Non-probabilistic parameter sensitivity analysis for structures based on ellipsoidal model

Sensitivity analysis plays a crucial role in identifying the structure important parameters. In this article, a new non-probabilistic parameter sensitivity analysis method is proposed according to the ellipsoidal model. Meanwhile, an analytical solution of non-probabilistic parameter sensitivity ana...

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Main Authors: Feng Zhang, Kailiang Luo, Weihao Zhai, Shiwang Tan, Yameng Wang
Format: Article
Language:English
Published: SAGE Publishing 2018-08-01
Series:Advances in Mechanical Engineering
Online Access:https://doi.org/10.1177/1687814018782362
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author Feng Zhang
Kailiang Luo
Weihao Zhai
Shiwang Tan
Yameng Wang
author_facet Feng Zhang
Kailiang Luo
Weihao Zhai
Shiwang Tan
Yameng Wang
author_sort Feng Zhang
collection DOAJ
description Sensitivity analysis plays a crucial role in identifying the structure important parameters. In this article, a new non-probabilistic parameter sensitivity analysis method is proposed according to the ellipsoidal model. Meanwhile, an analytical solution of non-probabilistic parameter sensitivity analysis method based on the ellipsoidal model is derived for linear performance function, as well as an approximately analytical solution is obtained for nonlinear performance function using the first-order Taylor expansion to linearize the functions in design point. Finally, the proposed method is illustrated by three examples, which shows that it is reasonable and applicable.
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spelling doaj.art-3a0dd6b071de4ddc908e074872e909b32022-12-21T23:58:24ZengSAGE PublishingAdvances in Mechanical Engineering1687-81402018-08-011010.1177/1687814018782362Non-probabilistic parameter sensitivity analysis for structures based on ellipsoidal modelFeng Zhang0Kailiang Luo1Weihao Zhai2Shiwang Tan3Yameng Wang4School of Mechanics, Civil Engineering and Architecture, Northwestern Polytechnical University, Xi’an, ChinaSchool of Mechanics, Civil Engineering and Architecture, Northwestern Polytechnical University, Xi’an, ChinaShanghai Aerospace Equipments Manufacturer, Shanghai, ChinaSchool of Mechanics, Civil Engineering and Architecture, Northwestern Polytechnical University, Xi’an, ChinaSchool of Mechanics, Civil Engineering and Architecture, Northwestern Polytechnical University, Xi’an, ChinaSensitivity analysis plays a crucial role in identifying the structure important parameters. In this article, a new non-probabilistic parameter sensitivity analysis method is proposed according to the ellipsoidal model. Meanwhile, an analytical solution of non-probabilistic parameter sensitivity analysis method based on the ellipsoidal model is derived for linear performance function, as well as an approximately analytical solution is obtained for nonlinear performance function using the first-order Taylor expansion to linearize the functions in design point. Finally, the proposed method is illustrated by three examples, which shows that it is reasonable and applicable.https://doi.org/10.1177/1687814018782362
spellingShingle Feng Zhang
Kailiang Luo
Weihao Zhai
Shiwang Tan
Yameng Wang
Non-probabilistic parameter sensitivity analysis for structures based on ellipsoidal model
Advances in Mechanical Engineering
title Non-probabilistic parameter sensitivity analysis for structures based on ellipsoidal model
title_full Non-probabilistic parameter sensitivity analysis for structures based on ellipsoidal model
title_fullStr Non-probabilistic parameter sensitivity analysis for structures based on ellipsoidal model
title_full_unstemmed Non-probabilistic parameter sensitivity analysis for structures based on ellipsoidal model
title_short Non-probabilistic parameter sensitivity analysis for structures based on ellipsoidal model
title_sort non probabilistic parameter sensitivity analysis for structures based on ellipsoidal model
url https://doi.org/10.1177/1687814018782362
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AT weihaozhai nonprobabilisticparametersensitivityanalysisforstructuresbasedonellipsoidalmodel
AT shiwangtan nonprobabilisticparametersensitivityanalysisforstructuresbasedonellipsoidalmodel
AT yamengwang nonprobabilisticparametersensitivityanalysisforstructuresbasedonellipsoidalmodel