A Copula-Based and Monte Carlo Sampling Approach for Structural Dynamics Model Updating with Interval Uncertainty

As the uncertainty is widely existent in the engineering structure, it is necessary to study the finite element (FE) modeling and updating in consideration of the uncertainty. A FE model updating approach in structural dynamics with interval uncertain parameters is proposed in this work. Firstly, th...

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Main Authors:	Xueqian Chen, Zhanpeng Shen, Xin’en Liu
Format:	Article
Language:	English
Published:	Hindawi Limited 2018-01-01
Series:	Shock and Vibration
Online Access:	http://dx.doi.org/10.1155/2018/3958016

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spelling	doaj-2e1c8c178a0747be909837061cdc30a42020-11-24T23:15:07ZengHindawi LimitedShock and Vibration1070-96221875-92032018-01-01201810.1155/2018/39580163958016A Copula-Based and Monte Carlo Sampling Approach for Structural Dynamics Model Updating with Interval UncertaintyXueqian Chen0Zhanpeng Shen1Xin’en Liu2Institute of Systems Engineering, China Academy of Engineering Physics (CAEP), Mianyang Sichuan 621999, ChinaInstitute of Systems Engineering, China Academy of Engineering Physics (CAEP), Mianyang Sichuan 621999, ChinaInstitute of Systems Engineering, China Academy of Engineering Physics (CAEP), Mianyang Sichuan 621999, ChinaAs the uncertainty is widely existent in the engineering structure, it is necessary to study the finite element (FE) modeling and updating in consideration of the uncertainty. A FE model updating approach in structural dynamics with interval uncertain parameters is proposed in this work. Firstly, the mathematical relationship between the updating parameters and the output interesting qualities is created based on the copula approach and the vast samples of inputs and outputs are obtained by the Monte Carlo (MC) sampling technology according to the copula model. Secondly, the samples of updating parameters are rechosen by combining the copula model and the experiment intervals of the interesting qualities. Next, 95% confidence intervals of updating parameters are calculated by the nonparameter kernel density estimation (KDE) approach, which is regarded as the intervals of updating parameters. Lastly, the proposed approach is validated in a two degree-of-freedom mass-spring system, simple plates, and the transport mirror system. The updating results evidently demonstrate the feasibility and reliability of this approach.http://dx.doi.org/10.1155/2018/3958016
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Xueqian Chen Zhanpeng Shen Xin’en Liu
spellingShingle	Xueqian Chen Zhanpeng Shen Xin’en Liu A Copula-Based and Monte Carlo Sampling Approach for Structural Dynamics Model Updating with Interval Uncertainty Shock and Vibration
author_facet	Xueqian Chen Zhanpeng Shen Xin’en Liu
author_sort	Xueqian Chen
title	A Copula-Based and Monte Carlo Sampling Approach for Structural Dynamics Model Updating with Interval Uncertainty
title_short	A Copula-Based and Monte Carlo Sampling Approach for Structural Dynamics Model Updating with Interval Uncertainty
title_full	A Copula-Based and Monte Carlo Sampling Approach for Structural Dynamics Model Updating with Interval Uncertainty
title_fullStr	A Copula-Based and Monte Carlo Sampling Approach for Structural Dynamics Model Updating with Interval Uncertainty
title_full_unstemmed	A Copula-Based and Monte Carlo Sampling Approach for Structural Dynamics Model Updating with Interval Uncertainty
title_sort	copula-based and monte carlo sampling approach for structural dynamics model updating with interval uncertainty
publisher	Hindawi Limited
series	Shock and Vibration
issn	1070-9622 1875-9203
publishDate	2018-01-01
description	As the uncertainty is widely existent in the engineering structure, it is necessary to study the finite element (FE) modeling and updating in consideration of the uncertainty. A FE model updating approach in structural dynamics with interval uncertain parameters is proposed in this work. Firstly, the mathematical relationship between the updating parameters and the output interesting qualities is created based on the copula approach and the vast samples of inputs and outputs are obtained by the Monte Carlo (MC) sampling technology according to the copula model. Secondly, the samples of updating parameters are rechosen by combining the copula model and the experiment intervals of the interesting qualities. Next, 95% confidence intervals of updating parameters are calculated by the nonparameter kernel density estimation (KDE) approach, which is regarded as the intervals of updating parameters. Lastly, the proposed approach is validated in a two degree-of-freedom mass-spring system, simple plates, and the transport mirror system. The updating results evidently demonstrate the feasibility and reliability of this approach.
url	http://dx.doi.org/10.1155/2018/3958016
work_keys_str_mv	AT xueqianchen acopulabasedandmontecarlosamplingapproachforstructuraldynamicsmodelupdatingwithintervaluncertainty AT zhanpengshen acopulabasedandmontecarlosamplingapproachforstructuraldynamicsmodelupdatingwithintervaluncertainty AT xinenliu acopulabasedandmontecarlosamplingapproachforstructuraldynamicsmodelupdatingwithintervaluncertainty AT xueqianchen copulabasedandmontecarlosamplingapproachforstructuraldynamicsmodelupdatingwithintervaluncertainty AT zhanpengshen copulabasedandmontecarlosamplingapproachforstructuraldynamicsmodelupdatingwithintervaluncertainty AT xinenliu copulabasedandmontecarlosamplingapproachforstructuraldynamicsmodelupdatingwithintervaluncertainty
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A Copula-Based and Monte Carlo Sampling Approach for Structural Dynamics Model Updating with Interval Uncertainty

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