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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Editorial Office of Journal of Mechanical Strength
2022-01-01
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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 |