research-article

Stochastic isogeometric analysis method for plate structures with random uncertainty

Authors:

Zhan KangAuthors Info & Claims

Volume 74, Issue C

https://doi.org/10.1016/j.cagd.2019.101772

Published: 01 October 2019 Publication History

Highlights

•

Stochastic isogeometric analysis method for random responses of plates is proposed.

•

Benchmark solutions of stochastic responses for rectangular plate are achieved.

•

Effects of correlation lengths, boundary conditions and loading cases are scrutinized.

•

The proposed stochastic IGA presents high efficiency and acceptable accuracy.

Abstract

This paper proposes the stochastic isogeometric analysis (IGA) method in conjunction with the perturbation technique for random response analysis of plate structures. Specifically, the benchmark solutions of stochastic deflection responses for rectangular plate are achieved. Firstly, the random field is represented by Karhunen-Loève expansion, and the corresponding analytical formulas of the Fredholm integral equation for rectangular plate are illustrated to obtain the benchmark stochastic responses. Subsequently, the stochastic IGA framework is suggested by combining isogeometric analysis with the first-order perturbation technique, especially for the bending problems of circular Mindlin plates and Kirchhoff plates. Moreover, the first two moments of stochastic responses of plate structures are formulated. Finally, the efficiency and applicability of the stochastic IGA method are demonstrated by three numerical examples. To compare with the efficiency and accuracy of proposed method, the mean values, standard deviations and coefficients of variation of stochastic responses are calculated by Monte Carlo simulation. For the rectangular and circular Kirchhoff thin plates, the effects of different correlation lengths, boundary conditions and loading cases on stochastic responses and uncertainty propagation are scrutinized. It is also indicated that the proposed stochastic IGA method presents high efficiency and acceptable accuracy of random structural analysis of plates.

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Cited By

Hashemian ASliusarenko HRemogna SBarrera DBartoň M(2023)Solving boundary value problems via the Nyström method using spline Gauss rulesComputers & Mathematics with Applications10.1016/j.camwa.2023.04.035143:C(33-47)Online publication date: 1-Aug-2023
https://dl.acm.org/doi/10.1016/j.camwa.2023.04.035

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Stochastic isogeometric analysis method for plate structures with random uncertainty

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Published In

cover image Computer Aided Geometric Design

Computer Aided Geometric Design Volume 74, Issue C

Oct 2019

142 pages

ISSN:0167-8396

Issue’s Table of Contents

Elsevier B.V.

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Elsevier Science Publishers B. V.

Netherlands

Publication History

Published: 01 October 2019

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Cited By

Hashemian ASliusarenko HRemogna SBarrera DBartoň M(2023)Solving boundary value problems via the Nyström method using spline Gauss rulesComputers & Mathematics with Applications10.1016/j.camwa.2023.04.035143:C(33-47)Online publication date: 1-Aug-2023
https://dl.acm.org/doi/10.1016/j.camwa.2023.04.035

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