Automatic Generation of Anisotropic Patterns of Geometric Features for Industrial DesignSource: Journal of Mechanical Design:;2016:;volume( 138 ):;issue: 002::page 21403DOI: 10.1115/1.4032092Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: While modern computer aided design (CAD) systems currently offer tools for generating simple patterns, such as uniformly spaced rectangular or radial patterns, these tools are limited in several ways: (1) They cannot be applied to freeform geometries used in industrial design, (2) patterning of these features happens within a single working plane and is not applicable to highly curved surfaces, and (3) created features lack anisotropy and spatial variations, such as changes in the size and orientation of geometric features within a given region. In this paper, we introduce a novel approach for creating anisotropic patterns of geometric features on freeform surfaces. Complex patterns are generated automatically, such that they conform to the boundary of any specified target region. Furthermore, user input of a small number of geometric features (called “seed featuresâ€) of desired size and orientation in preferred locations could be specified within the target domain. These geometric seed features are then transformed into tensors and used as boundary conditions to generate a Riemannian metric tensor field. A form of Laplace's heat equation is used to produce the field over the target domain, subject to specified boundary conditions. The field represents the anisotropic pattern of geometric features. This procedure is implemented as an addon for a commercial CAD package to add geometric features to a target region of a threedimensional model using two set operations: union and subtraction. This method facilitates the creation of a complex pattern of hundreds of geometric features in less than 5 min. All the features are accessible from the CAD system, and if required, they are manipulable individually by the user.
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contributor author | Andrade, Diego | |
contributor author | Vyas, Ved | |
contributor author | Shimada, Kenji | |
date accessioned | 2017-05-09T01:30:51Z | |
date available | 2017-05-09T01:30:51Z | |
date issued | 2016 | |
identifier issn | 1050-0472 | |
identifier other | md_138_02_021403.pdf | |
identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/161747 | |
description abstract | While modern computer aided design (CAD) systems currently offer tools for generating simple patterns, such as uniformly spaced rectangular or radial patterns, these tools are limited in several ways: (1) They cannot be applied to freeform geometries used in industrial design, (2) patterning of these features happens within a single working plane and is not applicable to highly curved surfaces, and (3) created features lack anisotropy and spatial variations, such as changes in the size and orientation of geometric features within a given region. In this paper, we introduce a novel approach for creating anisotropic patterns of geometric features on freeform surfaces. Complex patterns are generated automatically, such that they conform to the boundary of any specified target region. Furthermore, user input of a small number of geometric features (called “seed featuresâ€) of desired size and orientation in preferred locations could be specified within the target domain. These geometric seed features are then transformed into tensors and used as boundary conditions to generate a Riemannian metric tensor field. A form of Laplace's heat equation is used to produce the field over the target domain, subject to specified boundary conditions. The field represents the anisotropic pattern of geometric features. This procedure is implemented as an addon for a commercial CAD package to add geometric features to a target region of a threedimensional model using two set operations: union and subtraction. This method facilitates the creation of a complex pattern of hundreds of geometric features in less than 5 min. All the features are accessible from the CAD system, and if required, they are manipulable individually by the user. | |
publisher | The American Society of Mechanical Engineers (ASME) | |
title | Automatic Generation of Anisotropic Patterns of Geometric Features for Industrial Design | |
type | Journal Paper | |
journal volume | 138 | |
journal issue | 2 | |
journal title | Journal of Mechanical Design | |
identifier doi | 10.1115/1.4032092 | |
journal fristpage | 21403 | |
journal lastpage | 21403 | |
identifier eissn | 1528-9001 | |
tree | Journal of Mechanical Design:;2016:;volume( 138 ):;issue: 002 | |
contenttype | Fulltext |