2017
DOI: 10.1016/j.fss.2017.07.006
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Uncertainty quantification of squeal instability under two fuzzy-interval cases

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Cited by 23 publications
(14 citation statements)
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“…In the future, a comparative study based on several cases should be developed. A comparison between the approaches and results with the works of the diode theory [19] or the interval theory [20,21] should also be considered.…”
Section: Resultsmentioning
confidence: 99%
“…In the future, a comparative study based on several cases should be developed. A comparison between the approaches and results with the works of the diode theory [19] or the interval theory [20,21] should also be considered.…”
Section: Resultsmentioning
confidence: 99%
“…This proposition is not an equivalence, as can be observed by taking [A, 7,9) , (10, 13,16)] T . It is the case that [(1, 2, 3) , (7, 9,11)] T ≤ [(5, 7,9) , (10, 13,16)…”
Section: Inequality Relationship: the Lattice (Ifs ≤)mentioning
confidence: 97%
“…In some studies, we can also find the concept of fuzzy-boundary interval [4][5][6][7]. In this case, the uncertain parameters of structures are treated as interval variables, but the intervals, instead of having two real (determined) bounds, the lower and upper bounds are considered to be fuzzy numbers.…”
Section: Introductionmentioning
confidence: 99%
“…The membership function is utilized to describe the uncertain parameters using fuzzy theory [13]. A unified method was developed for the uncertainty quantification of dis brake squeal for two fuzzy-interval cases, while the unified uncertain response was computed with the aid of the combination of level-cut strategy, Taylor series expansion, subinterval analysis and Monte Carlo simulation [14]. Both probability distribution function and membership function need a lot of data, however, the engineering problems have finite data [15].…”
Section: Introductionmentioning
confidence: 99%