value, and the analysis is considered to be concurrent. A loose criteria of convergence (i.e., high tolerance of more than 10%) may lead to imprecise results, while a too low tolerance of convergence might cause an unjustified increase of "computation costs" (computation time, equipment requirements) needed to obtain the results to an "excessive" accuracy degree that does not add any significant changes to the value and the very analysis of results [12].…”
Section: Digitizationmentioning
confidence: 99%
“…In publications [12][13][14], the authors presented the results of their own mathematical and statistical analysis of results obtained during the emergency braking of a lift, including time-lag values and braking distance having an impact on the durability and life of the lift guide rails.…”
Section: Introductionmentioning
confidence: 99%
“…In many practical situations the real stochastic model of noise is unknown. In that case, the maximum entropy principle is helpful in creating realistic models [37,40].…”
Section: Stochastic Model Of Noisementioning
confidence: 99%
“…Lonkwic et al (2016a) studied the impact of variable operating conditions on the value of braking process delay for progressive gears. Wolszczak et al (2019) studied the nonlinear mechanics of an elevator brake system subjected to uncertainties. Lonkwic et al (2016b) conducted independent tests on the impact of progressive gears in short distance transportation devices due to geometry.…”
Section: Introductionmentioning
confidence: 99%