2017
DOI: 10.1007/s00158-017-1728-y
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Optimizing the design of automotive S-rail using grey relational analysis coupled with grey entropy measurement to improve crashworthiness

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Cited by 43 publications
(15 citation statements)
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“…51 Recently, a portion of studies have made innovative attempts to employ the entropy method to GRA. [54][55][56][57][58] According to the definition introduced by Wen et al, 59 the mapping function f i : [0, 1]! [0, 1] employed in entropy is obliged to fulfill three basic conditions: (a) f i (0) = 0; (b) f i (x) = f i (1 À x) and (c) f i (x) keeps monotonically increasing in the range of x 2 (0, 0:5).…”
Section: Entropy Weight Methodsmentioning
confidence: 99%
See 1 more Smart Citation
“…51 Recently, a portion of studies have made innovative attempts to employ the entropy method to GRA. [54][55][56][57][58] According to the definition introduced by Wen et al, 59 the mapping function f i : [0, 1]! [0, 1] employed in entropy is obliged to fulfill three basic conditions: (a) f i (0) = 0; (b) f i (x) = f i (1 À x) and (c) f i (x) keeps monotonically increasing in the range of x 2 (0, 0:5).…”
Section: Entropy Weight Methodsmentioning
confidence: 99%
“…51 Recently, a portion of studies have made innovative attempts to employ the entropy method to GRA. 5458…”
Section: Methodsmentioning
confidence: 99%
“…The grey theory [27] is a new strategy of the multiobjective optimization. The main idea of the grey theory is that when a multi-objective optimization is performed, the optimal solution of each single-objective optimization is as a reference sequence and the sequence is optimized as an objective sequence.…”
Section: Multi-objective Optimization Modelmentioning
confidence: 99%
“…To present precisely various materials in different parts that have superior crashworthiness and lightweight performance, various part models are analysed and compared by Hosseini-Tehrani and Nikahd. 5 Experiment and model simulation on automobiles based on various types of material are conducted by Zhou et al, 6 Cai and Wang, 7 Long, 8 and Meschut et al 9 The experimental test and simulation models are analysed and then compared to verify the accuracy of the numerical model. Therefore, the various types of materials for different parts have the potential to be adopted in improving lightweight and crashworthiness of automobiles.…”
Section: Introductionmentioning
confidence: 99%