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Nagata Patch Interpolation Algorithms: Strategies towards Sheet Metal Forming Tools Description in CAE - Couverture souple

Neto, Diogo; Oliveira, Marta; Menezes, Luís

 
9783639301588: Nagata Patch Interpolation Algorithms: Strategies towards Sheet Metal Forming Tools Description in CAE
Couverture souple
ISBN 10 : 3639301587 ISBN 13 : 9783639301588
Editeur : VDM Verlag Dr. Müller, 2010

Synopsis

Surface description accuracy is of paramount importance when modelling contact problems. However, most FEM researchers still resort to polyhedral models to describe contact surfaces, which can oversimplify the original system by neglecting the curvature. To try to bridge this gap between CAD and CAE models, Nagata (2005) proposed a simple algorithm for interpolating discretized surfaces and recover the original geometry. In this work the Nagata patches algorithms are applied to interpolate polyhedral meshes of simple geometries (cylinder, sphere and torus), using the normal vector provided by the analytical functions to each node. The use of triangular or quadrilateral Nagata patches is compared, both in terms of algorithm efficiency and robustness. The interpolation algorithms are also applied using different normal vectors approximations, to analyse the influence of the normal vector accuracy in the Nagata interpolation accuracy. Tools for Nagata patch visualization and qualitative and quantitative analysis are also presented. Finally, some guidelines for polyhedral mesh generation are proposed, in order to render accurate Nagata patch interpolations.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

Surface description accuracy is of paramount importance when modelling contact problems. However, most FEM researchers still resort to polyhedral models to describe contact surfaces, which can oversimplify the original system by neglecting the curvature. To try to bridge this gap between CAD and CAE models, Nagata (2005) proposed a simple algorithm for interpolating discretized surfaces and recover the original geometry. In this work the Nagata patches algorithms are applied to interpolate polyhedral meshes of simple geometries (cylinder, sphere and torus), using the normal vector provided by the analytical functions to each node. The use of triangular or quadrilateral Nagata patches is compared, both in terms of algorithm efficiency and robustness. The interpolation algorithms are also applied using different normal vectors approximations, to analyse the influence of the normal vector accuracy in the Nagata interpolation accuracy. Tools for Nagata patch visualization and qualitative and quantitative analysis are also presented. Finally, some guidelines for polyhedral mesh generation are proposed, in order to render accurate Nagata patch interpolations.

Biographie de l'auteur

D.M. Neto is a PhD student in the Mechanical Engineering Department, University of Coimbra (UC), where M.C. Oliveira and L.F. Menezes are Professors. They are researchers of CEMUC - Mechanical Engineering Center of UC. Their research is focused on computational mechanics, mainly in the numerical simulation of sheet metal forming processes.

D.M. Neto is a PhD student in the Mechanical Engineering Department, University of Coimbra (UC), where M.C. Oliveira and L.F. Menezes are Professors. They are researchers of CEMUC - Mechanical Engineering Center of UC. Their research is focused on computational mechanics, mainly in the numerical simulation of sheet metal forming processes.

D.M. Neto is a PhD student in the Mechanical Engineering Department, University of Coimbra (UC), where M.C. Oliveira and L.F. Menezes are Professors. They are researchers of CEMUC - Mechanical Engineering Center of UC. Their research is focused on computational mechanics, mainly in the numerical simulation of sheet metal forming processes.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
VDM Verlag Dr. Müller
Date d'édition
2010
Langue
anglais
ISBN 10 
3639301587
ISBN 13 
9783639301588
Reliure
Broché
Nombre de pages
124
Coordonnées du fabricant
non disponible
Personne responsable
non disponible