article

Efficient stochastic structural analysis using Guyan reduction

Authors:

H. M. Panayirci,

H. J. Pradlwarter,

G. I. SchuëllerAuthors Info & Claims

Advances in Engineering Software, Volume 42, Issue 4

Pages 187 - 196

https://doi.org/10.1016/j.advengsoft.2011.02.004

Published: 01 April 2011 Publication History

Abstract

This paper introduces the application of the Guyan reduction within the stochastic finite element (SFE) analysis, which employs a Galerkin-based Polynomial chaos (P-C) expansion formulation. It is shown that by reducing the size of the deterministic FE model, a substantial improvement in the overall computational efficiency can be achieved. An implementation exploiting the features of the proposed formulation is presented. In this regard, especially the interaction with the 3rd party FE solvers has been addressed. The suggested method has been tested on a simple grid structure and also on a large building model, where the accuracy and efficiency of the introduced approach have been quantified.

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Cited By

Zakian PKhaji NKaveh A(2017)Graph theoretical methods for efficient stochastic finite element analysis of structuresComputers and Structures10.1016/j.compstruc.2016.10.009178:C(29-46)Online publication date: 1-Jan-2017
https://dl.acm.org/doi/10.1016/j.compstruc.2016.10.009
Llau AJason LDufour FBaroth J(2015)Adaptive zooming method for the analysis of large structures with localized nonlinearitiesFinite Elements in Analysis and Design10.1016/j.finel.2015.07.011106:C(73-84)Online publication date: 15-Nov-2015
https://dl.acm.org/doi/10.1016/j.finel.2015.07.011
Patelli EMurat Panayirci HBroggi MGoller BBeaurepaire PPradlwarter HSchuëller G(2012)General purpose software for efficient uncertainty management of large finite element modelsFinite Elements in Analysis and Design10.5555/2745553.274569051:C(31-48)Online publication date: 1-Apr-2012
https://dl.acm.org/doi/10.5555/2745553.2745690
Show More Cited By

Efficient stochastic structural analysis using Guyan reduction
1. Mathematics of computing
  1. Mathematical analysis
    1. Numerical analysis

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cover image Advances in Engineering Software

Advances in Engineering Software Volume 42, Issue 4

April, 2011

100 pages

ISSN:0965-9978

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Copyright © Elsevier Ltd © 2011.

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Elsevier Science Ltd.

United Kingdom

Publication History

Published: 01 April 2011

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Cited By

Zakian PKhaji NKaveh A(2017)Graph theoretical methods for efficient stochastic finite element analysis of structuresComputers and Structures10.1016/j.compstruc.2016.10.009178:C(29-46)Online publication date: 1-Jan-2017
https://dl.acm.org/doi/10.1016/j.compstruc.2016.10.009
Llau AJason LDufour FBaroth J(2015)Adaptive zooming method for the analysis of large structures with localized nonlinearitiesFinite Elements in Analysis and Design10.1016/j.finel.2015.07.011106:C(73-84)Online publication date: 15-Nov-2015
https://dl.acm.org/doi/10.1016/j.finel.2015.07.011
Patelli EMurat Panayirci HBroggi MGoller BBeaurepaire PPradlwarter HSchuëller G(2012)General purpose software for efficient uncertainty management of large finite element modelsFinite Elements in Analysis and Design10.5555/2745553.274569051:C(31-48)Online publication date: 1-Apr-2012
https://dl.acm.org/doi/10.5555/2745553.2745690
Zuo WLi WXu TXuan SNa J(2012)A complete development process of finite element software for body-in-white structure with semi-rigid beams in .NET frameworkAdvances in Engineering Software10.1016/j.advengsoft.2011.10.00545:1(261-271)Online publication date: 1-Mar-2012
https://dl.acm.org/doi/10.1016/j.advengsoft.2011.10.005

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