Stochastic interval analysis for structural natural frequencies based on stochastic hybrid perturbation edge-based smoothing finite element method

F. Wu; M. Hu; K. Chen; L. Y. Yao; Z. G. Ju; X. Sun

doi:10.1016/j.enganabound.2019.01.020

Stochastic interval analysis for structural natural frequencies based on stochastic hybrid perturbation edge-based smoothing finite element method

F. Wu, M. Hu, K. Chen, L. Y. Yao, Z. G. Ju, X. Sun

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

Realistically calculating of natural frequencies is crucial for studying dynamical characteristics of structures in engineering. In this paper, the gradient smoothing technique is first applied into the conventional finite element method (named ES-FEM), to improve the accuracy of the deterministic calculation of natural frequencies. Then, the hybrid random and interval uncertain parameters are introduced into the proposed ES-FEM based on hybrid stochastic and interval perturbation method. Expressions for the mean value and variance of natural frequencies are derived by combining the random interval perturbation method and the random interval moment method. The upper and lower bounds of mean value and variance of natural frequencies are calculated based on hybrid perturbation vertex method. The proposed method (denoted ESHPVM) is compared with the different methods. The high accuracy and efficiency of the proposed methods are verified by two numerical examples.

Original language	English
Pages (from-to)	41-50
Number of pages	10
Journal	Engineering Analysis with Boundary Elements
Volume	103
DOIs	https://doi.org/10.1016/j.enganabound.2019.01.020
State	Published - Jun 2019

Bibliographical note

Publisher Copyright:
© 2019 Elsevier Ltd

Funding

The first author wishes to thank the support of the National Natural Science Foundation of China (NSFC) (Grant no. 11702226 ) and the support of the Chongqing Science and Technology Commission (CSTC) (Grant no. 2016jcyjA0176 ) and Fundamental Research Funds for the Central Universities (Grant no. XDJK2017B060 ) and China Postdoctoral Science Foundation (Grant no. 2018M643827 ).

Funders	Funder number
National Natural Science Foundation of China (NSFC)	11702226
China Postdoctoral Science Foundation	2018M643827
Chongqing Science and Technology Commission	2016jcyjA0176
Fundamental Research Funds for the Central Universities	XDJK2017B060

Keywords

Edge-based smoothing technique
FEM
First-order random interval perturbation method
Natural frequencies
Stochastic perturbation technique

ASJC Scopus subject areas

Analysis
General Engineering
Computational Mathematics
Applied Mathematics

Access to Document

10.1016/j.enganabound.2019.01.020

Cite this

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title = "Stochastic interval analysis for structural natural frequencies based on stochastic hybrid perturbation edge-based smoothing finite element method",

abstract = "Realistically calculating of natural frequencies is crucial for studying dynamical characteristics of structures in engineering. In this paper, the gradient smoothing technique is first applied into the conventional finite element method (named ES-FEM), to improve the accuracy of the deterministic calculation of natural frequencies. Then, the hybrid random and interval uncertain parameters are introduced into the proposed ES-FEM based on hybrid stochastic and interval perturbation method. Expressions for the mean value and variance of natural frequencies are derived by combining the random interval perturbation method and the random interval moment method. The upper and lower bounds of mean value and variance of natural frequencies are calculated based on hybrid perturbation vertex method. The proposed method (denoted ESHPVM) is compared with the different methods. The high accuracy and efficiency of the proposed methods are verified by two numerical examples.",

keywords = "Edge-based smoothing technique, FEM, First-order random interval perturbation method, Natural frequencies, Stochastic perturbation technique",

author = "F. Wu and M. Hu and K. Chen and Yao, \{L. Y.\} and Ju, \{Z. G.\} and X. Sun",

note = "Publisher Copyright: {\textcopyright} 2019 Elsevier Ltd",

year = "2019",

month = jun,

doi = "10.1016/j.enganabound.2019.01.020",

language = "English",

volume = "103",

pages = "41--50",

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TY - JOUR

T1 - Stochastic interval analysis for structural natural frequencies based on stochastic hybrid perturbation edge-based smoothing finite element method

AU - Wu, F.

AU - Hu, M.

AU - Chen, K.

AU - Yao, L. Y.

AU - Ju, Z. G.

AU - Sun, X.

PY - 2019/6

Y1 - 2019/6

N2 - Realistically calculating of natural frequencies is crucial for studying dynamical characteristics of structures in engineering. In this paper, the gradient smoothing technique is first applied into the conventional finite element method (named ES-FEM), to improve the accuracy of the deterministic calculation of natural frequencies. Then, the hybrid random and interval uncertain parameters are introduced into the proposed ES-FEM based on hybrid stochastic and interval perturbation method. Expressions for the mean value and variance of natural frequencies are derived by combining the random interval perturbation method and the random interval moment method. The upper and lower bounds of mean value and variance of natural frequencies are calculated based on hybrid perturbation vertex method. The proposed method (denoted ESHPVM) is compared with the different methods. The high accuracy and efficiency of the proposed methods are verified by two numerical examples.

AB - Realistically calculating of natural frequencies is crucial for studying dynamical characteristics of structures in engineering. In this paper, the gradient smoothing technique is first applied into the conventional finite element method (named ES-FEM), to improve the accuracy of the deterministic calculation of natural frequencies. Then, the hybrid random and interval uncertain parameters are introduced into the proposed ES-FEM based on hybrid stochastic and interval perturbation method. Expressions for the mean value and variance of natural frequencies are derived by combining the random interval perturbation method and the random interval moment method. The upper and lower bounds of mean value and variance of natural frequencies are calculated based on hybrid perturbation vertex method. The proposed method (denoted ESHPVM) is compared with the different methods. The high accuracy and efficiency of the proposed methods are verified by two numerical examples.

KW - Edge-based smoothing technique

KW - FEM

KW - First-order random interval perturbation method

KW - Natural frequencies

KW - Stochastic perturbation technique

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SN - 0955-7997

VL - 103

SP - 41

EP - 50

JO - Engineering Analysis with Boundary Elements

JF - Engineering Analysis with Boundary Elements

ER -

Stochastic interval analysis for structural natural frequencies based on stochastic hybrid perturbation edge-based smoothing finite element method

Abstract

Bibliographical note

Funding

Keywords

ASJC Scopus subject areas

Access to Document

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