NURBS-Based Collocation Methods for the Structural Analysis of Shells of Revolution

In this work we present a collocation method for the structural analysis of shells of revolution based on Non-Uniform Rational B-Spline (NURBS) interpolation. The method is based on the strong formulation of the equilibrium equations according to Reissner-Mindlin theory, with Fourier series expansio...

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Main Authors: Maria Laura De Bellis, Edoardo Artioli
Format: Article
Language:English
Published: MDPI AG 2016-03-01
Series:Metals
Subjects:
Online Access:http://www.mdpi.com/2075-4701/6/3/68
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spelling doaj-a3a3ac244964400b8f9d812d3ce46a2b2020-11-24T22:52:51ZengMDPI AGMetals2075-47012016-03-01636810.3390/met6030068met6030068NURBS-Based Collocation Methods for the Structural Analysis of Shells of RevolutionMaria Laura De Bellis0Edoardo Artioli1Department of Innovation Engineering, Università del Salento, via per Monteroni, 73199 Lecce, ItalyDepartment of Civil Engineering and Computer Science, University of Rome “Tor Vergata”, via del Politecnico 1, 00133 Rome, ItalyIn this work we present a collocation method for the structural analysis of shells of revolution based on Non-Uniform Rational B-Spline (NURBS) interpolation. The method is based on the strong formulation of the equilibrium equations according to Reissner-Mindlin theory, with Fourier series expansion of dependent variables, which makes the problem 1D. Several numerical tests validate convergence, accuracy, and robustness of the proposed methodology, and its feasibility as a tool for the analysis and design of complex shell structures.http://www.mdpi.com/2075-4701/6/3/68shell of revolutioncollocationNURBSisogeometricReissner-Mindlin
collection DOAJ
language English
format Article
sources DOAJ
author Maria Laura De Bellis
Edoardo Artioli
spellingShingle Maria Laura De Bellis
Edoardo Artioli
NURBS-Based Collocation Methods for the Structural Analysis of Shells of Revolution
Metals
shell of revolution
collocation
NURBS
isogeometric
Reissner-Mindlin
author_facet Maria Laura De Bellis
Edoardo Artioli
author_sort Maria Laura De Bellis
title NURBS-Based Collocation Methods for the Structural Analysis of Shells of Revolution
title_short NURBS-Based Collocation Methods for the Structural Analysis of Shells of Revolution
title_full NURBS-Based Collocation Methods for the Structural Analysis of Shells of Revolution
title_fullStr NURBS-Based Collocation Methods for the Structural Analysis of Shells of Revolution
title_full_unstemmed NURBS-Based Collocation Methods for the Structural Analysis of Shells of Revolution
title_sort nurbs-based collocation methods for the structural analysis of shells of revolution
publisher MDPI AG
series Metals
issn 2075-4701
publishDate 2016-03-01
description In this work we present a collocation method for the structural analysis of shells of revolution based on Non-Uniform Rational B-Spline (NURBS) interpolation. The method is based on the strong formulation of the equilibrium equations according to Reissner-Mindlin theory, with Fourier series expansion of dependent variables, which makes the problem 1D. Several numerical tests validate convergence, accuracy, and robustness of the proposed methodology, and its feasibility as a tool for the analysis and design of complex shell structures.
topic shell of revolution
collocation
NURBS
isogeometric
Reissner-Mindlin
url http://www.mdpi.com/2075-4701/6/3/68
work_keys_str_mv AT marialauradebellis nurbsbasedcollocationmethodsforthestructuralanalysisofshellsofrevolution
AT edoardoartioli nurbsbasedcollocationmethodsforthestructuralanalysisofshellsofrevolution
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