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Nagata Patch Interpolation Algorithms

Diogo Neto

ISBN 10: 3639301587 / ISBN 13: 9783639301588
Editorial: VDM Verlag
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Paperback. 124 pages. Dimensions: 8.7in. x 5.9in. x 0.3in.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. This item ships from multiple locations. Your book may arrive from Roseburg,OR, La Vergne,TN. N° de ref. de la librería 9783639301588

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Detalles bibliográficos

Título: Nagata Patch Interpolation Algorithms

Editorial: VDM Verlag

Encuadernación: Paperback

Condición del libro: New

Tipo de libro: Paperback

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Sinopsis:

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.

About the Author:

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.

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