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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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 |
_version_ |
1725664320174424064 |