STRUCTURAL GLOBAL SENSITIVITY METHOD BASED ON PARTIAL DERIVATIVE WHOLE DOMAIN INTEGRAL
In view of the problems that the traditional variance-based Sobol’method had a low solving efficiency,lacked of enough robustness,and it cannot further effectively decompose and reasonably distribute the influences of the high-order cross subterms,a practical and effective structural global sensitiv...
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| Format: | Article |
| Language: | zho |
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Editorial Office of Journal of Mechanical Strength
2019-01-01
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| Series: | Jixie qiangdu |
| Subjects: | |
| Online Access: | http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2019.06.015 |
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| author | TU LongWei LIU Jie LIU GuangZhao ZHANG Zheng |
| author_facet | TU LongWei LIU Jie LIU GuangZhao ZHANG Zheng |
| author_sort | TU LongWei |
| collection | DOAJ |
| description | In view of the problems that the traditional variance-based Sobol’method had a low solving efficiency,lacked of enough robustness,and it cannot further effectively decompose and reasonably distribute the influences of the high-order cross subterms,a practical and effective structural global sensitivity method was proposed in this paper based on partial derivative whole domain integral and optimal polynomial surrogate model. Firstly,optimal surrogate model was constructed through polynomial structure-selection,which had good fitting and predictive ability,and it was convenient for direct integral operations. Then,local sensitivity method based on partial derivative was extended to a global sensitivity method by integrating partial derivatives of model variables in variable sapces. In addition,the paper redefined a more conveniently calculated sensitivity indice that can achieve effective decomposition for the high-order sensitivity indices,and the sensitivity results directly corresponded to model variables without the high-order indices,which had more practical engineering significance. Numerical example 1 shows the deficiency of Sobol’total sensitivity indices in application. Numerical example 2 illustrates the validity of the proposed method for complex high-dimensional model. Engineering example demonstrates the applicability and effectiveness of the present method for complex engineering structure problems. |
| format | Article |
| id | doaj-art-4a021367f11d40cd9b3d28220edf783e |
| institution | Kabale University |
| issn | 1001-9669 |
| language | zho |
| publishDate | 2019-01-01 |
| publisher | Editorial Office of Journal of Mechanical Strength |
| record_format | Article |
| series | Jixie qiangdu |
| spelling | doaj-art-4a021367f11d40cd9b3d28220edf783e2025-01-15T02:28:53ZzhoEditorial Office of Journal of Mechanical StrengthJixie qiangdu1001-96692019-01-01411359136430606399STRUCTURAL GLOBAL SENSITIVITY METHOD BASED ON PARTIAL DERIVATIVE WHOLE DOMAIN INTEGRALTU LongWeiLIU JieLIU GuangZhaoZHANG ZhengIn view of the problems that the traditional variance-based Sobol’method had a low solving efficiency,lacked of enough robustness,and it cannot further effectively decompose and reasonably distribute the influences of the high-order cross subterms,a practical and effective structural global sensitivity method was proposed in this paper based on partial derivative whole domain integral and optimal polynomial surrogate model. Firstly,optimal surrogate model was constructed through polynomial structure-selection,which had good fitting and predictive ability,and it was convenient for direct integral operations. Then,local sensitivity method based on partial derivative was extended to a global sensitivity method by integrating partial derivatives of model variables in variable sapces. In addition,the paper redefined a more conveniently calculated sensitivity indice that can achieve effective decomposition for the high-order sensitivity indices,and the sensitivity results directly corresponded to model variables without the high-order indices,which had more practical engineering significance. Numerical example 1 shows the deficiency of Sobol’total sensitivity indices in application. Numerical example 2 illustrates the validity of the proposed method for complex high-dimensional model. Engineering example demonstrates the applicability and effectiveness of the present method for complex engineering structure problems.http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2019.06.015Structural global sensitivityPartial derivative whole domain integralPolynomial structure-selectionThe optimal polynomialSobol’method |
| spellingShingle | TU LongWei LIU Jie LIU GuangZhao ZHANG Zheng STRUCTURAL GLOBAL SENSITIVITY METHOD BASED ON PARTIAL DERIVATIVE WHOLE DOMAIN INTEGRAL Jixie qiangdu Structural global sensitivity Partial derivative whole domain integral Polynomial structure-selection The optimal polynomial Sobol’method |
| title | STRUCTURAL GLOBAL SENSITIVITY METHOD BASED ON PARTIAL DERIVATIVE WHOLE DOMAIN INTEGRAL |
| title_full | STRUCTURAL GLOBAL SENSITIVITY METHOD BASED ON PARTIAL DERIVATIVE WHOLE DOMAIN INTEGRAL |
| title_fullStr | STRUCTURAL GLOBAL SENSITIVITY METHOD BASED ON PARTIAL DERIVATIVE WHOLE DOMAIN INTEGRAL |
| title_full_unstemmed | STRUCTURAL GLOBAL SENSITIVITY METHOD BASED ON PARTIAL DERIVATIVE WHOLE DOMAIN INTEGRAL |
| title_short | STRUCTURAL GLOBAL SENSITIVITY METHOD BASED ON PARTIAL DERIVATIVE WHOLE DOMAIN INTEGRAL |
| title_sort | structural global sensitivity method based on partial derivative whole domain integral |
| topic | Structural global sensitivity Partial derivative whole domain integral Polynomial structure-selection The optimal polynomial Sobol’method |
| url | http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2019.06.015 |
| work_keys_str_mv | AT tulongwei structuralglobalsensitivitymethodbasedonpartialderivativewholedomainintegral AT liujie structuralglobalsensitivitymethodbasedonpartialderivativewholedomainintegral AT liuguangzhao structuralglobalsensitivitymethodbasedonpartialderivativewholedomainintegral AT zhangzheng structuralglobalsensitivitymethodbasedonpartialderivativewholedomainintegral |