UNCERTAINTY EVALUATION METHOD FOR NONLINEAR SYSTEM TEST BASED ON POLYNOMIAL CHAOS EXPANSION

The uncertainty analysis of test results of nonlinear system shows the dispersion of test results. In this paper, an evaluation method of test uncertainty of nonlinear system based on polynomial chaos expansion is suggested. The evaluation method is compared with the method specified in the national...

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Main Authors: YU HuiJie, ZHU YueChen, WANG HaiHua, WANG ShenLong, XU ShiPeng, DING XiaoHong
Format: Article
Language:zho
Published: Editorial Office of Journal of Mechanical Strength 2022-01-01
Series:Jixie qiangdu
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Online Access:http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2022.04.002
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author YU HuiJie
ZHU YueChen
WANG HaiHua
WANG ShenLong
XU ShiPeng
DING XiaoHong
author_facet YU HuiJie
ZHU YueChen
WANG HaiHua
WANG ShenLong
XU ShiPeng
DING XiaoHong
author_sort YU HuiJie
collection DOAJ
description The uncertainty analysis of test results of nonlinear system shows the dispersion of test results. In this paper, an evaluation method of test uncertainty of nonlinear system based on polynomial chaos expansion is suggested. The evaluation method is compared with the method specified in the national standard Monte Carlo Method for Evaluation of Measurement Uncertainty through Ishigami test model. The results show that the suggested method has higher accuracy and efficiency. Taking the seat belt anchorages test as an example, the surrogate model of the test is established by polynomial chaos expansion method, and the uncertainty evaluation of the test is realized. To solve the problem of insufficient sample size, the improved hyperbolic truncation technique and Sobol sensitivity analysis based on polynomial chaos expansion model are used to simplify the model. The results show that the two simplified methods can significantly reduce the demand for samples size. The results show that polynomial chaos expansion and its simplification can be widely applied to the uncertainty analysis for various product tests.
format Article
id doaj-art-d49db3681fa14a0b98fcaf0d1404c575
institution Kabale University
issn 1001-9669
language zho
publishDate 2022-01-01
publisher Editorial Office of Journal of Mechanical Strength
record_format Article
series Jixie qiangdu
spelling doaj-art-d49db3681fa14a0b98fcaf0d1404c5752025-01-15T02:24:08ZzhoEditorial Office of Journal of Mechanical StrengthJixie qiangdu1001-96692022-01-014477278029914278UNCERTAINTY EVALUATION METHOD FOR NONLINEAR SYSTEM TEST BASED ON POLYNOMIAL CHAOS EXPANSIONYU HuiJieZHU YueChenWANG HaiHuaWANG ShenLongXU ShiPengDING XiaoHongThe uncertainty analysis of test results of nonlinear system shows the dispersion of test results. In this paper, an evaluation method of test uncertainty of nonlinear system based on polynomial chaos expansion is suggested. The evaluation method is compared with the method specified in the national standard Monte Carlo Method for Evaluation of Measurement Uncertainty through Ishigami test model. The results show that the suggested method has higher accuracy and efficiency. Taking the seat belt anchorages test as an example, the surrogate model of the test is established by polynomial chaos expansion method, and the uncertainty evaluation of the test is realized. To solve the problem of insufficient sample size, the improved hyperbolic truncation technique and Sobol sensitivity analysis based on polynomial chaos expansion model are used to simplify the model. The results show that the two simplified methods can significantly reduce the demand for samples size. The results show that polynomial chaos expansion and its simplification can be widely applied to the uncertainty analysis for various product tests.http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2022.04.002Measurement uncertaintyPolynomial chaos expansionSafety-belt anchorages testNonlinear system test
spellingShingle YU HuiJie
ZHU YueChen
WANG HaiHua
WANG ShenLong
XU ShiPeng
DING XiaoHong
UNCERTAINTY EVALUATION METHOD FOR NONLINEAR SYSTEM TEST BASED ON POLYNOMIAL CHAOS EXPANSION
Jixie qiangdu
Measurement uncertainty
Polynomial chaos expansion
Safety-belt anchorages test
Nonlinear system test
title UNCERTAINTY EVALUATION METHOD FOR NONLINEAR SYSTEM TEST BASED ON POLYNOMIAL CHAOS EXPANSION
title_full UNCERTAINTY EVALUATION METHOD FOR NONLINEAR SYSTEM TEST BASED ON POLYNOMIAL CHAOS EXPANSION
title_fullStr UNCERTAINTY EVALUATION METHOD FOR NONLINEAR SYSTEM TEST BASED ON POLYNOMIAL CHAOS EXPANSION
title_full_unstemmed UNCERTAINTY EVALUATION METHOD FOR NONLINEAR SYSTEM TEST BASED ON POLYNOMIAL CHAOS EXPANSION
title_short UNCERTAINTY EVALUATION METHOD FOR NONLINEAR SYSTEM TEST BASED ON POLYNOMIAL CHAOS EXPANSION
title_sort uncertainty evaluation method for nonlinear system test based on polynomial chaos expansion
topic Measurement uncertainty
Polynomial chaos expansion
Safety-belt anchorages test
Nonlinear system test
url http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2022.04.002
work_keys_str_mv AT yuhuijie uncertaintyevaluationmethodfornonlinearsystemtestbasedonpolynomialchaosexpansion
AT zhuyuechen uncertaintyevaluationmethodfornonlinearsystemtestbasedonpolynomialchaosexpansion
AT wanghaihua uncertaintyevaluationmethodfornonlinearsystemtestbasedonpolynomialchaosexpansion
AT wangshenlong uncertaintyevaluationmethodfornonlinearsystemtestbasedonpolynomialchaosexpansion
AT xushipeng uncertaintyevaluationmethodfornonlinearsystemtestbasedonpolynomialchaosexpansion
AT dingxiaohong uncertaintyevaluationmethodfornonlinearsystemtestbasedonpolynomialchaosexpansion